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113 résultats

Higher dimensional perfect space-time coded modulation

Frédérique Oggier , Patrick Solé
IEEE Information Theory Workshop (ITW), Nov 2009, Volos, Greece
Communication dans un congrès hal-02411860v1

Lattice Codes for the Gaussian Wiretap Channel (invited paper)

Jean-Claude Belfiore , Frédérique Oggier , Patrick Solé
International Workshop on Coding and Cryptography (IWCC), Jun 2011, Qingdao, China
Communication dans un congrès hal-02286235v1

Irreducible cyclic Z_4—codes and allied sequences

Adel Alahmadi , Tor Helleseth , Najat Muthana , Atiqah Almuzaini , Patrick Solé
Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA), 2015, Bangalore, India
Communication dans un congrès hal-02412353v1

Product construction of affine codes

Yeow Meng Chee , Han Mao Kiah , Punarbasu Purkayastha , Patrick Solé
IEEE International Symposium on Information Theory (ISIT), 2014, Waikiki, United States
Communication dans un congrès hal-02412354v1

Double Circulant Self-Dual and LCD Codes Over Z p 2

Daitao Huang , Minjia Shi , Patrick Sole
International Journal of Foundations of Computer Science, 2019, 30, pp.407 - 416. ⟨10.1142/S0129054119500114⟩
Article dans une revue hal-02411608v1
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Double circulant self-dual and LCD codes over Galois rings.

Minjia Shi , Daitao Huang , Lin Sok , Patrick Sole
Advances in Mathematics of Communications, 2019
Article dans une revue hal-02411618v1
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Polycyclic codes as invariant subspaces.

Minjia Shi , Xiaoxiao Li , Zahra Sepasdar , Patrick Solé
Finite Fields and Their Applications, 2020, ⟨10.1016/j.ffa.2020.101760⟩
Article dans une revue hal-02945186v1
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Pseudo-random Sequences Generated by Cellular Automata

Bruno Martin , Patrick Solé
International Conference on Relations, Orders and Graphs: Interactions with Computer Science, May 2008, Mahdia, Tunisia. pp.401-410
Communication dans un congrès hal-00305407v1

Gauss sums over quasi-Frobenius rings

Philippe Langevin , Patrick Solé
Fq5, 2001, Unknown, Unknown Region. pp.329--341
Communication dans un congrès hal-01279304v1
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Chebyshev's bias and generalized Riemann hypothesis

Adel Alamadhi , Michel Planat , Patrick Solé
Journal of Algebra, Number Theory: Advances and Applications, 2012, 8 (1 - 2), pp.41 - 55
Article dans une revue hal-02300345v1
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Nonadditive Quantum Codes from $\Z_4$-Codes

San Ling , Patrick Solé
2008
Pré-publication, Document de travail hal-00338309v1
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Additive complementary dual codes over F 4 *

Minjia Shi , Na Liu , Jon-Lark Kim , Patrick Solé
Designs, Codes and Cryptography, 2022
Article dans une revue hal-03774327v1
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A Multisecret-Sharing Scheme Based on LCD Codes

Adel Alahmadi , Alaa Altassan , Ahmad Alkenani , Selda Çalkavur , Hatoon Shoaib , et al.
Mathematics , 2020, ⟨10.3390/math8020272⟩
Article dans une revue hal-02485030v1
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Asymptotic performance of metacyclic codes

Martino Borello , Pieter Moree , Patrick Solé
Discrete Mathematics, 2020, 343 (7), pp.111885
Article dans une revue hal-02523289v1
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Quasi Self-dual Codes over Non-Unital Rings of Order Six

Adel Alahmadi , Amani Alkathiry , Alaa Altassan , Widyan Basaffar , Alexis Bonnecaze , et al.
Proyecciones : Revista de Matemática, 2020
Article dans une revue hal-02871249v1
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Self-dual Hadamard bent sequences *

