Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 15th International S Marc Fossorier,Tom H?holdt,Alain Poli Conference pro

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Energy, Climate and the EnvironmentMotivated by cryptographical applications, the second and third generalized Hamming weights of AG codes arising from general curves are studied. This construction includes some of the most important AG codes: Hermitian Codes, elliptic codes, etc.

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Three Constructions of Authentication/Secrecy Codes,In this paper, we present three algebraic constructions of authentication codes with secrecy. The codes have simple algebraic structures and are easy to implement. They are asymptotically optimal with respect to certain bounds.

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Good Expander Graphs and Expander Codes: Parameters and Decoding,We present some explicit constructions of families of constant degree expander graphs. We use them to give constructions of expander codes and determine stronger bounds on their parameters. We also show that some of these codes can be decoded very efficiently using the decoding algorithm recently given by Janwa and Lal.

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On the Covering Radius of Certain Cyclic Codes,In this paper we apply divisibility techniques to obtain new results on the covering radius of certain cyclic codes.

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The Second and Third Generalized Hamming Weights of Algebraic Geometry Codes,Motivated by cryptographical applications, the second and third generalized Hamming weights of AG codes arising from general curves are studied. This construction includes some of the most important AG codes: Hermitian Codes, elliptic codes, etc.

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Anastasia Koulouri,Nikolai Mouravievnnemi.”. Indeed, Diffie and Hellman understood that only the deciphering operation has to be controlled by a secret key: the enciphering method may perfectly be executed by means of a publicly available key, provided it is virtually impossible to infer the secret deciphering key from the public data.