LIST OF PUBLICATIONS - Fernanda
Pambianco |
|
1. PUBLICATIONS IN JOURNALS OR PREPRINTS
[84]
F.
Pambianco, H. Kaneta, S. Marcugini, Zp-invariant
Nonsingular Quartic Surfaces, p ≥ 5, arXiv:1611.10101v2
[83]
F.
Pambianco, D. Bartoli, J. Bierbrauer, G. Faina, S. Marcugini,
A
family of semifields in odd characteristic,
[82]
F.
Pambianco, D. Bartoli, A. A. Davydov, S. Marcugini, On the Smallest
Size of an Almost Complete Subset of a Conic in PG(2, q) and
Extendability of Reed-Solomon Codes, submitted.
[81]
F.
Pambianco, J. Bierbrauer, S. Marcugini,
The
Pace code, the Mathieu group M_{12} and the small Witt design
S(5,6,12), submitted.
[80]
F.
Pambianco, D. Bartoli, A. A. Davydov, A. A. Kreshchuk, S. Marcugini,
New upper bounds on the smallest size of a complete cap in the spaces
PG(3,q) and PG(4,q), preprint.
[79]
F.
Pambianco, D. Bartoli, A. A. Davydov, G. Faina, S.
Marcugini, Conjectural upper bounds on the smallest size of a
complete cap in PG(N,q), N>=3, submitted.
[78] F.
Pambianco, D. Bartoli, A.A. Davydov, M Giulietti, S. Marcugini, On
upper bounds on the smallest size of a saturating set in a projective
plane, Contributions to Discrete Mathematics, to appear.
[77]
F.
Pambianco, D. Bartoli, J. Bierbrauer, M. Giulietti, G.
Kyureghyan,
S.
Marcugini, A family of semifields in characteristic 2, J. Algebraic
Combinatorics (2016), doi:10.1007/s10801-016-0713-7
[76]
F. Pambianco, D. Bartoli, S. Marcugini, On
the completeness of plane cubic curves over finite fields,
Des. Codes Cryptogr. (2016), DOI 10.1007/s10623-016-0215-6
[75]
F. Pambianco, D. Bartoli, G. Faina, S. Marcugini, A
construction of small complete caps in projective spaces,
J. of Geometry (2016), DOI 10.1007/s00022-016-0335-1
[74]
Pambianco, A. A. Davydov, G. Faina, M Giulietti, S. Marcugini, On
constructions and parameters of symmetric configurations vk,
Des.
Codes Cryptogr., 80 (2016), 125–147 DOI 10.1007/s10623-015-0070-x
[73]
F. Pambianco, D. Bartoli, A. A. Davydov, M. Giulietti,
S.Marcugini, Further
results on multiple coverings of the farthest-off points, Advances
in Mathematics of Communications, 10 (2016), 613-632,
doi:10.3934/amc.2016030
[72] F. Pambianco,
D. Bartoli, J. Kiss, S. Marcugini, On the spectrum of sizes of
semiovals contained in the Hermitian curve, European Journal of
Combinatorics 52 (2016), 223-233.
[71] F.
Pambianco, D. Bartoli, A. A. Davydov, G. Faina, A. A. Kreshchuk,
S.
Marcugini, Upper
bounds on the smallest size of a complete arc in a finite
Desarguesian projective plane based on computer search,
J. Geometry 107 (2016),
89–117.
[70]
F. Pambianco, D. Bartoli, J. Bierbrauer, G. Faina, S. Marcugini, The
nonexistence of an additive quaternary [15,5,9]-code,
Finite Fields and Their Applications, 36 (2015), 29-40.
[69]
F. Pambianco, D. Bartoli, A. A. Davydov, M. Giulietti, S. Marcugini,
Multiple
Coverings of the farthest-off points with small density from
projective geometry,
Advances in Mathematics of Communications, 9 (2015), 63-85,
doi:10.3934/amc.2015.9.63
[68]
F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina, S. Marcugini, New
types of estimates for the smallest size of complete arcs in a finite
Desarguesian projective plane, Journal
of Geometry, 106 (2015), 1-17, DOI
10.1007/s00022-014-0224-4
[67] F. Pambianco, D. Bartoli, A.
Davydov, G. Faina, A. Kreschuk, S. Marcugini, Upper
bounds on the smallest size of a complete arc in PG(2,q) under
certain probabilistic conjecture,
Problems of Information Transmission, 50 (2014) 320–339.
[66]
F. Pambianco, D. Bartoli, G. Kiss, G. Faina, and S. Marcugini,
2-semiarcs
in PG(2,q),
q<=13,
Ars Combinatoria, 117 (2014), 435-462.
[65]
F.
Pambianco, Characterization
of the Fermat curve as the most symmetric
non-singular
algebraic plane curve, Mathematische
Zeitschrift,
277 (2014),
975-993, DOI: 10.1007/s00209-014-1288-4
[64]
F.
