Publications


Two-to-one functions from Galois extensions


D. Bartoli, M. Giulietti, Marco Timpanella

Discret. Appl. Math., 2022


An 𝔽p2-maximal Wiman sextic and its automorphisms


M. Giulietti, M. Kawakita, Stefano Lia, M. Montanucci

Advances in Geometry, 2021


New examples of maximal curves with low genus


D. Bartoli, M. Giulietti, Mokoto Kawakita, M. Montanucci

Finite Fields Their Appl., 2019


New bounds for linear codes of covering radii 2 and 3


D. Bartoli, A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

Cryptography and Communications, 2018


On the Dickson–Guralnick–Zieve curve


M. Giulietti, G. Korchm'aros, Marco Timpanella

Journal of Number Theory, 2018


An $\mathbbF_p^2$-maximal Wiman's sextic and its automorphisms


M. Giulietti, M. Kawakita, Stefano Lia, M. Montanucci

2018


New Bounds for Linear Codes of Covering Radius 2


D. Bartoli, A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

ICMCTA, 2017


Permutation polynomials, fractional polynomials, and algebraic curves


D. Bartoli, M. Giulietti

Finite Fields Their Appl., 2017


Linear codes from Denniston maximal arcs


D. Bartoli, M. Giulietti, M. Montanucci

Des. Codes Cryptogr., 2017


Algebraic curves with many automorphisms


M. Giulietti, G. Korchmáros

Advances in Mathematics, 2017


Complete permutation polynomials from exceptional polynomials


D. Bartoli, M. Giulietti, L. Quoos, G. Zini

Journal of Number Theory, vol. 176, Elsevier {BV}, 2017 Jul, pp. 46--66


Large p -groups of automorphisms of algebraic curves in characteristic p


Massimo Giulietti, G{\'{a}}bor Korchm{\'{a}}ros

Journal of Algebra, vol. 481, Elsevier {BV}, 2017 Jul, pp. 215--249


Maximum scattered linear sets and complete caps in Galois spaces


Daniele Bartoli, Massimo Giulietti, Giuseppe Marino, Olga Polverino

Combinatorica, Springer Nature, 2017 Feb


On monomial complete permutation polynomials


D. Bartoli, M. Giulietti, Giovanni Zini

Finite Fields Their Appl., 2016


On some Galois covers of the Suzuki and Ree curves


M. Giulietti, M. Montanucci, Luciane Quoos, Giovanni Zini

Journal of Number Theory, 2016


Maximal curves from subcovers of the GK-curve


Massimo Giulietti, Luciane Quoos, Giovanni Zini

Journal of Pure and Applied Algebra, vol. 220, Elsevier {BV}, 2016 Oct, pp. 3372--3383


On the covering radius of MDS codes


D. Bartoli, M. Giulietti, I. Platoni

IEEE Transactions on Information Theory, vol. 61, 2015, pp. 801-811


Complete (k,3)-arcs from quartic curves


D. Bartoli, M. Giulietti, G. Zini

Designs, Codes, and Cryptography, 2015


On constructions and parameters of symmetric configurations vk


A.A. Davydov, G. Faina, M. Giulietti, S. Marcugini, F. Pambianco

Designs, Codes, and Cryptography, 2015


New upper bounds on the smallest size of a saturating set in a projective plane


D. Bartoli, A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

2016 XV International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY), 2015


Multiple coverings of the farthest-off points with small density from projective geometry


D. Bartoli, A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

Adv. Math. Commun., 2015


Further results on multiple coverings of the farthest-off points


D. Bartoli, A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

Adv. Math. Commun., 2015


Constant dimension codes from Riemann-Roch spaces


D. Bartoli, Matteo Bonini, M. Giulietti

Adv. Math. Commun., 2015


Complete $$(k,3)$$(k,3)-arcs from quartic curves


D. Bartoli, M. Giulietti, Giovanni Zini

Des. Codes Cryptogr., 2015


On the Covering Radius of MDS Codes


D. Bartoli, M. Giulietti, Irene Platoni

IEEE Transactions on Information Theory, 2015


Large 2-groups of automorphisms of algebraic curves over a field of characteristic 2


M. Giulietti, G. Korchmáros

Journal of Algebra, vol. 427, 2015, pp. 264-294


On maximal curves that are not quotients of the Hermitian curve


M. Giulietti, M. Montanucci, Giovanni Zini

Finite Fields Their Appl., 2015


Small complete caps from singular cubics


N. Anbar, D. Bartoli, M. Giulietti, I. Platoni

Journal of Combinatorial Designs, vol. 22, 2014, pp. 409-424


Small complete caps from singular cubics, II


N. Anbar, D. Bartoli, I. Platoni, M. Giulietti

Journal of Algebraic Combinatorics, 2014


On the size of the automorphism group of a plane algebraic curve


N. Anbar, D. Bartoli, S. Fanali, M. Giulietti

Journal of Pure and Applied Algebra, vol. 217, 2013, pp. 1224-1236


Bicovering arcs and small complete caps from elliptic curves


N. Anbar, M. Giulietti

Journal of Algebraic Combinatorics, vol. 38, 2013, pp. 371-392


Small complete caps in three-dimensional Galois spaces


D. Bartoli, G. Faina, M. Giulietti

Finite Fields Their Appl., 2013


A note on multiple coverings of the farthest-off points


F. Pambianco, A. Davydov, D. Bartoli, M. Giulietti, S. Marcugini

Electron. Notes Discret. Math., 2013


Transitive A (6)-invariant k-arcs in PG(2, q)


