# zbMATH — the first resource for mathematics

## McGuire, Gary

Compute Distance To:
 Author ID: mcguire.gary Published as: McGuire, G.; McGuire, Gary; Mcguire, Gary
 Documents Indexed: 76 Publications since 1995, including 1 Book
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#### Co-Authors

 7 single-authored 10 Bracken, Carl 8 Göloğlu, Faruk 7 Ward, Harold N. 6 Byrne, Eimear 6 Markin, Nadya 5 Calderbank, Arthur Robert 5 Moloney, Richard 4 Hernando, Fernando 4 Leander, Gregor 4 Yılmaz, Emrah Sercan 3 Ahmadi, Omran 3 Granger, Robert A. 3 Langevin, Philippe 3 Zaytsev, Alexey 2 Blanco-Chacón, Iván 2 Broughton, Wayne J. 2 Drakakis, Konstantinos 2 Gow, Roderick 2 Lahtonen, Jyrki T. 2 Robinson, Oisín 2 Sheekey, John 2 Zumbrägel, Jens 1 Aubry, Yves 1 Azar, Nabeel B. 1 Boston, Nigel 1 Çeşmelioğlu, Ayça 1 Chapman, Robin J. 1 Civario, Gilles 1 Dillon, John F. 1 Dumas, Jean-Guillaume 1 Fordham, Stiofáin 1 Greferath, Marcus 1 Güneri, Cem 1 Heer, Henriette 1 Helleseth, Tor 1 Janwa, Heeralal 1 Kumar, P. Vijay 1 Lisoněk, Petr 1 Meidl, Wilfried 1 Monserrat, Francisco 1 Mulcahy, Colm 1 Mullen, Gary L. 1 Naehrig, Michael 1 Nebe, Gabriele 1 O’Connor, Laura Hitt 1 O’Sullivan, Michael E. 1 Panario, Daniel 1 Poonen, Bjorn 1 Requena, Verónica 1 Rodier, François 1 Rojas-León, Antonio 1 Rubinstein, Michael O. 1 Shelhamer, Mark 1 Shparlinski, Igor E. 1 Singh, Vijaykumar 1 Streng, Marco 1 Tonchev, Vladimir D. 1 Tugemann, Bastian 1 Voloch, José Felipe 1 Wilson, Richard Michael 1 Zălinescu, Eugen
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#### Serials

 9 Designs, Codes and Cryptography 9 Finite Fields and their Applications 7 IEEE Transactions on Information Theory 4 Journal of Combinatorial Theory. Series A 3 Journal of Number Theory 3 Linear Algebra and its Applications 2 Discrete Mathematics 2 Geometriae Dedicata 2 Journal of Algebra 2 Irish Mathematical Society Bulletin 2 Journal of Combinatorics and Number Theory 1 Discrete Applied Mathematics 1 Physics Letters. A 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Note di Matematica 1 Journal of Symbolic Computation 1 SIAM Journal on Discrete Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 LMS Journal of Computation and Mathematics 1 Journal of Algebra and its Applications 1 Contemporary Mathematics 1 Advances in Mathematics of Communications 1 Cryptography and Communications
all top 5

#### Fields

 43 Information and communication theory, circuits (94-XX) 42 Number theory (11-XX) 15 Combinatorics (05-XX) 14 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

68 Publications have been cited 465 times in 290 Documents Cited by Year
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2008
A few more quadratic APN functions. Zbl 1282.11162
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2011
Proof of a conjecture on the sequence of exceptional numbers, classifying cyclic codes and APN functions. Zbl 1244.94046
Hernando, Fernando; McGuire, Gary
2011
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
2004
Double-error-correcting cyclic codes and absolutely irreducible polynomials over $$\text{GF}(2)$$. Zbl 0853.94021
Janwa, Heeralal; McGuire, Gary; Wilson, Richard M.