Pambianco, D. Bartoli, S. Marcugini, The
non-existence of some NMDS codes and the extremal sizes of complete
(n,3)-arcs in PG(2,16), Designs, Codes and Cryptography, 72 (2014),
129–134, DOI 10.1007/s10623-013-9837-0
[63]
F. Pambianco, D. Bartoli, J. Bierbrauer, Y. Edel, G. Faina, S.
Marcugini, The structure of quaternary quantum caps, Designs, Codes
and Cryptography, 72 (2014), 733-747,
DOI 10.1007/s10623-013-9796-5
[61]
F. Pambianco, D. Bartoli, G. Faina, S. Marcugini, Classification of
the smallest minimal 1-saturating sets in PG(2,
q),
q<=23,
Electronic Notes in Discrete Mathematics, 40 (2013), 229-233.
[60]
F. Pambianco, D. Bartoli, A.A. Davydov, G. Faina, S. Marcugini, A
new algorithm and a new type of estimate for the smallest size of
complete arcs in PG(2,q), Electronic Notes in Discrete Mathematics,
40 (2013), 27-31.
[59]
F. Pambianco, D. Bartoli, G. Faina, S. Marcugini, On
the minimum size of
complete
arcs and minimal saturating sets in projective planes,
Journal of Geometry, 104 (2013), 409-419, DOI
10.1007/s00022-013-0178-y
[58]
F.
Pambianco, D. Bartoli, A. A. Davydov, G. Faina, S. Marcugini, A
3-cycle construction of complete arcs sharing (q+3)/2
points with a conic, Advances in Mathematics of Communications, 7
(2013) 319-334, DOI:10.3934/amc.2013.7.319
[57]
F. Pambianco, M. Giulietti, S. Marcugini, S. Zhou, Unitary graphs and
classification of a family of symmetric graphs with complete
quotients, Journal of Algebraic Combinatorics, 38
(2013) 745–765,
DOI
10.1007/s10801-012-0422-9
[56]
F.
Pambianco, D. Bartoli, A. A. Davydov, G. Faina, S. Marcugini, New
upper bounds on the smallest size of a complete arc in the plane
PG(2,q), Journal
of Geometry,
104
(2013), 11–43, DOI:
10.1007/s00022-013-0154-6
[55]
F.
Pambianco, M. Giulietti, G. Korchmįros, S. Marcugini,
Transitive A_6-invariant
k-arcs in PG(2,q),
Designs,
Codes and Cryptography,
68 (2013), ISSN:
0925-1022, doi: 10.1007/s10623-012-9619
[54]
F. Pambianco, A.A. Davydov, M. Giulietti, S. Marcugini, Some
Combinatorial Aspects of Constructing Bipartite-Graph Codes, Graphs
and Combinatorics, 29 (2013) 187-212, ISSN: 0911-0119, doi:
10.1007/s00373-011-1103-5
[82] F.
Pambianco, D. Bartoli, J. Bierbrauer, G. Faina, S. Marcugini,
A family of
semifields in odd characteristic, DESI, doi
[81] F. Pambianco, D. Bartoli, A. A.
Davydov, S. Marcugini, On the Smallest Size of an Almost Complete
Subset of a Conic in PG(2, q) and Extendability of Reed-Solomon
Codes, submitted.
[80] F.
Pambianco, J. Bierbrauer, S. Marcugini, The
Pace code, the Mathieu group M_{12} and the small Witt design
S(5,6,12), submitted.
[79] F. Pambianco, D. Bartoli, A. A.
Davydov, A. A. Kreshchuk, S. Marcugini, New upper bounds on the
smallest size of a complete cap in the spaces PG(3,q) and PG(4,q),
submitted.
[78] F. Pambianco, D. Bartoli, A. A.
Davydov, G. Faina, S. Marcugini, Conjectural upper bounds on the
smallest size of a complete cap in PG(N,q), N>=3, submitted.
[77]
F.
Pambianco, D. Bartoli, J. Bierbrauer, M. Giulietti, G.
Kyureghyan, S. Marcugini, A family of semifields in characteristic
2, J. Algebraic Combinatorics, to appear.
[76] F. Pambianco, D. Bartoli, A.A. Davydov, M
Giulietti, S. Marcugini, On upper bounds on the smallest size of a
saturating set in a projective plane, Contributions to Discrete
Mathematics, to appear.
[75] F. Pambianco, D. Bartoli, S. Marcugini, On the completeness of plane
cubic curves over finite fields, Des. Codes Cryptogr.
DOI 10.1007/s10623-016-0215-6
[74] F. Pambianco, D. Bartoli, G. Faina, S.Marcugini, A construction of small complete
caps in projective spaces, J. of Geometry,
DOI 10.1007/s00022-016-0335-1
[73] F. Pambianco, D. Bartoli, A. A.
Davydov, M. Giulietti, S.Marcugini, Further
results on multiple coverings of the farthest-off points, Advances
in Mathematics of Communications, 10 (2016), 613-632,
doi:10.3934/amc.2016030
[72] F. Pambianco,
D. Bartoli, J. Kiss, S. Marcugini, On the spectrum of sizes of
semiovals contained in the Hermitian curve, European Journal of
Combinatorics 52(2016), 223-233.
[71] F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina, A. A. Kreshchuk
and S. Marcugini, Upper
bounds on the smallest size of a complete arc in a finite Desarguesian
projective plane based on computer search, J. Geometry 107
(2016), 89–117.
