Research

Journal Papers :

  • N.Pace, A.Sonnino, "On linear codes admitting large automorphism groups", to appear in Designs, Codes and Cryptography (link).
  • N.Pace, New ternary linear codes from projectivity groups, Discrete Mathematics, Volume 331, pp 22-26, 28 September 2014 (link).
  • G.Korchmaros, G.Nagy, N.Pace, k-nets embedded in a projective plane over a field, Combinatorica, Volume 35, Issue 1, pp 63--74, February 2015 (link).
  • G.Korchmaros, G.Nagy, N.Pace, 3-nets realizing a group in a projective plane, Journal of Algebraic Combinatorics, Volume 39, Issue 4, pp 939-966, June 2014 (link).
  • N.Pace, On small complete arcs and transitive A5-invariant arcs in the projective plane PG(2,q), J. Comb. Des., Volume 22, Issue 10, pages 425-434, October 2014 (link).
  • G.Nagy, N.Pace, On small 3-nets embedded in a projective plane over a field, Journal of Combinatorial Theory, Series A, Volume 120, Issue 7, 1632-1641, September 2013 (link).
  • G.Korchmaros, N.Pace, Coset Intersection of Irreducible Plane Cubics, Designs, Codes and Cryptography, Volume 72, Issue 1, pp 53–75, July 2014 (link).
  • E.Kolotoglu, S.Magliveras, N.Pace, Related Decompositions and New Constructions of the Higman-Sims and Hall-Janko Graphs, Australasian Journal of Combinatorics, Volume 54, October 2012 (link).
  • N.Pace, "On the distribution of the elements of a finite group generated by covers", Appl. Algebra Engrg. Comm. Comput., Volume 22, Numbers 5-6, 367-373, December 2011(link).
  • I.Ilic, S.Magliveras, N.Pace, "Decomposing the Higman-Sims graph into double Petersen graphs", J. of Combinatorial Math. and Comb. Computing (JCMCC), Volume 80, February 2012 (preprint).
  • G.Korchmaros, N.Pace, "Infinite Family of Large Complete Arcs in PG(2,qn), with q odd and n>1 odd". Designs, Codes and Cryptography, Volume 55, Numbers 2-3, May, 2010 , pp 285-296 (link).
  • V.Bozovic, N.Pace, "Factorization of groups using free mappings", Journal of Algebra and its Applications, Volume:  7, Issue 5, October 2008, pp 647-662 (link)(preprint).

Preprints:

Conference Presentations:

  • Combinatorics 2016, "Linear Codes, Automorphism Groups and Permutation Decoding", Maratea, Italy, May 30-June 4, 2016.
  • 12th International Conference on Finite Fields and Their Applications (Fq12), "Code Automorphisms and Permutation Decoding of Linear Codes", Saratoga Springs, NY, USA, July 13-17, 2015.
  • XXIII Brazilian Algebra Meeting (Special Session: "Finite Fields and Applications"), "Arcs and Linear Codes with Prescribed Symmetry", Maringá, Paraná, Brazil, July 27-August 1, 2014.
  • Combinatorics 2014,"Arcs and Linear Codes with Prescribed Automorphism Groups", Gaeta, Italy, June 1-6, 2014.
  • 45th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida, USA, "Linear Codes from Projectivity Groups ", March 3-7, 2014.
  • Special Days on combinatorial constructions using finite fields, "k-nets in a projective plane over a field", Special Semester on Applications of Algebra and Number Theory at RICAM, Linz, December 5, 2013.
  • 13th ALGA Meeting, "Realization of Finite Groups by 3-Nets in a Projective Plane over a Field", Teresopolis, RJ, Brazil, June 30-July 5, 2013.
  • Workshop "Young Researchers in Algebra", "Complete Arcs in the Desarguesian Plane PG(2,q)", IME—USP, São Paulo, Brazil, May 24—25, 2013.
  • 44th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida, USA, "On small complete arcs in projective planes", March 4-8, 2013.
  • 43rd Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida, USA, "Related Decompositions of the Higman-Sims and Hall-Janko Graphs", March 5-9, 2012.
  • 2nd Istanbul Design Theory, Graph Theory and Combinatorics Conference, "Decomposing the Higman-Sims graph into double Petersen graphs", June 27-July 01, 2011.
  • NATO Advanced Study Institute on Information Security and Related Combinatorics, Opatija, Croatia, "On the Distribution of the Elements of a Finite Group Generated by Random Covers", May 31 - June 11 2010.
  • 4th Pythagorean Conference, Corfu, Greece, "On the distribution of elements of a finite group generated by random covers", May 30 - June 4 2010.
  • 22nd Midwest Conference on Combinatorics, Cryptography, and Computing, Las Vegas, Nevada, USA, "Free Mappings and Factorizations of Groups", October 22-24 2008.

Seminar Presentations:

  • Algebra and Number Theory Seminar, University College Dublin, "Permutation decoding of linear error-correcting codes", April 11, 2016.
  • Research Seminar, School of Mathematical Sciences, Dublin Institute of Technology, "Finite k--nets in projective planes'', December 11, 2015.
  • 1st Workshop for the ICMC/USP Postdocs, "Code Automorphisms and Permutation Decoding of Linear Codes from Finite Projective Geometries'', ICMC, University of São Paulo, São Carlos, April 30, 2015.
  • Geometria Algébrica (p>=0) e Temas afins, IMECC, Universidade Estadual de Campinas, "Complete arcs in projective planes", April 2013.
  • Algebra, Cryptography & Logic Seminar, Department of Mathematical Sciences, Florida Atlantic University, "3-Nets Embedded in a Projective Plane over a Field", Spring 2012.
  • Algebra, Cryptography & Logic Seminar, Department of Mathematical Sciences, Florida Atlantic University, "Constructing the Desarguesian Plane PG(2,q) from PGL(2,q)", Fall 2010.
  • Crypto Meetings, Department of Mathematical Sciences, Florida Atlantic University, "Hyperelliptic Curves and Cryptography", Fall 2007.

Scholarships/Grants:

  • Post-degree scholarship: Borsa di studio post-lauream “Ricerca e sviluppo di un sistema prototipale integrato HW/SW dedicato alle trasmissioni multimediali crittografate, in ambiente Internet e su linee dedicate punto-punto, basato su protocollo IPSEC ed UMTS, utilizzando come elemento crittografico un algoritmo innovativo implementato con funzioni di geometria combinatoria”, April-June 2006. Department of Mathematics and Computer Science. Università degli Studi della Basilicata (Italy). (link)