1995
On the function field sieve and the impact of higher splitting probabilities. Application to discrete logarithms in $$\mathbb{F}_{2^{1971}}$$ and $$\mathbb{F}_{2^{3164}}$$. Zbl 1316.11114
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens
2013
A few more functions that are not APN infinitely often. Zbl 1206.94025
Aubry, Yves; McGuire, Gary; Rodier, François
2010
Construction of bent functions from near-bent functions. Zbl 1184.94240
Leander, Gregor; McGuire, Gary
2009
A construction of weakly and non-weakly regular bent functions. Zbl 1258.94034
Çeşmelioğlu, Ayça; McGuire, Gary; Meidl, Wilfried
2012
The weight distributions of cyclic codes with two zeros and zeta functions. Zbl 1191.94119
Boston, Nigel; McGuire, Gary
2010
Determining the nonlinearity of a new family of APN functions. Zbl 1195.94048
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2007
There is no 16-clue sudoku: solving the sudoku minimum number of clues problem via hitting set enumeration. Zbl 1296.05008
McGuire, Gary; Tugemann, Bastian; Civario, Gilles
2014
Subspaces of matrices with special rank properties. Zbl 1198.15015
Dumas, Jean-Guillaume; Gow, Rod; McGuire, Gary; Sheekey, John
2010
Binary Kloosterman sums using Stickelberger’s theorem and the Gross-Koblitz formula. Zbl 1242.11060
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2011
On a conjecture of Helleseth regarding pairs of binary $$m$$-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
1996
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. Zbl 1266.51013
Hernando, Fernando; McGuire, Gary
2012
Gold and Kasami-Welch functions, quadratic forms, and bent functions. Zbl 1221.11237
Lahtonen, Jyrki; McGuire, Gary; Ward, Harold N.
2007
Quasi-symmetric designs and codes meeting the Grey-Rankin bound. Zbl 0873.05011
McGuire, Gary
1997
Solving a 6120-bit DLP on a desktop computer. Zbl 1321.11125
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens
2014
Fourier spectra of binomial APN functions. Zbl 1208.11133
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2009
On the classification of exceptional planar functions over $$\mathbb F_p$$. Zbl 1343.11095
Hernando, Fernando; McGuire, Gary; Monserrat, Francisco
2014
APN permutations on $$\mathbb Z_n$$ and Costas arrays. Zbl 1227.05014
Drakakis, Konstantinos; Gow, Rod; McGuire, Gary
2009
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices. Zbl 1200.05033
Bracken, Carl; McGuire, Gary; Ward, Harold
2006
On certain 3-weight cyclic codes having symmetric weights and a conjecture of Helleseth. Zbl 1030.94043
McGuire, Gary
2002
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary $$m$$-sequences. Zbl 0830.94010
McGuire, Gary; Calderbank, A. R.
1995
Binary Kloosterman sums modulo 256 and coefficients of the characteristic polynomial. Zbl 1365.11126
Göloğlu, Faruk; Lisoněk, Petr; McGuire, Gary; Moloney, Richard
2012
On the equivalence of quadratic APN functions. Zbl 1250.11101
Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele
2011
Near bent functions on a hyperplane. Zbl 1159.11051
Dillon, J. F.; McGuire, Gary
2008
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients. Zbl 07067780
McGuire, Gary; Sheekey, John
2019
An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves. Zbl 1248.94118
McGuire, Gary
2012
On the nonlinearity of exponential Welch Costas functions. Zbl 1366.94486
Drakakis, Konstantinos; Requena, Verónica; McGuire, Gary
2010
Ternary Kloosterman sums modulo 18 using Stickelberger’s theorem. Zbl 1245.11119
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2010
Characterizing the Hermitian and Ree unitals on 28 points. Zbl 0891.05014
McGuire, Gary; Tonchev, Vladimir D.; Ward, Harold N.