[70] F. Pambianco, D.
Bartoli, J. Bierbrauer, G. Faina, and S. Marcugini, The nonexistence of an additive
quaternary [15,5,9]-code,
Finite Fields and Their
Applications, 36 (2015), 29-40.
[69] F. Pambianco, D.
Bartoli, A. A. Davydov, M. Giulietti, and S. Marcugini, Multiple Coverings of the
farthest-off points with small density from projective geometry,
Advances in
Mathematics of Communications, 9 (2015), 63-85,
doi:10.3934/amc.2015.9.63
[68] F. Pambianco, D.
Bartoli, A. A. Davydov, G. Faina, and S. Marcugini, New types of estimates for the
smallest size of complete arcs in a finite Desarguesian projective plane,
Journal
of Geometry, 106 (2015),
1-17, DOI 10.1007/s00022-014-0224-4
[67] F. Pambianco, D.
Bartoli, G. Kiss, G. Faina, and S. Marcugini, 2-semiarcs in PG(2,q), q<=13,
Ars
Combinatoria,
117 (2014), 435-462.
[66]
D. Bartoli, A. Davydov, G. Faina, A. Kreschuk, S. Marcugini and F.
Pambianco,Upper bounds
on the smallest size of a complete arc in PG(2,q)
under certain
probabilistic
conjecture, Problems
of Information Transmission, 50 (2014) 320–339.
[65] F. Pambianco, Characterization of the Fermat
curve as
the most symmetric non-singular algebraic plane curve, Mathematische Zeitschrift,
277 (2014),
975-993, DOI: 10.1007/s00209-014-1288-4
[64] F.
Pambianco, D. Bartoli, J. Bierbrauer, Y. Edel, G. Faina, and
S. Marcugini, The structure of quaternary
quantum caps,
Designs, Codes and Cryptography,
72 (2014), 733-747, DOI: 10.1007/s10623-013-9796-5
[63] F. Pambianco, D. Bartoli, and
S. Marcugini, The
non-existence of some
NMDS codes and
the extremal sizes of complete (n,3)-arcs in PG(2,16),
Designs,
Codes and Cryptography, 72 (2014), 129–134,
DOI 10.1007/s10623-013-9837-0
[62] F. Pambianco, M. Giulietti, S. Marcugini, and
S. Zhou, Unitary graphs
and classification of a family of symmetric graphs with complete
quotients, Journal
of Algebraic Combinatorics, 38 (2013) 745–765, DOI:
10.1007/s10801-012-0422-9
[61] F. Pambianco, M. Giulietti, G. Korchmįros, and
S.
Marcugini, Transitive
A_6-invariant
k-arcs in PG(2,q),
Designs,
Codes and Cryptography, 68 (2013),
73–79 ISSN: 0925-1022, DOI:
10.1007/s10623-012-9619
[60] F. Pambianco, D. Bartoli, G. Faina and
S. Marcugini,
On the minimum size of complete
arcs and
minimal saturating sets in projective planes, Journal of Geometry, 104
(2013), 409-419, DOI 10.1007/s00022-013-0178-y
[59] F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina, and S.
Marcugini,
A 3-cycle construction
of complete arcs sharing (q+3)/2 points with a
conic, Advances
in Mathematics of Communications, 7 (2013) 319-334,
DOI:10.3934/amc.2013.7.319
[58] F. Pambianco, A. A. Davydov, M. Giulietti, and
S. Marcugini, Some Combinatorial Aspects of
Constructing Bipartite-Graph Codes, Graphs and Combinatorics,
29 (2013) 187-212, ISSN: 0911-0119, DOI: 10.1007/s00373-011-1103-5
[57] F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina, and
S. Marcugini,
New upper bounds on the
smallest size of a complete arc in a finite Desarguesian projective
plane,
Journal of Geometry, 104
(2013), 11–43, DOI:
10.1007/s00022-013-0154-6
[56] F. Pambianco, D. Bartoli, A.A. Davydov, M.
Giulietti, and
S. Marcugini, A note on
multiple coverings of the farthest-off points,
Electronic Notes in
Discrete Mathematics, 40 (2013), 289-293.
[55] F. Pambianco, D. Bartoli, G. Faina, and
S. Marcugini,
Classification of the
smallest minimal 1-saturating sets in PG(2, q), q<=23,
Electronic Notes in
Discrete Mathematics, 40 (2013), 229-233.
[54] F. Pambianco, D. Bartoli, A.A. Davydov, G. Faina, and
S. Marcugini, A
new algorithm and a new type of estimate for the smallest size of
complete arcs in PG(2,q), Electronic Notes in Discrete
Mathematics, 40 (2013), 27-31.
