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Philippe Langevin

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Publications

Covering radius of $ RM(4,8) $

Valérie Gillot , Philippe Langevin
Advances in Mathematics of Communications, 2024, 18 (2), pp.383-393. ⟨10.3934/amc.2023038⟩
Journal articles hal-04478980v1

Almost perfect nonlinear families which are not equivalent to permutations

Faruk Göloğlu , Philippe Langevin
Finite Fields and Their Applications, 2020, 67, pp.101707. ⟨10.1016/j.ffa.2020.101707⟩
Journal articles hal-02953010v1

Obituary of Jacques Wolfmann (1932–2018)

Pascale Charpin , Philippe Langevin
Designs, Codes and Cryptography, 2019, 87 (5), pp.955-956. ⟨10.1007/s10623-019-00631-y⟩
Journal articles hal-02168222v1

The extension theorem for the Lee and Euclidean weights over Z / p k Z

Philippe Langevin , Jay Wood
Journal of Pure and Applied Algebra, 2019, 223 (3), pp.922-930. ⟨10.1016/j.jpaa.2018.05.006⟩
Journal articles hal-02168218v1

The p-adic valuations of Weil sums of binomials.

Philippe Langevin , Daniel Katz , Sangman Lee , Yakov Sapozhnikov
Journal of Number Theory, 2017
Journal articles hal-01812743v1

The extension problem for Lee and Euclidean weights

Philippe Langevin , Jay Wood
Journal of Algebra Combinatorics Discrete Structures and Applications, 2017, 4 (2), pp.207 - 207. ⟨10.13069/jacodesmath.284970⟩
Journal articles hal-01812750v1

New open problems related to old conjectures by Helleseth

Daniel J. Katz , Philippe Langevin
Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2016, 8 (2), pp.175 - 189. ⟨10.1007/s12095-015-0137-6⟩
Journal articles hal-01812753v1

Two analogues of Maillet's determinant

Philippe Langevin , Jay Wood , Serhii Dyshko
Comptes Rendus. Mathématique, 2016, 354 (7), pp.649 - 652. ⟨10.1016/j.crma.2016.05.004⟩
Journal articles hal-01812748v1

Proof of a conjectured three-valued family of Weil sums of binomials

Daniel Katz , Philippe Langevin
Acta Arithmetica, 2015, 169 (2), pp.181 - 199. ⟨10.4064/aa169-2-5⟩
Journal articles hal-01812754v1

Cyclotomy of Weil Sums of Binomials

Yves Aubry , Daniel J. Katz , Philippe Langevin
Journal of Number Theory, 2015, 154, pp.160--178. ⟨10.1016/j.jnt.2015.02.011⟩
Journal articles hal-00978918v1

Cyclotomie des sommes de Weil binomiales

Yves Aubry , Daniel Katz , Philippe Langevin
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2014, 352 (5), pp.373-376. ⟨10.1016/j.crma.2014.03.001⟩
Journal articles hal-00993189v1
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On a conjecture of Helleseth

Yves Aubry , Philippe Langevin
Lecture Notes in Computer Science, 2013, 8080, pp.113--118. ⟨10.1007/978-3-642-40663-8_12⟩
Journal articles hal-00769143v1

Counting Partial Spread Functions in Eight Variables

Philippe Langevin , Xiang-Dong Hou
IEEE Transactions on Information Theory, 2011, 57 (4), pp.2263--2269
Journal articles hal-01279289v1

Counting all bent functions in dimension eight 99270589265934370305785861242880

Philippe Langevin , Gregor Leander
Designs, Codes and Cryptography, 2011, 59 (1-3), pp.193--205
Journal articles hal-01279291v1

Analysis of Kasami-Welch Functions in Odd Dimension using Stickelberger's Theorem

Philippe Langevin , Gregor Leander , Gary Mcguire , Eugen Zalinescu
Journal of Combinatorics and Number Theory, 2011, 2 (1), pp.55 -- 72
Journal articles hal-01279290v1
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ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE

Valérie Gillot , Philippe Langevin
Glasgow Mathematical Journal, 2010, 52, pp.315--324. ⟨10.1017/S0017089510000017⟩
Journal articles hal-00993148v1
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On the semiprimitivity of cyclic codes

Yves Aubry , Philippe Langevin
On Number Theory and its Applications, 2008, 5, pp.284--293. ⟨10.1142/6761⟩
Journal articles hal-00978910v1

Monomial bent functions and Stickelberger's theorem

Philippe Langevin , Gregor Leander
Finite Fields Appl., 2008, 14 (3), pp.727--742
Journal articles hal-01279295v1

A counterexample to a conjecture of Niho

Philippe Langevin , Gregor Leander , Gary Mcguire
IEEE Transactions on Information Theory, 2007, 53 (12), pp.4785--4786
Journal articles hal-01279299v1
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On the weights of binary irreducible cyclic codes

Yves Aubry , Philippe Langevin
Lecture Notes in Computer Science, 2006, 3969, pp.46--54. ⟨10.1007/11779360_5⟩
Journal articles hal-00978908v1

Finite groups and highly non-linear Boolean functions

Philippe Langevin , J.-P. Zanotti
Designs, Codes and Cryptography, 2005, 46 (2), pp.131--146
Journal articles hal-01279300v1
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On the Non-linearity of Power Functions

Philippe Langevin , Pascal Véron
Designs, Codes and Cryptography, 2005, 37, pp.31-43. ⟨10.1007/s10623-004-3803-9⟩
Journal articles hal-00674664v1

Z4 duadic codes

Philippe Langevin , Patrick Solé
Finite Fields and Their Applications, 2000, 6, pp.309--326
Journal articles hal-01279305v1

Weight of Abelian codes

Philippe Langevin
Designs, Codes and Cryptography, 1998, 14 (3), pp.239--247
Journal articles hal-01279309v1

Calcul de certaines sommes de Gauss

Philippe Langevin
Journal of Number Theory, 1997, 62, pp.59--64
Journal articles hal-01279312v1

Results on bent functions

Xiang-Dong Hou , Philippe Langevin
Journal of Combinatorial Theory, Series A, 1997, 80 (2), pp.232--246
Journal articles hal-01279311v1

Regular section groups

Philippe Langevin
Finite Fields and Their Applications, 1995, 1 (4), pp.405--412
Journal articles hal-01279316v1

Linear codes with balanced weight distribution

Philippe Langevin , J.-P. Zanotti
Applicable Algebra in Engineering, Communication and Computing, 1995, 6 (4-5), pp.299--307
Journal articles hal-01279315v1

Almost perfect sequences

Philippe Langevin
Applicable Algebra in Engineering, Communication and Computing, 1993, 4, pp.95--102
Journal articles hal-01279319v1
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CLASSIFICATION OF BOOLEAN FUNCTIONS

Valérie Gillot , Philippe Langevin
Boolean Function and their Applications, Sep 2022, Balestrand, Norway
Conference papers hal-03740160v1
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Proof of a conjectured three-valued family of Weil sums of binomials

Daniel J. Katz , Philippe Langevin
The 9th International Workshop on Coding and Cryptography 2015 WCC2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France
Conference papers hal-01276424v1

On a Conjecture of Helleseth

Yves Aubry , Philippe Langevin
CAI, 2013, Porquerolles, France
Conference papers hal-00993192v1

Power Permutation in Dimension 32

Emrah Cakcak , Philippe Langevin
Sequences and Theirs Applications - SETA 2010, 2010, Unknown, Unknown Region. pp.181 - 188
Conference papers hal-01279293v1

On the semiprimitivity of irreducible cyclic codes

Yves Aubry , Philippe Langevin
Symposium on Algebraic Geometry and its Applications, 2008, Tahiti, Unknown Region. pp.284--293
Conference papers hal-01279296v1

Classification of Boolean Quartic Forms in eight variables

Philippe Langevin , Gregor Leander
Boolean Functions in Cryptology and Information Security, 2008, Unknown, Unknown Region. pp.139--147
Conference papers hal-01279297v1