M. Giulietti, G. Korchmaros, S. Marcugini, F. Pambianco

Designs Codes and Cryptography, vol. 68, 2013, pp. 73-79


Unitary graphs and classification of a family of symmetric graphs with complete quotients


M. Giulietti, S. Marcugini, F. Pambianco, S. M. Zhou

Journal of Algebraic Combinatorics, vol. 38, 2013, pp. 745-765


Arcs in AG(2, q) determining few directions


M. Giulietti, G. Korchmáros

Des. Codes Cryptogr., 2013


On constructions and parameters of symmetric configurations $$v_k$$vk


A. Davydov, G. Faina, M. Giulietti, S. Marcugini, F. Pambianco

Des. Codes Cryptogr., 2012


Quotient curves of the GK curve


Stefania Fanali, Massimo Giulietti

Advances in Geometry, vol. 12, 2012, pp. 239-268


ON THE NUMBER OF RATIONAL POINTS OF GENERALIZED FERMAT CURVES OVER FINITE FIELDS


Stefania Fanali, Massimo Giulietti

International Journal of Number Theory, vol. 8, 2012, pp. 1087-1097


On maximal curves over finite fields of small order


S. Fanali, M. Giulietti, Irene Platoni

Adv. Math. Commun., 2012


Transitive A6-invariant k-arcs in PG(2, q)


M. Giulietti, G. Korchmáros, S. Marcugini, F. Pambianco

Des. Codes Cryptogr., 2011


New Inductive Constructions of Complete Caps in PG(N, q), q even


Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco

Journal of Combinatorial Designs, vol. 18, 2010, pp. 177-201


Automorphism groups of algebraic curves with p-rank zero


Massimo Giulietti, Gabor Korchmaros

Journal of the London Mathematical Society-Second Series, vol. 81, 2010, pp. 277-296


Algebraic curves with a large non-tame automorphism group fixing no point


M. Giulietti, G. Korchmáros

Transactions of the American Mathematical Society, vol. 362, 2010, pp. 5983-6001


On cyclic semi-regular subgroups of certain 2-transitive permutation groups


M. Giulietti, G. Korchmáros

Discret. Math., 2010


Three-level secret sharing schemes from the twisted cubic


M. Giulietti, Rita Vincenti

Discret. Math., 2010


One-Point AG Codes on the GK Maximal Curves


S. Fanali, M. Giulietti

IEEE Transactions on Information Theory, 2010


Linear nonbinary covering codes and saturating sets in projective spaces


A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

Adv. Math. Commun., 2009


Some Combinatorial Aspects of Constructing Bipartite-Graph Codes


A. Davydov, M. Giulietti, S. Marcugini, F. Pambianco

Graphs Comb., 2009


Line partitions of internal points to a conic in PG(2,q)


Massimo Giulietti

Combinatorica, vol. 29, 2009, pp. 19-25


A new family of maximal curves over a finite field


Massimo Giulietti, Gabor Korchmaros

Mathematische Annalen, vol. 343, 2009, pp. 229-245


Abstract ovals of order 9


M. Giulietti, E. Montanucci

Ars Combinatoria, vol. 91, 2009, pp. 297-301


On some open problems on maximal curves


S. Fanali, M. Giulietti

Des. Codes Cryptogr., 2009


On maximal curves with Frobenius dimension 3


S. Fanali, M. Giulietti

Des. Codes Cryptogr., 2009


Arcs in Desarguesian nets


A. Beato, G. Faina, M. Giulietti

Contributions Discret. Math., 2008


On the number of chords of an affinely regular polygon passing through a given point


Massimo Giulietti

Acta Sci. Math. (Szeged), vol. 74, 2008, pp. 901--913


On cyclic caps in 4-dimensional projective spaces


M. Giulietti

Des. Codes Cryptogr., 2008


Nakajima's remark on Henn's proof


M. Giulietti, G. Korchmáros

Electron. Notes Discret. Math., 2008


On automorphism groups of certain Goppa codes


M. Giulietti, G. Korchmáros

Des. Codes Cryptogr., 2008


The geometry of quantum codes


Jrgen Bierbrauer, Giorgio Faina, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco

Innov. Incidence Geom., 6/7, 2007, pp. 53--71


On sharply transitive sets in $\\rm PG\(2,q)$


Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco

Innov. Incidence Geom., 6/7, 2007, pp. 139--151


On small dense sets in Galois planes


M. Giulietti

Electronic Journal of Combinatorics, vol. 14, 2007


Small complete caps PG(N,q), q even


Massimo Giulietti

Journal of Combinatorial Designs, vol. 15, 2007, pp. 420-436


Small complete caps in Galois affine spaces


Massimo Giulietti

Journal of Algebraic Combinatorics, vol. 25, 2007, pp. 149-168


Small complete caps in Galois affine spaces


Massimo Giulietti

Journal of Algebraic Combinatorics, vol. 25, 2007, pp. 149-168


Small complete caps PG(N,q), q even


Massimo Giulietti

Journal of Combinatorial Designs, vol. 15, 2007, pp. 420-436


Blocking sets of external lines to a conic in PG(2,q),q even


Massimo Giulietti

European Journal of Combinatorics, vol. 28, 2007, pp. 36-42


Quasi-perfect linear codes with minimum distance 4


Massimo Giulietti, Fabio Pasticci

Ieee Transactions on Information Theory, vol. 53, 2007, pp. 1928-1935


On Small Dense Sets in Galois Planes


M. Giulietti

Electron. J. Comb., 2007


On the completeness of certain n-tracks arising from elliptic curves


M. Giulietti, Fabio Pasticci

Finite Fields Their Appl., 2007


Quasi-Perfect Linear Codes With Minimum Distance $4$


M. Giulietti, Fabio Pasticci

IEEE Transactions on Information Theory, 2007


Blocking sets of certain line sets related to a conic


A Aguglia, M Giulietti

Designs Codes and Cryptography, vol. 39, 2006, pp. 397-405


On hyperfocused arcs in P G(2,q)


A. Giulietti, E. Montanucci

Discrete Mathematics, vol. 306, 2006, pp. 3307-3314


Quotient curves of the Suzuki curve


Massimo Giulietti, Gabor Korchmaros, Fernando Torres

Acta Arithmetica, vol. 122, 2006, pp. 245-274


On hyperfocused arcs in PG(2, q)


M. Giulietti, Elisa Montanucci

Discret. Math., 2006


On the number of rational points of a plane algebraic curve


M Giulietti

Archiv Der Mathematik, vol. 82, 2004, pp. 214-221


On the extendibility of near-MDS elliptic codes


M Giulietti

Applicable Algebra in Engineering Communication and Computing, vol. 15, 2004, pp. 1-11


On dense sets related to plane algebraic curves


M. Giulietti, F. Torres

Ars Combinatoria, vol. 72, 2004, pp. 33-40


On the Extendibility of Near-MDS Elliptic Codes


M. Giulietti

Applicable Algebra in Engineering, Communication and Computing, 2004


On small dense arcs in Galois planes of square order


G. Faina, M. Giulietti

Discret. Math., 2003


On plane arcs contained in cubic curves


M Giulietti

Finite Fields and Their Applications, vol. 8, 2002, pp. 69-90


On cyclic k-arcs of Singer type in PG(2,q)


M. Giulietti

Discrete Mathematics, vol. 255, 2002, pp. 135-144


On complete arcs arising from plane curves


M Giulietti, F Pambianco, F Torres, E Ughi

Designs Codes and Cryptography, vol. 25, 2002, pp. 237-246


On large complete arcs: Odd case


M. Giulietti, F. Pambianco, F. Torres, E. Ughi

Discrete Mathematics, vol. 255, 2002, pp. 145-159


On cyclic k-arcs of Singer type in PG(2, q)


M. Giulietti

Discret. Math., 2002


Decoding Goppa Codes with MAGMA


G. Faina, M. Giulietti

Ars Comb., 2001


The desarguesian plane of order thirteen


M. Giulietti, J. W. P. Hirschfeld, G. Korchmaros

Finite Geometries, Proceedings, A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel, J. A. Thas, vol. 3, Dordrecht, 2001, pp. 159-170


Small complete caps in PG(2, q), for q an odd square


M. Giulietti

Journal of Geometry, vol. 69, 2000, pp. 110-116


Algebraic curves over finite fields and MAGMA


Massimo Giulietti

Ital. J. Pure Appl. Math., 2000, pp. 19--32


On Complete Arcs Arising from Plane Curves


M. Giulietti, F. Pambianco, F. Torres, E. Ughi

Des. Codes Cryptogr., 2000


Inviluppi di k-archi in piani proiettivi sopra campi finiti e basi di Gröbner


M. Giulietti

Rendiconti del Circolo Matematico di Palermo, vol. 48, 1999, pp. 191-200


A small complete arc in PG(2, q), q = p2, p ≡ 3 (mod 4)


M. Giulietti, E. Ughi

Discrete Mathematics, 208-209, 1999, pp. 311-318


On large complete arcs: odd case


M. Giulietti, F. Pambianco, F. Torres, E. Ughi

Discret. Math., 1999


Curves covered by the Hermitian curve


M. Giulietti, J. Hirschfeld, G. Korchmáros, F. Torres

Finite Fields Their Appl., 1998

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