[53] F. Pambianco, D. Bartoli, G. Faina, and
S. Marcugini, New
quantum caps in PG(4,4), Journal of Combinatorial Design,
20 (2012), 448-466, ISSN: 1063-8539
[52] F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina and
S. Marcugini, On sizes
of complete arcs in PG(2; q), Discrete Mathematics,
312 (2012) 680-698, ISSN: 0012-365X, DOI: 10.1016/j.disc.2011.07.002
[51] F. Pambianco, J. Bierbrauer, R.D. Fears, and
S. Marcugini, The non
existence of a [[13,5,4]]-quantum stabilizer code,
IEEE
Transactions on Information Theory, 57 (2011), 4788-4793,
ISSN:
0018-9448
[50] F. Pambianco, A. A. Davydov, M. Giulietti, and
S. Marcugini, Linear
nonbinary covering codes and saturating sets in projective spaces,
Advanc. Math. Commun. 5
(2011), 119-147, ISSN: 1930-5346, DOI:
10.3934/amc.2011.5.119
[49] F. Pambianco, D. Bartoli, A. A. Davydov, and
S. Marcugini, The
minimum
order of complete caps in PG(4; 4), Advanc. Math. Commun. 5
(2011),
37-40, ISSN: 1930-5346, DOI:
10.3934/amc.2011.5.37
[48] F. Pambianco, J. Bierbrauer, and
S. Marcugini, A
geometric
non-existence proof of an extremal additive code, Journal of
Combinatorial Theory, Series A,vol. 117 (2010), 128-137,
ISSN: 0097-3165
[47] F. Pambianco, A. A. Davydov, M. Giulietti, and
S. Marcugini, New
inductive constructions of complete caps in PG(N,q), q even, Journal of
Combinatorial Design, 18 (2010) 177-201, ISSN: 1063-8539, DOI:
10.1002/jcd.20230
[46] F. Pambianco, Gy. Kiss, and
S. Marcugini, On
the spectrum of
the sizes of semiovals in PG(2,q), q odd, Discrete Mathematics,
310
(2010), 3188-3193, ISSN: 0012-365X, DOI:
10.1016/j.disc.2009.07.024.
[45] F. Pambianco, J. Bierbrauer, Y. Edel, G. Faina and
S. Marcugini,
Short additive
quaternary codes, IEEE
Transactions on Information
Theory, 55 (2009), 952-954, ISSN: 0018-9448
[44] F. Pambianco, A. A. Davydov, and
S. Marcugini, Complete
(q^2 + q + 8)/2-caps in
the spaces PG(3,q)
q=2 (mod 3) an odd prime,
and a complete 20-cap
in PG(3,5), Designs,
Codes and
Cryptography, 50 (2009), 359-372, ISSN: 0925-1022
[43] F. Pambianco, G. Faina, M. Giulietti, S. Marcugini, and
J.
Bierbrauer, The
geometry of quantum codes, Innovations in
Incidence Geometry, 6-7 (2009), 53-71, ISSN:
1781-6475
[42] F. Pambianco, A. A. Davydov, G. Faina, and
S. Marcugini, On sizes
of
complete caps in projective spaces PG(n,q) and arcs in planes PG(2,q),
Journal of Geometry,
94 (2009), 31-58, ISSN: 0047-2468
[41] F. Pambianco, A. A. Davydov, M. Giulietti, and
S. Marcugini, On
sharply transitive sets in PG(2,q), Innovations in
Incidence Geometry, 6-7 (2009), 139-151, ISSN: 1781-6475
[40] F. Pambianco, O. Heden, S. Marcugini, and
L. Storme, On the
non-existence of a maximal partial spread of size 76 in PG(3,9) Ars
Combinatoria, 89 (2008), 369-382,
ISSN: 0381-7032
[39] F. Pambianco, S. Marcugini, and
P. Lisonek, Constructions
of Small
Complete Arcs with Prescribed Symmetry, Contributions to Discrete
Mathematics, 3 (2008), 14-19, ISSN: 1715-0868
[38] F. Pambianco and
L. Storme,
Minimal blocking sets in
PG(2,9), Ars
Combinatoria, 89 (2008),
223-234, ISSN: 0381-7032
[37] F. Pambianco, S. Marcugini, and
A. Milani, Complete
arcs in
PG(2,25): the
spectrum of the sizes and the classification of the
smallest complete arcs, Discrete Mathematics,
307 (2007),
739-747, ISSN: 0012-365X
[36] F. Pambianco, A. A. Davydov, and
S. Marcugini, Minimal
1-saturating
sets and complete caps in binary projective spaces,
Journal of Combinatorial
Theory, Series A, 113 (2006), 647-663, ISSN:
0097-3165
[35] F. Pambianco, J. Barat, S. Marcugini,
and T. Szonyi, Note on
disjoint blocking sets in Galois planes, Journal of Combinatorial
Design, 14 (2006), 149-158, ISSN: 1063-8539
[34] F. Pambianco, J. Bierbrauer, and
S. Marcugini, The
smallest
size of a complete cap in PG(3,7), Discrete Mathematics,
306
(2006), 1257-1263, ISSN: 0012-365X
[33] F. Pambianco, S. Marcugini, and
A. Milani, Classification
of linear codes exploiting an invariant, Contributions to Discrete
Mathematics, 1 (2006), 1-7, ISSN: 1715-0868
[32] F. Pambianco, A. A. Davydov, and
G. Faina, Constructions
of Small
Complete Caps in Binary Projective Spaces, Designs, Codes and
Cryptography, 37 (2005), 61-80, ISSN: 0925-1022
[31] F. Pambianco, A. A. Davydov, G. Faina, and
S. Marcugini, Locally
Optimal (Nonshortening) Linear Covering Codes and Minimal Saturating
Sets in Projective Spaces, IEEE Transactions on Information
Theory, 51 (2005), 4378-4387, ISSN: 0018-9448
[30] F. Pambianco, A. A. Davydov, G. Faina, and
S. Marcugini,
Computer search in
projective planes for the sizes of complete arcs,
Journal of Geometry,
82 (2005), 50-62.
