Utilisateur·rice

Patrick • SOLÉ
Directeur de Recherche (DR) • Affiliation : Centre National Recherche Scientifique (CNRS)
Site : Luminy • Bureau : 102 • Etage du bureau : 1 •

AGLR-ATI (équipe Arithmétique et Théorie de l’Information)

Groupe(s) scientifiques(s) de l'utilisateur :

Rechercher mots clef :
    Non-unital rings Rings Secondary 16 A10 Self-orthogonal codes Codes Cyclic codes Type IV codes

Thématiques scientifiques : Aucun·e

Publications HAL

2021/10 - Linear Programming Bounds on the Kissing Number of q-ary Codes

2021/07 - Bent Sequences over Hadamard Codes for Physically Unclonable Functions

2021/07 Graphs and Combinatorics - Designs in Finite Metric Spaces: A Probabilistic Approach

2021/03 IEEE Transactions on Information Theory - Geometric Approach to b-Symbol Hamming Weights of Cyclic Codes

2021/01 Applicable Algebra in Engineering, Communication and Computing - Quasi type IV codes over a non-unital ring

2021/01 Journal of Applied Mathematics and Computing - Self-dual and LCD double circulant and double negacirculant codes over $\mathbb{F}_q+u\mathbb{F}_q+v\mathbb{F}_q$

2021/01 Journal of Applied Mathematics and Computing - A family of constacyclic codes over a class of non-chain rings A q,r and new quantum codes

2021/01 Advances in Mathematics of Communications - ON ONE-LEE WEIGHT AND TWO-LEE WEIGHT Z 2 Z 4 [u]-ADDITIVE CODES AND THEIR CONSTRUCTIONS

2021/01 Designs, Codes and Cryptography - Quadratic Residue codes, rank three groups and PBIBDs

2021/01 Journal of Algebra and Its Applications - Type IV codes over a non-unital ring

2021/01 Journal of Algebra and Its Applications - The build-up construction of quasi self-dual codes over a non-unital ring

2021/01 Advances in Mathematics of Communications - FIVE-WEIGHT CODES FROM THREE-VALUED CORRELATION OF M-SEQUENCES

2021/01 Discrete Mathematics - The uncertainty principle over finite fields

2020/10 - THE BUILD-UP CONSTRUCTION OVER A COMMUTATIVE NON-UNITAL RING

2020/04 - Quasi Type IV codes over a non-unital ring

2020/01 - The build-up construction of quasi self-dual codes over a non-unital ring

2020/01 - Type IV codes over a non-unital ring

2020/01 Mathematics - On the Covering Radius of Codes over Z p k

2020/01 Proyecciones : Revista de Matemática - Type IV codes over a non-local non-unital ring

2020/01 MDPI Mathematics - Some Multisecret-Sharing Schemes over Finite Fields

2020/01 Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences - On linear complementary-dual multinegacirculant codes

2020/01 Mathematics - A New Secret Sharing Scheme Based on Polynomials over Finite Fields

2020/01 Discrete Mathematics - Linear codes over finite rings are trace codes

2020/01 Mathematics - Secret Sharing, Zero Sum Sets, and Hamming Codes

2020/01 Proyecciones : Revista de Matemática - Quasi Self-dual Codes over Non-Unital Rings of Order Six

2020/01 IEEE Transactions on Information Theory - How many weights can a cyclic code have ?

2020/01 IEEE Transactions on Information Theory - How many weights can a quasi-cyclic code have ?

2020/01 Designs, Codes and Cryptography - Two families of two-weight codes over Z 4

2020/01 Designs, Codes and Cryptography - Construction of isodual codes from polycirculant matrices

2020/01 Finite Fields and Their Applications - Polycyclic codes as invariant subspaces.

