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Design and Validation of a Regenerator of Binary Sequences Cryptographically Safe Based on Goppa Codes

Ahmed DRISSI, Ahmed ASIMI

Abstract


The Computer Security often uses pseudo random sequences. They are used in network communication protocols and in all cryptographic protocols. The majority of approaches that design pseudo random generators have been based on the number theory. In this article we propose a new design of a pseudorandom generator based on the nature pseudo random of the rational binary Goppa code of parameters randomly generated. It is, considered as an alternative to the number theory, characterized in the first hand by the regeneration of the binary sequences of variable sizes from a given seed and in other hand by the property to change its parameters according to the user’s need. The experimental study of our purpose has shown the success of fifteen tests of NIST from greater than or equal to eleven, which proves that our regenerator is distinguished by good statistical characteristics.

Keywords


Binary sequences cryptographically safe, pseudorandom generator, syndrome decoding problem, the classical Goppa code, statistical characteristics.

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