Minjia Shi , Yaya Li , Wei Cheng , Denis Krotov , Patrick Solé
Journal of Systems Science and Complexity, 2023
Article dans une revue hal-03774339v1
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Extreme values of the Dedekind $\Psi$ function

Patrick Solé , Michel R. P. Planat
Journal of Combinatorics and Number Theory, 2011, 3 (1), pp.33-38
Article dans une revue hal-00533801v2
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Lower Bound on the Minimum Distance of Single-Generator Quasi-Twisted Codes

Adel Alahmadi , Patrick Solé , Ramy Taki Eldin
Mathematics , 2023, 11 (11), pp.2539. ⟨10.3390/math11112539⟩
Article dans une revue hal-04113136v1
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The extended binary quadratic residue code of length 42 holds a 3−design

Alexis Bonnecaze , Patrick Solé
Journal of Combinatorial Designs, 2021
Article dans une revue hal-03217485v1
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Type IV codes over a non-local non-unital ring

Adel Alahmadi , Amani Alkathiry , Alaa Altassan , Widyan Basaffar , Alexis Bonnecaze , et al.
Proyecciones : Revista de Matemática, In press
Article dans une revue hal-02871256v1
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THE BUILD-UP CONSTRUCTION OVER A COMMUTATIVE NON-UNITAL RING

Adel Alahmadi , Amani Alkathiry , Alaa Altassan , Alexis Bonnecaze , Hatoon Shoaib , et al.
2020
Pré-publication, Document de travail hal-02977595v1
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Two families of two-weight codes over Z 4

Minjia Shi , Wang Xuan , Patrick Solé
Designs, Codes and Cryptography, 2020, ⟨10.1007/s10623-020-00796-x⟩
Article dans une revue hal-02943701v1

Eisenstein lattices, Galois rings and quaternary codes

Philippe Gaborit , Anne-Marie Natividad , Patrick Sole
International Journal of Number Theory, 2006, 2, pp.289-303
Article dans une revue hal-00110514v1
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The build-up construction of quasi self-dual codes over a non-unital ring

Adel Alahmadi , Alaa Altassan , Hatoon Shoaib , Amani Alkathiry , Alexis Bonnecaze , et al.
Journal of Algebra and Its Applications, 2021, ⟨10.1142/S0219498822501432⟩
Article dans une revue hal-03189828v2
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Self-dual and LCD double circulant codes over a class of non-local rings

Om Prakash , Shikha Yadav , Habibul Islam , Patrick Solé
Computational & Applied Mathematics, 2022
Article dans une revue hal-03697624v1
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Pseudo-random sequences, boolean functions and cellular automata

Patrick Lacharme , Bruno Martin , Patrick Solé
Boolean Functions: Cryptography & Applications, May 2008, Copenhague, Denmark. pp.80-95
Communication dans un congrès hal-00305493v1

How many weights can a cyclic code have ?

Minjia Shi , Xiaoxiao Li , Alessandro Neri , Patrick Solé
IEEE Transactions on Information Theory, 2020
Article dans une revue hal-02492215v1
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The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring

Adel Alahmadi , Altaf Alshuhail , Rowena Alma Betty , Lucky Galvez , Patrick Solé
Mathematics , 2024, 12, pp.862. ⟨10.3390/math12060862⟩
Article dans une revue hal-04505889v1

Improving Riemann prime counting

Michel Planat , Patrick Solé
Notes on Number Theory and Discrete Mathematics, 2015, 21 (3), pp.38 - 44
Article dans une revue hal-02868351v1

Multiply Constant-Weight Codes and the Reliability of Loop Physically Unclonable Functions

Yeow Meng Chee , Zouha Cherif , Jean-Luc Danger , Sylvain Guilley , Han Mao Kiah , et al.
IEEE Transactions on Information Theory, 2014, ⟨10.1109/TIT.2014.2359207⟩
Article dans une revue hal-02286947v1