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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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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
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On the Entropy of Physically Unclonable Functions

Olivier Rioul , Patrick Solé , Sylvain Guilley , Jean-Luc Danger
2016 IEEE International Symposium on Information Theory (ISIT'16), Jul 2016, Barcelona, Spain. ⟨10.1109/ISIT.2016.7541835⟩
Communication dans un congrès hal-02288459v1
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A family of constacyclic codes over a class of non-chain rings A q,r and new quantum codes

Habibul Islam , Shikha Patel , Om Prakash , Patrick Solé
Journal of Applied Mathematics and Computing, 2021
Article dans une revue hal-03324685v1

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

H. Sboui , A. Bouallegue , Patrick Solé
MMS, Jun 2011, Paris, France
Communication dans un congrès hal-02411862v1

On Polynomial Pairs of Integers

Frederic Ezerman , Bertrand Meyer , Patrick Solé
Journal of Integer Sequences, 2015, 18
Article dans une revue hal-02287893v1
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A New Secret Sharing Scheme Based on Polynomials over Finite Fields

Selda Çalkavur , Patrick Solé , Alexis Bonnecaze
Mathematics , 2020, ⟨10.3390/math8081200⟩
Article dans une revue hal-02903553v1
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Asymptotic Normality of Q-ary Linear Codes

Minjia Shi , Olivier Rioul , Patrick Solé
IEEE Communications Letters, 2019, 23 (11), pp.1895-1898
Article dans une revue hal-02300794v1

A New Class of Codes for Boolean Masking of Cryptographic Computations

Claude Carlet , Philippe Gaborit , Jon-Lark Kim , Patrick Sole
IEEE Transactions on Information Theory, 2012, 58 (9), pp.6000-6011. ⟨10.1109/TIT.2012.2200651⟩
Article dans une revue hal-00913659v1

Double circulant LCD codes over Z 4

Minjia Shi , Daitao Huang , Lin Sok , Patrick Solé
Finite Fields and Their Applications, 2019, 58, pp.133-144. ⟨10.1016/j.ffa.2019.04.001⟩
Article dans une revue hal-02178304v1
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Constructive Spherical Codes near the Shannon Bound

Patrick Solé , Jean-Claude Belfiore
WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.453-462
Communication dans un congrès inria-00614479v1
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DNA code from cyclic and skew cyclic codes over F 4 [v]/⟨v 3 ⟩

Om Prakash , Ashutosh Singh , Ram Krishna Verma , Patrick Solé , Wei Cheng
Entropy, 2023
Article dans une revue hal-03946495v1
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Z 4 Z 4 [u]-ADDITIVE CYCLIC AND CONSTACYCLIC CODES

Habibul Islam , Om Prakash , Patrick Solé
Advances in Mathematics of Communications, 2020, ⟨10.3934/amc.xx.xx.xx⟩
Article dans une revue hal-02641416v1