1998
Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields. Zbl 1304.14025
McGuire, Gary; Singh, Vijaykumar; Zaytsev, Alexey
2014
Some congruences of Kloosterman sums and their characteristic polynomials. Zbl 1300.11083
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2013
On the Walsh spectrum of a new APN function. Zbl 1154.94379
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2007
On Plotkin-optimal codes over finite Frobenius rings. Zbl 1158.94418
Greferath, Marcus; McGuire, Gary; O’Sullivan, Michael E.
2006
On the non-existence of quasi-3 designs. Zbl 1012.05018
Broughton, Wayne; McGuire, Gary
2003
An approach to Hensel’s lemma. Zbl 1014.11078
McGuire, Gary
2001
Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. Zbl 1364.12008
Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan
2016
On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to $$x^{-1}+L(x)$$. Zbl 1318.11159
Göloğlu, Faruk; McGuire, Gary
2014
Two kinds of division polynomials for twisted Edwards curves. Zbl 1264.11046
Moloney, Richard; McGuire, Gary
2011
A CM construction for curves of genus 2 with $$p$$-rank 1. Zbl 1218.11060
O’Connor, Laura Hitt; McGuire, Gary; Naehrig, Michael; Streng, Marco
2011
Analysis of Kasami-Welch functions in odd dimension using Stickelberger’s theorem. Zbl 1245.11120
Langevin, Philippe; Leander, Gregor; McGuire, Gary; Zălinescu, Eugen
2010
Construction of a $$(64,2^{37},12)$$ code via Galois rings. Zbl 0868.94042
Calderbank, A. R.; McGuire, Gary
1997
Cyclic codes over $$\mathbb{Z}_ 4$$, locator polynomials, and Newton’s identities. Zbl 0858.94021
Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor
1996
Supersingular curves over finite fields and weight divisibility of codes. Zbl 1337.11083
Güneri, Cem; Mcguire, Gary
2014
The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2. Zbl 1256.14028
McGuire, Gary; Zaytsev, Alexey
2012
On the zeta functions of an optimal tower of function fields over $$\mathbb{F}_4$$. Zbl 1221.11225
McGuire, Gary; Zaytsev, Alexey
2010
Cocyclic Hadamard matrices from forms over finite Frobenius rings. Zbl 1168.15013
McGuire, Gary; Ward, Harold N.
2009
Duals of quasi-3 designs are not necessarily quasi-3. Zbl 1125.05014
Bracken, Carl; McGuire, Gary
2007
Some observations on quasi-3 designs and Hadamard matrices. Zbl 0965.05023
Broughton, Wayne; McGuire, Gary
1999
Recurrence matrices and the preservation of dynamical properties. Zbl 0969.37503
McGuire, Gary; Azar, Nabeel B.; Shelhamer, Mark
1997
On the zeta functions of supersingular curves. Zbl 1444.11133
McGuire, Gary; Yılmaz, Emrah Sercan
2018
Divisibility of L-polynomials for a family of curves. Zbl 1350.11065
Blanco-Chacón, I.; Chapman, R.; Fordham, S.; McGuire, G.
2016
Curves over finite fields and linear recurring sequences. Zbl 1395.11099
2015
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure. Zbl 1329.14054
Ahmadi, Omran; McGuire, Gary; Rojas-León, Antonio
2015
On the classification of perfect nonlinear (PN) and almost perfect nonlinear (APN) monomial functions. Zbl 1368.11130
Hernando, Fernando; McGuire, Gary
2013
Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Zbl 1193.11003
McGuire, Gary (ed.); Mullen, Gary L. (ed.); Panario, Daniel (ed.); Shparlinski, Igor E. (ed.)