[29] F. Pambianco, H. Kaneta, and
S. Marcugini, On
arcs and curves
with many automorphisms, Mediterranean Journal of
Mathematics, 2
(2005) 71-102, ISSN: 1660-5446
[28] F. Pambianco, S. Marcugini, and
J. Bierbrauer, A family
of highly
symmetric NMDS codes, IEEE
Transactions on Information Theory, 51
(2005) 3665-3668, ISSN: 0018-9448
[27] F. Pambianco, Gy. Kiss, and
S. Marcugini, On
blocking sets of
inversive planes, Journal
of Combinatorial Design, 13 (2005) , 268-275,
ISSN: 1063-8539
[26] F. Pambianco, S. Marcugini, and
A. Milani, Maximal
(n,3)-arcs
in PG(2,13), Discrete
Mathematics 294 (2005), 139-145,
ISSN: 0012-365X
[25] F. Pambianco, S. Marcugini, and
A. Milani, Classification
of
the (n,3)-arcs in PG(2,7), Journal of Geometry,
80 (2004), 179-184.
[24] F. Pambianco, A. A. Davydov, and
S. Marcugini, Complete
caps in projective spaces PG(n,q), Journal of Geometry,
80 (2004),
23-30.
[23] F. Pambianco, A. A. Davydov, and
S. Marcugini, Linear
codes with
covering radius 2,3 and
saturating sets in projective geometry, IEEE
Transactions on Information Theory, 50 (2004), 537-541,
ISSN: 0018-9448.
[22] F. Pambianco, A. A. Davydov, and
S. Marcugini, On
saturating sets in
projective spaces, Journal
of Combinatorial Theory, Series A, 103
(2003) 1-15, ISSN: 0097-3165.
[21] F. Pambianco, J. Bierbrauer, and
S. Marcugini, Projective
planes,
coverings and a network problem, Designs, Codes and Cryptography,
29
(2003), 71-89, ISSN: 0925-1022.
[20] F. Pambianco and S.
Marcugini, Minimal
1-saturating sets in
PG(2,q),
Australasian Journal of
Combinatorics, 28 (2003)
161-169, ISSN: 1034-4942.
[19] F. Pambianco, S. Marcugini, and
A. Milani, Minimal
complete arcs in
PG(2,q),
q<=29,
The Journal of
Combinatorial Mathematics and
Combinatorial Computing, 47 (2003), 19-29.
[18] F. Pambianco, M. Giulietti, F. Torres, and
E. Ughi, On large
complete arcs: odd case, Discrete Mathematics,
255 (2002) 145–159.
[17] F. Pambianco, M. Giulietti, F. Torres, and
E.Ughi, On
complete arcs arising from plane curves, Designs, Codes and
Cryptography, 25 (2002), 237-246.
[16] F. Pambianco, G. Faina, Gy. Kiss, and
S. Marcugini, The
cyclic model
for PG(n,q)
and a costruction of arcs,
European Journal
of
Combinatorics, 23 (2002), 31-35.
[15] F. Pambianco, S. Marcugini, and
A. Milani, NMDS codes
of maximal
length over GF(q),
8<= q<=
11, IEEE Transactions on
Information
Theory 48 (2002), 963-966.
[14] F. Pambianco, S. Marcugini, and
A. Milani, Classification
of the
[n,3,n-3]q NMDS codes
over GF(7), GF(8) and GF(9), Ars Combinatoria 61
(2001), 263-269.
[13] F. Pambianco, H. Kaneta, and
S. Marcugini, The
most symmetric
non-singular plane curves of degree n <= 20, I, Geom. Dedicata 85
(2001) 317-334.
[12] F. Pambianco and E.
Ughi, A class of k-caps
having k-2 points
in
common with an elliptic quadric and two points on an external line,
Australasian J.
of Comb. 21 (2000), 299-310.
[11] F. Pambianco, A
class of complete k-caps of small cardinality in
projective spaces over fields of characteristic three, Discrete Math.
208/209 (1999), 463-468.
[10] F. Pambianco, S. Marcugini, and
A. Milani, Maximal
(n,3)-arcs in
PG(2,11), Discrete Math.
208/209 (1999), 421-426.
[9] F. Pambianco and G.
Faina, On some 10-arcs for deriving the minimum
order for complete arcs in small projective planes,
Discrete
Math., 208/209 (1999), 261-271.
[8] F. Pambianco and G.
Faina, On the spectrum
of the values k for which
a complete k-cap in PG(n,q)
exists, J. Geom. 62 (1998),
84-98.
[7] F. Pambianco, G. Faina, S. Marcugini, and
A. Milani, F. P., The
sizes of the complete k-caps in PG(n,q), for small q and
3 <=
n <=
5, Ars Combinatoria 50
(1998), 235-243.
