Travaux


CV HAL

Codes (tordus)
Systèmes hamiltoniens et intégrabilité
Thèse, HDR


Codes (tordus)


Some constructions and existence conditions for Hermitian self-dual skew codes. hal
Kayodé Epiphane Nouetowa, D. B.
Accepté sous réserve de révision mineure à Designs Codes and Cryptography, 2023


A note on the duality of skew modules codes. hal
WCC 2022 : The Twelfth International Workshop on Coding and Cryptography, Mar 2022, Rostock, Germany


An Overview on Skew Constacyclic Codes and their Subclass of LCD Codes. hal
Ranya Djihad Boulanouar, Aicha Batoul, D. B.
Advances in Mathematics of Communications (AMC), November  2021, 15(4): 611-632


An algorithm for decoding skew Reed-Solomon codes with respect to the skew metric. hal
(version longue de l'extended abstract de WCC19,
Designs, Codes and Cryptography, Springer Verlag, 2020, Special Issue on Coding and Cryptography 2019, 88 (9), pp.1991-2005)

A construction of self-dual skew cyclic and negacyclic codes of length $n$ over $F_{p^n}$. hal video
Aicha Batoul, D. B., Ranya Djihad Boulanouar,
8th International Workshop, WAIFI 2020, Rennes, France, July 6–8, 2020


A first step towards the skew duadic codes.  hal
Advances in Mathematics of Communications (AMC),August 2018, 12(3): 553-577

Construction and number of self-dual skew codes over $F_{p^2}$.  hal
Advances in Mathematics of Communications (AMC), Vol. 10, no. 4 November 2016, Pages 765-795

A Note on the Existence of Self-Dual Skew Codes over Finite Fields. hal
Volume 9084 of the series Lecture Notes in Computer Science, pp 228-239
C2SI-Berger2015
,  Rabat, 26-28 mai 2015

Self-dual skew codes and factorization of skew polynomials. hal
D. B. , Felix Ulmer.
Journal of Symbolic Computation, Volume 60, January 2014, Pages 47–61
http://dx.doi.org/10.1016/j.jsc.2013.10.003

Linear codes using skew polynomials with automorphisms and derivations.  hal
D. B., Felix Ulmer
Designs, Codes and Cryptography: Volume 70, Issue 3 (2014), Page 405-431
http://dx.doi.org/10.1007/s10623-012-9704-4

A note on the dual codes of module skew codes. hal
D. B., Felix Ulmer
Lecture Notes in Computer Science, 2011, Volume 7089, Cryptography and Coding, Pages 230-243
13th IMA International Conference, IMACC 2011, Oxford, UK, December 12-15, 2011.

Key Exchange and Encryption Schemes Based on Non-commutative Skew Polynomials.  hal
D. B. , Philippe Gaborit, Willi Geiselmann, Olivier Ruatta et Felix Ulmer
Lecture Notes in Computer Science, 2010, Volume 6061, Post-Quantum Cryptography, Pages 126-141
PQCrypto 2010, Darmstadt, Germany, May 25-28, 2010


Codes as modules over skew polynomial rings.  hal
D. B., Felix Ulmer
Lecture Notes in Computer Science, 2009, Volume 5921, Cryptography and Coding, Pages 38-55
12th IMA International Conference, Cryptography and Coding 2009, Cirencester, UK, December 15-17, 2009

Coding with skew polynomial rings.  hal
D. B., Felix Ulmer
Journal of Symbolic Computation, Volume 44, Issue 12, December 2009, Pages 1644-1656,  2009, Gröbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics .

Skew Constacyclic Codes over Galois Rings.hal
D. B., Patrick Solé et Felix Ulmer
Advances in Mathematics Computations Volume 2, No. 3, 2008, 273-292

Skew Cyclic Codes hal
D. B., Willi Geiselmann et Felix Ulmer

AAECC (Applied Algebra in Engineering, Communication and Computing), Volume 18, Number 4, p. 379-389, August 2007





Systèmes hamiltoniens et intégrabilité

About the Non-Integrability in the Friedmann-Robertson-Walker Cosmological Model.
hal
D. B., Jacques-Arthur Weil
 Brazilian Journal Of Physics, vol. 37, no. 2A, June, 2007


Non complete integrability of a satellite in circular orbit. hal
Portuguliae Mathematica,  Vol. 63 Fasc. 1 - 2006


Non Complete Integrability of a Magnetic Satellite in Circular Orbit.
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation (ISSAC 2005), ACM Press, Beijing, China, July 24-27


Application of J.-J. Morales and J.-P. Ramis' theorem to test the non-complete integrability of the planar three-body problem.

D. B., Jacques-Arthur Weil
From combinatorics to dynamical systems,  163--177, IRMA Lect. Math. Theor. Phys., 3, de Gruyter, Berlin, 2003.

Sur la non-intégrabilité du problème plan des trois corps de masses égales.

C.R.Acad.Sci. Paris, t.331, Serie I, p.391-394, septembre 2000.
  


Thèse, HDR



Autour de codes définis à l'aide de polynômes tordus.
HDR, Université de Rennes 1, juin 2020.

Sur les équations différentielles linéaires paramétrées, une application aux systèmes hamiltoniens. 
Thèse, Université de Limoges, octobre 2000.



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Mise à jour le 18 février 2021