2010
Kasami bent functions are not equivalent to their duals. Zbl 1173.94468
Langevin, Philippe; Leander, Gregor; McGuire, Gary
2008
Spectra of Boolean functions, subspaces of matrices, and going up versus going down. Zbl 1195.06010
McGuire, Gary
2007
Quasi-3 designs. Zbl 1110.05308
McGuire, Gary
2007
Characterization of SDP designs that yield certain spin models. Zbl 1066.05040
Bracken, Carl; McGuire, Gary
2005
Weights in codes and genus 2 curves. Zbl 1077.94029
McGuire, Gary; Voloch, José Felipe
2005
A determination of the weight enumerator of the code of the projective plane of order 5. Zbl 0992.94033
McGuire, Gary; Ward, Harold N.
1998
The weight enumerator of the code of the projective plane of order 5. Zbl 0926.94028
McGuire, Gary; Ward, Harold N.
1998
Characterization of certain minimal rank designs. Zbl 0913.05011
McGuire, Gary; Ward, Harold N.
1998
$$\mathbb{Z}_ 4$$-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028
Calderbank, A. R.; McGuire, Gary
1995
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients. Zbl 07067780
McGuire, Gary; Sheekey, John
2019
On the zeta functions of supersingular curves. Zbl 1444.11133
McGuire, Gary; Yılmaz, Emrah Sercan
2018
Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. Zbl 1364.12008
Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan
2016
Divisibility of L-polynomials for a family of curves. Zbl 1350.11065
Blanco-Chacón, I.; Chapman, R.; Fordham, S.; McGuire, G.
2016
Curves over finite fields and linear recurring sequences. Zbl 1395.11099
2015
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure. Zbl 1329.14054
Ahmadi, Omran; McGuire, Gary; Rojas-León, Antonio
2015
There is no 16-clue sudoku: solving the sudoku minimum number of clues problem via hitting set enumeration. Zbl 1296.05008
McGuire, Gary; Tugemann, Bastian; Civario, Gilles
2014
Solving a 6120-bit DLP on a desktop computer. Zbl 1321.11125
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens
2014
On the classification of exceptional planar functions over $$\mathbb F_p$$. Zbl 1343.11095
Hernando, Fernando; McGuire, Gary; Monserrat, Francisco
2014
Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields. Zbl 1304.14025
McGuire, Gary; Singh, Vijaykumar; Zaytsev, Alexey
2014
On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to $$x^{-1}+L(x)$$. Zbl 1318.11159
Göloğlu, Faruk; McGuire, Gary
2014
Supersingular curves over finite fields and weight divisibility of codes. Zbl 1337.11083
Güneri, Cem; Mcguire, Gary
2014
On the function field sieve and the impact of higher splitting probabilities. Application to discrete logarithms in $$\mathbb{F}_{2^{1971}}$$ and $$\mathbb{F}_{2^{3164}}$$. Zbl 1316.11114
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens
2013
Some congruences of Kloosterman sums and their characteristic polynomials. Zbl 1300.11083
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2013
On the classification of perfect nonlinear (PN) and almost perfect nonlinear (APN) monomial functions. Zbl 1368.11130
Hernando, Fernando; McGuire, Gary
2013
A construction of weakly and non-weakly regular bent functions. Zbl 1258.94034
Çeşmelioğlu, Ayça; McGuire, Gary; Meidl, Wilfried
2012
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. Zbl 1266.51013
Hernando, Fernando; McGuire, Gary
2012
Binary Kloosterman sums modulo 256 and coefficients of the characteristic polynomial. Zbl 1365.11126
Göloğlu, Faruk; Lisoněk, Petr; McGuire, Gary; Moloney, Richard
2012
An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves. Zbl 1248.94118
McGuire, Gary
2012
The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2. Zbl 1256.14028
McGuire, Gary; Zaytsev, Alexey
2012