[6] F. Pambianco, G. Faina, S. Marcugini, and
A. Milani, The
spectrum of the values k for which there exists a complete k-arc in
PG(2,q)
for q<=23,
Ars Combinatoria
47 (1997), 3-11.
[5] F. Pambianco and G.
Faina, Small
complete k-caps of
PG(r,q), r >= 3, Discrete Math. 174
(1997), 117-123.
[4] F. Pambianco and L.
Storme, Small complete caps in spaces of
even
characteristic,
J. Comb. Theory, Ser. A, 75 No.1 (1996), 70-84.
[3] F. Pambianco and G.
Faina, A class of
complete k-caps in PG(3,q) for
q an odd prime, J.
Geom. 57 (1996), 93-105.
[2] F. Pambianco and M. Mamone Capria, On the Michelson-Morley
experiment, Foundations
of Physics 24 (1994), 885-899.
[1] F. Pambianco and U. Bartocci, Sulla stima del volume di certe
calotte, Archimede
4 (1989), 186-195.
2. ARTICLES IN BOOKS
[L2] F. Pambianco, D. Bartoli, S. Marcugini, and
J. Bierbrauer,
Geometric Constructions
of quantum codes. In Error-Correcting
Codes,
Cryptography and Finite Geometries, A.A. Bruen and D. Wehlau
Ed. AMS, Series: Contemporary Mathematics, vol.
523 (2010), p.
149-154. ISBN/ISSN: 9780821849569
[L1] F. Pambianco, G. Faina, O. Heden, and S.
Marcugini, The maximal
size of a maximal partial spread in PG(3,9). In:
Trends in
Incidence and Galois Geometries: a Tribute to Giuseppe Tallini, Series
Quaderni di Matematica, vol. 19 (2010), p. 77-112, Roma:
Aracne,
ISBN/ISSN: 9788854835719
3. PAPERS in PROCEEDINGS (with referee)
[AC38] F.
Pambianco, J. Bierbrauer, S. Marcugini, A
combinatorial construction of an M_12 - invariant code, Proceedings
of ACCT
2016, Fifteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Albena, Bulgaria, 325-329.
[AC37] F.
Pambianco, D. Bartoli, A. Davydov, G. Faina, S.
Marcugini, Completeness
of the 95256
in PG(2,4),
Proceedings of ACCT
2016, Fifteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Albena, Bulgaria, 319-324.
[AC36] F.
Pambianco, D. Bartoli, A.
Davydov, A.A. Kreshchuc, S. Marcugini, Conjectural upper bounds on the
smallest size of a complete cap in PG(N,q), q>=3,
Proceedings of ACCT
2016, Fifteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Albena, Bulgaria, 27-34.
[AC35] F.
Pambianco, D. Bartoli, A.
Davydov, A.A. Kreshchuc, S. Marcugini, Upper bounds on the smallest
size of a complete cap in PG(3,q) and PG(4,q), Proceedings
of ACCT
2016, Fifteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Albena, Bulgaria, 19-26.
[AC34] F. Pambianco, D.
Bartoli, A. Davydov, M. Giulietti, S. Marcugini, New upper bounds on the smallest
size of a saturating set in a projective plane,
REDUNDANCY-2016 St.-Petersburg.
[AC33] F. Pambianco, D.
Bartoli, S. Marcugini, A
probabilistic construction of low density quasi-perfect linear codes,
Proc. XIV International Workshop on Algebraic
and Combinatorial Coding Theory, ACCT2014, Svetlogorsk , Russia,
September 7-13, 2014, 51-56, ISBN:
9785901158265
[AC32] F. Pambianco, D.
Bartoli, J. Bierbrauer, M. Giulietti, S. Marcugini, A projection construction for
semifields and APN functions in characteristic 2,
Proc.
XIV International Workshop on Algebraic and Combinatorial Coding
Theory, ACCT2014, Svetlogorsk, Russia, September 7-13, 2014, 46-50,
ISBN:
9785901158265
[AC31] F. Pambianco, D.
Bartoli, J. Bierbrauer, G. Faina, S. Marcugini, A family of semifields of order
729,
Proc. XIV International Workshop on Algebraic and Combinatorial Coding
Theory, ACCT2014, Svetlogorsk ,
Russia, September 7-13, 2014, 41-45, ISBN:
9785901158265
[AC30] F. Pambianco, D.
Bartoli, A. Davydov, G. Faina, A. Kreschuk, S. Marcugini, I. Tkachenko,
Upper bounds on the
smallest sizes of a complete arc in PG(2; q) based on computer search,
Proc. XIV International Workshop on Algebraic and Combinatorial Coding
Theory, ACCT2014, Svetlogorsk , Russia,
September 7-13, 2014, 32-40, ISBN:
9785901158265
[AC29] F. Pambianco, D.
Bartoli, A. Davydov, G. Faina, A. Kreschuk, S. Marcugini, Conjectural upper bounds on the
smallest size of a complete arc in PG(2,q) based on an analysis of step-by-step
greedy algorithms,
Proceedings of ACCT
2014, Fourteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Svetlogorsk,
Russia, September 7-13, 2014,
24–31, ISBN:
9785901158265
[AC28] , F. Pambianco, H.