2020/01 Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences - On self-dual and LCD double circulant and double negacirculant codes over $\mathbb{F}_q + u\mathbb{F}_q

2020/01 Discrete Mathematics - Asymptotic performance of metacyclic codes

2020/01 Advances in Mathematics of Communications - Z 4 Z 4 [u]-ADDITIVE CYCLIC AND CONSTACYCLIC CODES

2019/11 IEEE Communications Letters - Asymptotic Normality of Q-ary Linear Codes

2019/07 Finite Fields and Their Applications - Double circulant LCD codes over Z 4

2018/03 IEEE Transactions on Information Theory - Lattice Codes for the Insertion and Deletion Channels

2016/10 IEEE Transactions on Information Theory - Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis

2016/07 - On the Entropy of Physically Unclonable Functions

2016/06 - A challenge code for maximizing the entropy of PUF responses

2016/01 IEEE Communications Letters - Optimal Two-Weight Codes From Trace Codes Over F2+uF2

2015/03 Notes on Number Theory and Diecrete Mathematics - IMPROVING RIEMANN PRIME COUNTING

2015/02 Designs, Codes and Cryptography - Lower bounds on the minimum distance of long codes in the Lee metric

2015/01 Journal of Integer Sequences - On Polynomial Pairs of Integers

2015/01 Notes on Number Theory and Discrete Mathematics - Improving Riemann prime counting

2015/01 - Irreducible cyclic Z_4—codes and allied sequences

2014/12 IEEE Transactions on Information Theory - Multiply Constant-Weight Codes and the Reliability of Loop Physically Unclonable Functions

2014/09 IEEE Transactions on Information Theory - Higher-order CIS codes

2014/01 IEEE Transactions on Information Theory - Hermitian Self-Dual Abelian Codes

2014/01 - Product construction of affine codes

2013/07 - Lattice Based Codes for Insertion and Deletion Channels

2013/03 Journal of Discrete Mathematics - Efficient prime counting and the Chebyshev primes

2013/03 Journal of Algebra, Number Theory: Advances and Applications - Chebyshev's bias and generalized Riemann hypothesis

2013/01 - On cyclic DNA codes

2013/01 IEEE Transactions on Information Theory - MDS Convolutional Codes Over a Finite Ring

2012/07 - On Formally Self-dual Boolean Functions in 2,4 and 6 Variables

2012/06 Theoretical and Mathematical Physics - Pauli graphs, Riemann hypothesis, Goldbach pairs

2012/01 Journal of Algebra, Number Theory: Advances and Applications - Chebyshev's bias and generalized Riemann hypothesis

2012/01 IEEE Transactions on Information Theory - Classification of Extremal and s-Extremal Binary Self-Dual Codes of Length 38

2011/10 Integers : Electronic Journal of Combinatorial Number Theory - Robin inequality for $7-$free integers

2011/08 IEEE Transactions on Information Theory - Additive Asymmetric Quantum Codes

2011/06 Journal of Combinatorics and Number Theory - Extreme values of the Dedekind $\Psi$ function

2011/06 - Lattice Codes for the Gaussian Wiretap Channel (invited paper)

2011/06 - Cyclic codes and self-dual codes over M2(F2) and M2(F2[i])

2011/06 - Constructive spherical codes near Shannon bound

2011/04 - Constructive Spherical Codes near the Shannon Bound

2011/03 Journal of Physics A: Mathematical and Theoretical - Riemann hypothesis and Quantum Mechanics

2011/01 Integers : Electronic Journal of Combinatorial Number Theory - The Robin Inequality for 7-Free Integers

2010/12 - On Nicolas criterion for the Riemann Hypothesis

2010/11 - Unimodular lattices for the Gaussian Wiretap Channel (invited paper)

2009/12 - The Rayleigh quotient of bent functions

2009/11 - Higher dimensional perfect space-time coded modulation

2009/11 - An extension of Massey scheme for secret sharing

2009/01 Journal of Physics A: Mathematical and Theoretical - Clifford groups of quantum gates, BN-pairs and smooth cubic surfaces

2008/05 - Pseudo-random sequences, boolean functions and cellular automata

2008/05 - Pseudo-random Sequences Generated by Cellular Automata

2008/01 - Nonadditive Quantum Codes from $\Z_4$-Codes

2002/11 - CTRU, a polynomial analogue of NTRU

2001/01 - Gauss sums over quasi-Frobenius rings

2001/01 - Gauss sums over quasi-Frobenius rings

2000/01 Finite Fields and Their Applications - Z4 duadic codes

1998/01 - Kernels and Defaults

1994/07 IEEE Transactions on Image Processing - Lattice Vector Quantization for Multiscale Image Coding


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