A few more quadratic APN functions. Zbl 1282.11162
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2011
Proof of a conjecture on the sequence of exceptional numbers, classifying cyclic codes and APN functions. Zbl 1244.94046
Hernando, Fernando; McGuire, Gary
2011
Binary Kloosterman sums using Stickelberger’s theorem and the Gross-Koblitz formula. Zbl 1242.11060
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2011
On the equivalence of quadratic APN functions. Zbl 1250.11101
Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele
2011
Two kinds of division polynomials for twisted Edwards curves. Zbl 1264.11046
Moloney, Richard; McGuire, Gary
2011
A CM construction for curves of genus 2 with $$p$$-rank 1. Zbl 1218.11060
O’Connor, Laura Hitt; McGuire, Gary; Naehrig, Michael; Streng, Marco
2011
A few more functions that are not APN infinitely often. Zbl 1206.94025
Aubry, Yves; McGuire, Gary; Rodier, François
2010
The weight distributions of cyclic codes with two zeros and zeta functions. Zbl 1191.94119
Boston, Nigel; McGuire, Gary
2010
Subspaces of matrices with special rank properties. Zbl 1198.15015
Dumas, Jean-Guillaume; Gow, Rod; McGuire, Gary; Sheekey, John
2010
On the nonlinearity of exponential Welch Costas functions. Zbl 1366.94486
Drakakis, Konstantinos; Requena, Verónica; McGuire, Gary
2010
Ternary Kloosterman sums modulo 18 using Stickelberger’s theorem. Zbl 1245.11119
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard
2010
Analysis of Kasami-Welch functions in odd dimension using Stickelberger’s theorem. Zbl 1245.11120
Langevin, Philippe; Leander, Gregor; McGuire, Gary; Zălinescu, Eugen
2010
On the zeta functions of an optimal tower of function fields over $$\mathbb{F}_4$$. Zbl 1221.11225
McGuire, Gary; Zaytsev, Alexey
2010
Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Zbl 1193.11003
McGuire, Gary (ed.); Mullen, Gary L. (ed.); Panario, Daniel (ed.); Shparlinski, Igor E. (ed.)
2010
Construction of bent functions from near-bent functions. Zbl 1184.94240
Leander, Gregor; McGuire, Gary
2009
Fourier spectra of binomial APN functions. Zbl 1208.11133
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2009
APN permutations on $$\mathbb Z_n$$ and Costas arrays. Zbl 1227.05014
Drakakis, Konstantinos; Gow, Rod; McGuire, Gary
2009
Cocyclic Hadamard matrices from forms over finite Frobenius rings. Zbl 1168.15013
McGuire, Gary; Ward, Harold N.
2009
New families of quadratic almost perfect nonlinear trinomials and multinomials. Zbl 1153.11058
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2008
Near bent functions on a hyperplane. Zbl 1159.11051
Dillon, J. F.; McGuire, Gary
2008
Kasami bent functions are not equivalent to their duals. Zbl 1173.94468
Langevin, Philippe; Leander, Gregor; McGuire, Gary
2008
Determining the nonlinearity of a new family of APN functions. Zbl 1195.94048
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2007
Gold and Kasami-Welch functions, quadratic forms, and bent functions. Zbl 1221.11237
Lahtonen, Jyrki; McGuire, Gary; Ward, Harold N.
2007
On the Walsh spectrum of a new APN function. Zbl 1154.94379
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2007
Duals of quasi-3 designs are not necessarily quasi-3. Zbl 1125.05014
Bracken, Carl; McGuire, Gary
2007
Spectra of Boolean functions, subspaces of matrices, and going up versus going down. Zbl 1195.06010
McGuire, Gary
2007
Quasi-3 designs. Zbl 1110.05308
McGuire, Gary
2007
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices. Zbl 1200.05033
Bracken, Carl; McGuire, Gary; Ward, Harold
2006
On Plotkin-optimal codes over finite Frobenius rings. Zbl 1158.94418
Greferath, Marcus; McGuire, Gary; O’Sullivan, Michael E.