Kaneta, S. Marcugini, The
First and the Second Most Symmetric Nonsingular Cubic Surfaces,
Proceedings of ACCT
2014, Fourteenth International Workshop on Algebraic and Combinatorial
Coding Theory,
Svetlogorsk, Russia, September 7-13, 2014,
192–197, ISBN:
9785901158265
[AC27] F. Pambianco, D.
Bartoli, A. Davydov, G. Faina, A. Kreshchuk, S. Marcugini, Two types of upper bounds on the
smallest size of a complete arc in the plane PG(2,q),
Proc. Seventh Int. Workshop on Optimal Codes and Related Topics,
OC2013, Albena, Bulgaria, September 2013, 19–25.
[AC26] F. Pambianco, D.
Bartoli, A. Davydov, G. Faina, S. Marcugini, New upper bounds on the smallest
size of a complete
cap in the space PG(3; q), Proc. Seventh
Int. Workshop on Optimal Codes and Related Topics, OC2013, Albena,
Bulgaria, September 2013, 26–32.
[AC25] F. Pambianco, D. Bartoli, A. A. Davydov, M. Giulietti,
and S.
Marcugini, Multiple
coverings of the farthest-off points and
multiple saturating sets in projective spaces, Proceedings
of ACCT
2012, Thirteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Pomorie, Bulgaria, June 2012, 53-59, ISSN 1313-423X.
[AC24] F. Pambianco, D. Bartoli, A. A. Davydov,
and S.
Marcugini, New
type of estimations for the smallest size of
complete
arcs in PG(2,q), Proceedings of
ACCT 2012, Thirteenth
International Workshop on Algebraic and Combinatorial Coding Theory,
Pomorie, Bulgaria, June 2012, 67-72, ISSN 1313-423X.
[AC23] F. Pambianco, D. Bartoli, and
S. Marcugini, The
maximum and
minimum sizes of complete (n,3)-arcs in PG(2,16),
Proceedings of ACCT
2012, Thirteenth International Workshop on Algebraic and Combinatorial
Coding Theory, Pomorie, Bulgaria, June 2012, 77-82, ISSN 1313-423X.
[AC22] F. Pambianco, D. Bartoli, A. A. Davydov, G. Faina,
and S.
Marcugini, New
upper bounds on the smallest size of a complete
arc in the plane PG(2,q),
Proceedings of ACCT 2012, Thirteenth
International Workshop on Algebraic and Combinatorial Coding Theory,
Pomorie, Bulgaria, June 2012, 60-66, ISSN 1313-423X.
[AC21] F. Pambianco, D. Bartoli, G. Faina,
and S. Marcugini,
Classification of minimal
1-saturating sets in PG(2,q), q <=23,
Proceedings of ACCT 2012, Thirteenth International Workshop on
Algebraic and Combinatorial Coding Theory, Pomorie, Bulgaria, June
2012, 73-76, ISSN 1313-423X.
[AC20] F. Pambianco, The
Fermat curve x^n
+ y^n + z^n: the
most
symmetric non-singular algebraic plane curve, Proceedings
of ACCT 2010,
Twelfth International Workshop of Algebraic and Combinatorial Coding
Theory, Novosibirsk, Russia, September 2010, 245-250, ISBN:
9785861341745
[AC19] F. Pambianco, A. A. Davydov, G. Faina, and
S. Marcugini,
New sizes of complete
arcs in PG(2; q),
Proceedings of ACCT 2010,
Twelfth International Workshop of Algebraic and Combinatorial Coding
Theory, Novosibirsk, Russia, September 2010, 103-108, ISBN:
9785861341745.
[AC18] F. Pambianco, D. Bartoli, and
S. Marcugini, The
spectrum of
linear pure quantum [[n,n-10,4]]-codes, Proceedings
of ACCT 2010,
Twelfth International Workshop of Algebraic and Combinatorial Coding
Theory, Novosibirsk, Russia, September 2010,
31-36, ISBN: 9785861341745.
[AC17] F. Pambianco, A. A. Davydov, and
S. Marcugini, A
geometric
construction of complete arcs sharing (q + 3)/2 points with a conic,
Proceedings of ACCT 2010, Twelfth International Workshop of Algebraic
and Combinatorial Coding Theory, Novosibirsk, Russia, September
2010, 109-115, ISBN: 9785861341745.
[AC16] F. Pambianco, S. Marcugini, and
A. Milani, Minimal
complete arcs in
PG(2,q),
q<=
32, Proceedings of ACCT 2010, Twelfth International
Workshop of Algebraic and Combinatorial Coding Theory, Novosibirsk,
Russia, September 2010, 217-222, ISBN: 9785861341745.
