Gary McGuire

Helena Martín-Cruz

Quantum Inf. Process., March, 2024

2022

Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields.

[BibT_eX]

[DOI]

Rod Gow

Finite Fields Their Appl., 2022

2021

Decoding Algorithm for Quadruple-Error-Correcting Reed-Solomon Codes and Its Derived Architectures.

[BibT_eX]

[DOI]

Francisco Garcia-Herrero

Mark F. Flanagan

Alfonso Sánchez-Macián

Juan Antonio Maestro

IEEE Trans. Circuits Syst. II Express Briefs, 2021

On the termination of the general XL algorithm and ordinary multinomials.

[BibT_eX]

[DOI]

Daniela O'Hara

J. Symb. Comput., 2021

Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic.

[BibT_eX]

[DOI]

Oisín Robinson

J. Math. Cryptol., 2021

2020

Quantum codes from a new construction of self-orthogonal algebraic geometry codes.

[BibT_eX]

[DOI]

Julio José Moyano-Fernández

Francisco Monserrat

Quantum Inf. Process., 2020

Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields.

[BibT_eX]

[DOI]

John Sheekey

Proceedings of the Arithmetic of Finite Fields - 8th International Workshop, 2020

2019

A characterization of the number of roots of linearized and projective polynomials in the field of coefficients.

[BibT_eX]

[DOI]

John Sheekey

Finite Fields Their Appl., 2019

2018

On the zeta functions of supersingular curves.

[BibT_eX]

[DOI]

Emrah Sercan Yilmaz

Finite Fields Their Appl., 2018

2017

A few more index calculus algorithms for the ECDLP.

[BibT_eX]

[DOI]

Daniela Müller

IACR Cryptol. ePrint Arch., 2017

2016

JKL-ECM: an implementation of ECM using Hessian curves.

[BibT_eX]

[DOI]

Henriette Heer

Oisín Robinson

LMS J. Comput. Math., 2016

Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2016

2015

Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2.

[BibT_eX]

[DOI]

Emrah Sercan Yilmaz

Des. Codes Cryptogr., 2015

Curves over finite fields and linear recurring sequences.

[BibT_eX]

[DOI]

Omran Ahmadi

Proceedings of the Surveys in Combinatorics 2015, 2015

2014

Supersingular curves over finite fields and weight divisibility of codes.

[BibT_eX]

[DOI]

Cem Güneri

J. Comput. Appl. Math., 2014

On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to x-1+L(x).

[BibT_eX]

[DOI]

Faruk Göloglu

Finite Fields Their Appl., 2014

There Is No 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration.

[BibT_eX]

[DOI]

Bastian Tugemann

Gilles Civario

Exp. Math., 2014

2013

Solving a 6120-bit DLP on a Desktop Computer.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2013

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in F21971.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2013

On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$

[BibT_eX]

[DOI]

Francisco Monserrat

CoRR, 2013

On the Function Field Sieve and the Impact of Higher Splitting Probabilities - Application to Discrete Logarithms in and.

[BibT_eX]

[DOI]

Proceedings of the Advances in Cryptology - CRYPTO 2013, 2013

On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions.

[BibT_eX]

Proceedings of the Finite Fields and Their Applications - Character Sums and Polynomials., 2013

Finite field transforms.

[BibT_eX]

Proceedings of the Handbook of Finite Fields., 2013

2012

Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2012

A construction of weakly and non-weakly regular bent functions.

[BibT_eX]

[DOI]

Ayça Çesmelioglu

Wilfried Meidl

J. Comb. Theory A, 2012

The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2.

[BibT_eX]

[DOI]

Alexey Zaytsev

Finite Fields Their Appl., 2012

An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2012

Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2012

Preface: Richard M. Wilson, Special issue honoring his 65th birthday.

[BibT_eX]

[DOI]

K. T. Arasu

Xiaoyu Liu

Des. Codes Cryptogr., 2012

There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem

[BibT_eX]

[DOI]

Bastian Tugemann

Gilles Civario

CoRR, 2012

2011

On the equivalence of quadratic APN functions.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2011

A few more quadratic APN functions.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2011

Two kinds of division polynomials for twisted Edwards curves.

[BibT_eX]

[DOI]

Richard Moloney

Appl. Algebra Eng. Commun. Comput., 2011

2010

On the nonlinearity of exponential welch costas functions.

