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papers

Publications (21)

cs.DS2013

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

Gary McGuire, Bastian Tugemann, Gilles Civario

math.CO2010

A Construction of Weakly and Non-Weakly Regular Bent Functions

Ayca Cesmelioglu, Gary McGuire, Wilfried Meidl

math.GR2012

Bells, Motels and Permutation Groups

Gary McGuire

math.CO2002

Characterization of SDP Designs That Yield Certain Spin Models

Carl Bracken, Gary McGuire

math.AG2010

On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Vijaykumar Singh, Alexey Zatysev, Gary McGuire

math.NT2003

Weights in Codes and Genus 2 Curves

Gary McGuire, Jose Felipe Voloch

math.AG2009

Two Kinds of Division Polynomials For Twisted Edwards Curves

Richard Moloney, Gary McGuire

math.NT2010

Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

Faruk Gologlu, Gary McGuire, Richard Moloney

math.NT2014

Decomposing Jacobians of Curves over Finite Fields in the Absence of Algebraic Structure

Omran Ahmadi, Gary McGuire, Antonio Rojas-León

math.AG2010

The Intersection of Two Fermat Hypersurfaces in P^3 via Computation of Quotient Curves

Vijaykumar Singh, Gary McGuire

math.AG2010

On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Vijaykumar Singh, Alexey Zatysev, Gary McGuire

math.AG2010

The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2

Gary McGuire, Alexey Zaytsev

cs.IT2008

A Few More Quadratic APN Functions

Carl Bracken, Eimear Byrne, Nadya Markin +1

math.CO2011

On the Equivalence of Quadratic APN Functions

Eimear Byrne, Carl Bracken, Gary McGuire +1

math.AG2008

Division polynomials for twisted Edwards curves

Richard Moloney, Laura Hitt, Gary McGuire

math.AG2011

Characteristic Polynomial of Supersingular Abelian Varieties over Finite Fields

Vijaykumar Singh, Gary McGuire, Alexey Zaytsev

math.NT2010

Ternary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

Faruk Gologlu, Gary McGuire, Richard Moloney

cs.DM2008

Fourier Spectra of Binomial APN Functions

Carl Bracken, Eimear Byrne, Nadya Markin +1

math.GM2007

An Infinite Family of Quadratic Quadrinomial APN Functions

Carl Bracken, Eimear Byrne, Nadya Markin +1

math.AG2011

On the Zeta Functions of an optimal tower of function fields over $\FF_4$

Alexey Zaytsev, Gary McGuire

math.NT2010

Some Congruences of Kloosterman Sums and their Minimal Polynomials

Faruk Gologlu, Gary McGuire, Richard Moloney