On Exponents with highly divisible Fourier Coefficients and Conjectures of Niho and Dobbertin

Philippe Langevin , Gregor Leander
Algebraic Geometry and its applications, 2008, Unknown, Unknown Region. pp.410--418
Conference papers hal-01279294v1

On the weight of binary irreducible cyclic codes

Yves Aubry , Philippe Langevin
Workshop on Coding and Cryptography WCC'05, 2006, Unknown, Norway. pp.46--54
Conference papers hal-01279323v1

On the number of bent functions with 8 variables

Philippe Langevin , Patrice Rabizzoni , Pascal Véron , J.-P. Zanotti
BFCA'06, 2006, Rouen, France
Conference papers hal-00680341v1
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Exponential Sums and Boolean Functions

Julien Bringer , Valérie Gillot , Philippe Langevin
Proceedings of BFCA'05 Conference, March 7--8, 2005 Rouen, France, Mar 2005, Rouen, France. pp.177--186
Conference papers hal-00993895v1

On the weight of binary irreducible cyclic codes

Yves Aubry , Philippe Langevin
Book of Abstracts of the Workshop on Coding and Cryptography WCC'05, 2005, Bergen, Norway. pp.161--169
Conference papers hal-01279324v1

The classification of boolean cubics of nine variables.

Eric Brier , Philippe Langevin
2003 IEEE Information Theory Workshop, 2003, La Sorbonne, Paris, France
Conference papers hal-01279301v1

Around the counter example of Paterson and Wiedemann

Philippe Langevin , J.-P. Zanotti
Fq6, 2002, Unknown, Unknown Region. pp.214--229
Conference papers hal-01279302v1

Gauss sums over quasi-Frobenius rings

Philippe Langevin , Patrick Solé
Fq5, 2001, Unknown, Unknown Region. pp.329--341
Conference papers hal-01279304v1

Kernels and Defaults

Philippe Langevin , Patrick Solé
Finite Fields : Theory, Applications and Algorithms, 1998, Unknown, Unknown Region. pp.77--87
Conference papers hal-01279306v1

A new class of two weight codes

Philippe Langevin
Finite Fields and Applications, 1996, Unknown, Unknown Region. pp.181--187
Conference papers hal-01279314v1

Some sequences with good autocorrelation properties

Philippe Langevin
Finite Fields, 1994, Las Vegas, United States. pp.175--185
Conference papers hal-01279317v1

Construction of almost perfect sequences

Philippe Langevin
Complexité, Codage, Compression Cryptographie, 1993, Unknown, Unknown Region. pp.175--185
Conference papers hal-01279318v1

On generalized bent functions

Philippe Langevin
Eurocode 92, 1992, Unknown, Unknown Region. pp.147--157
Conference papers hal-01279320v1

On the orphans and covering radius of the Reed-Muller codes

Philippe Langevin
AAECC 9, 1991, Unknown, Unknown Region. pp.234--240
Conference papers hal-01279321v1

The covering radius of R(1,9) in R(3,9)

Philippe Langevin
Eurocode 90, 1990, Unknown, Unknown Region. pp.51--61
Conference papers hal-01279322v1

Guest editorial for the special issue for Jacques Wolfmann

Yves Aubry , Claude Carlet , Philippe Langevin , Pascal Véron
Editors: Yves Aubry and Claude Carlet and Philippe Langevin and Pascal Véron. Springer Verlag, vol. 3 (4), pp.113, 2011, Cryptography and Communications, ⟨10.1007/s12095-011-0056-0⟩
Books hal-00682554v1

Kasami bent functions are not equivalent to their duals

Philippe Langevin , Gregor Leander , Gary Mcguire
Finite fields and applications, 461, Amer. Math. Soc., pp.187--197, 2008, Contemp. Math
Book sections hal-01279298v1

Gauss sums over quasi-Frobenius rings

Philippe Langevin , Patrick Solé
Finite fields and applications (Augsburg, 1999), Springer, pp.329--340, 2001
Book sections hal-01279303v1