2006
Characterization of SDP designs that yield certain spin models. Zbl 1066.05040
Bracken, Carl; McGuire, Gary
2005
Weights in codes and genus 2 curves. Zbl 1077.94029
McGuire, Gary; Voloch, José Felipe
2005
On three weights in cyclic codes with two zeros. Zbl 1119.94016
McGuire, Gary
2004
On the non-existence of quasi-3 designs. Zbl 1012.05018
Broughton, Wayne; McGuire, Gary
2003
On certain 3-weight cyclic codes having symmetric weights and a conjecture of Helleseth. Zbl 1030.94043
McGuire, Gary
2002
An approach to Hensel’s lemma. Zbl 1014.11078
McGuire, Gary
2001
Some observations on quasi-3 designs and Hadamard matrices. Zbl 0965.05023
Broughton, Wayne; McGuire, Gary
1999
Characterizing the Hermitian and Ree unitals on 28 points. Zbl 0891.05014
McGuire, Gary; Tonchev, Vladimir D.; Ward, Harold N.
1998
A determination of the weight enumerator of the code of the projective plane of order 5. Zbl 0992.94033
McGuire, Gary; Ward, Harold N.
1998
The weight enumerator of the code of the projective plane of order 5. Zbl 0926.94028
McGuire, Gary; Ward, Harold N.
1998
Characterization of certain minimal rank designs. Zbl 0913.05011
McGuire, Gary; Ward, Harold N.
1998
Quasi-symmetric designs and codes meeting the Grey-Rankin bound. Zbl 0873.05011
McGuire, Gary
1997
Construction of a $$(64,2^{37},12)$$ code via Galois rings. Zbl 0868.94042
Calderbank, A. R.; McGuire, Gary
1997
Recurrence matrices and the preservation of dynamical properties. Zbl 0969.37503
McGuire, Gary; Azar, Nabeel B.; Shelhamer, Mark
1997
On a conjecture of Helleseth regarding pairs of binary $$m$$-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
1996
Cyclic codes over $$\mathbb{Z}_ 4$$, locator polynomials, and Newton’s identities. Zbl 0858.94021
Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor
1996
Double-error-correcting cyclic codes and absolutely irreducible polynomials over $$\text{GF}(2)$$. Zbl 0853.94021
Janwa, Heeralal; McGuire, Gary; Wilson, Richard M.
1995
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary $$m$$-sequences. Zbl 0830.94010
McGuire, Gary; Calderbank, A. R.
1995
$$\mathbb{Z}_ 4$$-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028
Calderbank, A. R.; McGuire, Gary
1995
all top 5

#### Cited by 361 Authors

 25 McGuire, Gary 14 Meidl, Wilfried 12 Bracken, Carl 8 Budaghyan, Lilya 8 Hu, Lei 7 Carlet, Claude 7 Pott, Alexander 7 Zha, Zhengbang 6 Katz, Daniel J. 6 Tan, Chik How 6 Yue, Qin 6 Zeng, Xiangyong 6 Zhou, Yue 5 Bartoli, Daniele 5 Byrne, Eimear 5 Çeşmelioğlu, Ayça 5 Göloğlu, Faruk 5 Granger, Robert A. 5 Helleseth, Tor 5 Langevin, Philippe 5 Leander, Gregor 5 Peng, Jie 5 Polverino, Olga 5 Schmidt, Kai-Uwe 5 Sheekey, John 5 Zheng, Dabin 4 Anbar, Nurdagül 4 Cao, Xiwang 4 Csajbók, Bence 4 Li, Chao 4 Li, Chengju 4 Marino, Giuseppe 4 Tan, Yin 4 Tonchev, Vladimir D. 4 Wang, Xiaoqiang 4 Yılmaz, Emrah Sercan 4 Yoshiara, Satoshi 3 Adj, Gora 3 Ahmadi, Omran 3 Caullery, Florian 3 Charpin, Pascale 3 Delgado Olortegui, Moises R. 3 Férard, Éric 3 Gorla, Elisa 3 Gow, Roderick 3 Hernando, Fernando 3 Hou, Xiang-Dong 3 Kyureghyan, Gohar M. 3 Li, Chunlei 3 Li, Fengwei 3 Li, Nian 3 Qu, Longjiang 3 Ravagnani, Alberto 3 Rodríguez-Henríquez, Francisco 3 Suder, Valentin 3 Topuzoǧlu, Alev 3 Wang, Mingsheng 3 Wang, Xueli 3 Ward, Harold N. 3 Wolfmann, Jacques 3 