[AC15] F. Pambianco, A. A. Davydov, M. Giulietti,
and S. Marcugini, On
the spectrum of possible parameters of symmetric configurations,
Proceedings of XII International Symposium on Problems of Redundancy in
Information and Control Systems, St. Petersburg, Russia, May
26-30, 2009, 59-64, ISBN: 9785808804470
[AC14] F. Pambianco, A. A. Davydov, M. Giulietti,
and S. Marcugini, Linear
covering codes of radius 2 and 3, Proceedings
of the Workshop “Coding
Theory Days in St. Petersburg”. Saint-Petersburg, Russia, October 2008,
12-17, ISBN: 9785808803787
[AC13] F. Pambianco, A. A. Davydov, M. Giulietti,
and S. Marcugini,
Linear covering codes
over nonbinary finite fields, Proceedings of ACCT
2008, Eleventh International Workshop of Algebraic and Combinatorial
Coding Theory, Pamporovo, Bulgaria, June 16-22 2008, 70-75, ISSN:
1313-423X
[AC12] F. Pambianco, A. A. Davydov G. Faina, and
S. Marcugini, On the
spectrum of sizes of complete caps in projective spaces PG(n,q)
of
small dimension, Proceedings of ACCT 2008, Eleventh
International
Workshop of Algebraic and Combinatorial Coding Theory, Pamporovo,
Bulgaria, June 16-22 2008, 57-62, ISSN: 1313-423X
[AC11] F. Pambianco Gy. Kiss, and
S. Marcugini, Semiovals
in projective
planes of small order, Proceedings of ACCT 2008,
Eleventh
International Workshop of Algebraic and Combinatorial Coding Theory.
Pamporovo, Bulgaria, June 16-22 2008, 151-154, ISSN: 1313-423X
[AC10] F. Pambianco, A. A. Davydov, M. Giulietti,
and S. Marcugini,
Symmetric configurations
for bipartite-graph codes, Proceedings of ACCT
2008, Eleventh International Workshop of Algebraic and Combinatorial
Coding Theory, Pamporovo, Bulgaria, June 16-22 2008, 63-69, ISSN:
1313-423X
[AC9] F. Pambianco, J. Bierbrauer, G. Faina, and
S. Marcugini, Additive
quaternary codes of small length, Proceedings of ACCT
2006, Tenth
International Workshop on Algebraic and Combinatorial Coding Theory,
Zvenigorod, Russia, September 3-9 2006, 15-18.
[AC8] F. Pambianco, A. A. Davydov, and
S. Marcugini, Complete(q^2
+ q +
8)/2-caps in the
projective spaces PG(3,q),
with odd prime q=2
(mod 3),
Proceedings of ACCT 2006, Tenth International Workshop on Algebraic and
Combinatorial Coding Theory, Zvenigorod, Russia, September
3-9
2006, 76-80.
[AC7] F. Pambianco, J. Bierbrauer, G. Faina, and
S. Marcugini, On
the structure of the (n,r)-arcs in PG(2,q), Proceedings of
ACCT 2006,
Tenth International Workshop on Algebraic and Combinatorial Coding
Theory. Zvenigorod, Russia, September 3-9 2006,
19-23.
[AC6] F. Pambianco, A. A. Davydov G. Faina, and
S. Marcugini, Locally
optimal covering codes and minimal saturating sets,
Proceedings of OC
2005, Fourth International Workshop on Optimal Codes and Related
Topics, Pamporovo, Bulgaria, June 17-23 2005, 114-120, ISBN: 9548986183
[AC5] F. Pambianco, J. Bierbrauer, and
S. Marcugini, Some
highly symmetric
codes, Proceedings of the Fourth International
Workshop on
Optimal Codes and Related Topics. Pamporovo, Bulgaria, June 17-23 2005,
14-19, ISBN: 9548986183
[AC4] F. Pambianco and
S. Marcugini, AMDS
codes of small dimension,
Proceedings of ACCT 2004, Ninth International Workshop on Algebraic and
Combinatorial Coding Theory, Kranevo, Bulgaria, June 19-25
2004, 277-282, ISBN: 9548986140
[AC3] F. Pambianco, A. A. Davydov, and
S. Marcugini, Minimal 1-saturating
sets and complete caps in binary projective geometries,
Proceedings of
ACCT 2004, Ninth International Workshop on Algebraic and Combinatorial
Coding Theory, Kranevo, Bulgaria, June 19-25 2004, 113-119,
ISBN:
9548986140
[AC2] F. Pambianco, S. Marcugini, and A.
Milani, Classification
of linear
codes by preclassification, Proceedings of ACCT 2002,
Eighth
International Workshop on Algebraic and Combinatorial Coding Theory.
Tsarskoe Selo, Russia, September 8-14, 2002, 200-203.
[AC1] F. Pambianco, S. Marcugini, and A. Milani, Existence and
classification of NMDS codes over GF(5) and GF(7),
Proceedings of ACCT
2000, Seventh International Workshop on Algebraic and Combinatorial
Coding Theory, Bansko, Bulgaria, June 18-24, 2000, 232-239.
4. PhD THESIS
[TD] F. Pambianco, Classi
di Weyl di varietą complesse, Tesi di
Dottorato in Matematica, Universitą degli Studi “La Sapienza” di Roma,
1996.
[RT1] F. Pambianco, On
Weyl classes on compact manifolds,
Dipartimento di Matematica, Universitą degli Studi di Perugia, Rapporto
Tecnico 2002-12.