[BibT_eX]

[DOI]

Konstantinos Drakakis

Verónica Requena

IEEE Trans. Inf. Theory, 2010

The weight distributions of cyclic codes with two zeros and zeta functions.

[BibT_eX]

[DOI]

Nigel Boston

J. Symb. Comput., 2010

Ternary Kloosterman Sums Modulo 18 Using Stickelberger's Theorem.

[BibT_eX]

[DOI]

Faruk Göloglu

Richard Moloney

Proceedings of the Sequences and Their Applications - SETA 2010, 2010

2009

S-Boxes, APN Functions and Related Codes.

[BibT_eX]

[DOI]

Rafael Álvarez

Proceedings of the Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009

Fourier Spectra of Binomial APN Functions.

[BibT_eX]

[DOI]

SIAM J. Discret. Math., 2009

Construction of bent functions from near-bent functions.

[BibT_eX]

[DOI]

Gregor Leander

J. Comb. Theory A, 2009

Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion.

[BibT_eX]

[DOI]

Richard Moloney

Michael Markowitz

IACR Cryptol. ePrint Arch., 2009

A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2009

APN permutations on Zn and Costas arrays.

[BibT_eX]

[DOI]

Konstantinos Drakakis

Rod Gow

Discret. Appl. Math., 2009

Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions

[BibT_eX]

[DOI]

CoRR, 2009

2008

Construction of Multiblock Space-Time Codes From Division Algebras With Roots of Unity as Nonnorm Elements.

[BibT_eX]

[DOI]

Jyrki T. Lahtonen

Nadya Markin

IEEE Trans. Inf. Theory, 2008

A CM construction for curves of genus 2 with p-rank 1.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2008

Near bent functions on a hyperplane.

[BibT_eX]

[DOI]

J. F. Dillon

Finite Fields Their Appl., 2008

New families of quadratic almost perfect nonlinear trinomials and multinomials.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2008

2007

A Counterexample to a Conjecture of Niho.

[BibT_eX]

[DOI]

Philippe Langevin

Gregor Leander

IEEE Trans. Inf. Theory, 2007

Quadratic Almost Perfect Nonlinear Functions With Many Terms.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2007

Duals of quasi-3 designs are not necessarily quasi-3.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2007

Gold and Kasami-Welch functions, quadratic forms, and bent functions.

[BibT_eX]

[DOI]

Jyrki T. Lahtonen

Adv. Math. Commun., 2007

On the Walsh Spectrum of a New APN Function.

[BibT_eX]

[DOI]

Proceedings of the Cryptography and Coding, 2007

Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2007

Determining the Nonlinearity of a New Family of APN Functions.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2007

2006

New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2006

2005

On quasi-3 designs and spin models.

[BibT_eX]

[DOI]

Discret. Math., 2005

Characterization of SDP Designs That Yield Certain Spin Models.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2005

2004

On three weights in cyclic codes with two zeros.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2004

2003

On the non-existence of quasi-3 designs.

[BibT_eX]

[DOI]

Wayne Broughton

Discret. Math., 2003

2001

On Certain 3-Weight Cyclic Codes Having Symmetric Weights and a Conjecture of Helleseth.

[BibT_eX]

[DOI]

Proceedings of the Sequences and their Applications, 2001

1999

Some Observations on Quasi-3 Designs and Hadamard Matrices.

[BibT_eX]

[DOI]

Wayne Broughton

Des. Codes Cryptogr., 1999

1998

Characterization of Certain Minimal Rank Designs.

[BibT_eX]

[DOI]

J. Comb. Theory A, 1998

Characterizing the Hermitian and Ree Unitals on 28 Points.

[BibT_eX]

[DOI]

Vladimir D. Tonchev

Des. Codes Cryptogr., 1998

1997

Quasi-Symmetric Designs and Codes Meeting the Grey-Rankin Bound.

[BibT_eX]

[DOI]

J. Comb. Theory A, 1997

Construction of a (64, 237, 12) Code via Galois Rings.

[BibT_eX]

[DOI]

A. Robert Calderbank

Des. Codes Cryptogr., 1997

1996

On a conjecture of Helleseth regarding pairs of binary m-sequences.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 1996

Cyclic codes over Z4, locator polynomials, and Newton's identities.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 1996

1995

Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences.

[BibT_eX]

[DOI]