Zhuang, Jincheng 3 Zinov’ev, Viktor Aleksandrovich 3 Zullo, Ferdinando 2 Aubry, Yves 2 Bassalygo, Leonid A. 2 Beelen, Pieter Hendrik Turdus 2 Canales-Martínez, Isaac 2 Castro, Francis Noel 2 Cheng, Qi 2 Chou, Wunseng 2 Coşgun, Ayhan 2 Dempwolff, Ulrich 2 Dodunekov, Stefan Manev 2 Drakakis, Konstantinos 2 Gangopadhyay, Sugata 2 Gezek, Mustafa 2 Güneri, Cem 2 Hollmann, Henk D. L. 2 Hyun, Jong-Yoon 2 Janwa, Heeralal 2 Kleinjung, Thorsten 2 Lee, Heisook 2 Lee, Yoonjin 2 Li, Yongqiang 2 Lin, Dongdai 2 Liu, Fengmei 2 Liu, Hongwei 2 Massierer, Maike 2 Medina, Luis A. 2 Menezes, Alfred J. 2 Mesnager, Sihem 2 Nebe, Gabriele 2 Oliveira, Thomaz 2 Özbudak, Ferruh 2 Rivera-Zamarripa, Luis 2 Rodier, François 2 Rojas-León, Antonio 2 Solé, Patrick 2 Stănică, Pantelimon 2 Storme, Leo ...and 261 more Authors
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#### Cited in 68 Serials

 57 Designs, Codes and Cryptography 51 Finite Fields and their Applications 22 Cryptography and Communications 12 Discrete Mathematics 10 Advances in Mathematics of Communications 9 Journal of Combinatorial Theory. Series A 8 Journal of Number Theory 8 Linear Algebra and its Applications 8 Applicable Algebra in Engineering, Communication and Computing 7 Discrete Applied Mathematics 7 Journal of Algebra 7 Journal of Algebraic Combinatorics 6 Science China. Mathematics 4 International Journal of Foundations of Computer Science 3 Mathematics of Computation 3 SIAM Journal on Discrete Mathematics 2 Bulletin of the Australian Mathematical Society 2 Problems of Information Transmission 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Journal of Pure and Applied Algebra 2 European Journal of Combinatorics 2 Journal of Symbolic Computation 2 International Journal of Computer Mathematics 2 LMS Journal of Computation and Mathematics 2 Journal of Applied Mathematics 2 Journal of Algebra and its Applications 1 Periodica Mathematica Hungarica 1 Mathematics Magazine 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Econometrics 1 Journal of Geometry 1 Journal of Statistical Planning and Inference 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Physica D 1 Graphs and Combinatorics 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 The Electronic Journal of Combinatorics 1 Journal of Combinatorial Designs 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Advances in Geometry 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 AKCE International Journal of Graphs and Combinatorics 1 Mathematics in Computer Science 1 Ars Mathematica Contemporanea 1 Discrete Mathematics, Algorithms and Applications 1 Groups, Complexity, Cryptology 1 Science China. Information Sciences 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Central European Journal of Computer Science 1 Afrika Matematika 1 Quanta 1 International Journal of Engineering Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 22 Fields

 171 Number theory (11-XX) 167 Information and communication theory, circuits (94-XX) 62 Combinatorics (05-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 35 Algebraic geometry (14-XX) 32 Field theory and polynomials (12-XX) 29 Geometry (51-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 7 Computer science (68-XX) 6 Commutative algebra (13-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)