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A Novel Niederreiter-like cryptosystem based on the ( u | u + υ )-construction codes

Abstract : In this paper, we present a new variant of the Niederreiter Public Key Encryption (PKE) scheme which is resistant against recent attacks. The security is based on the hardness of the Rank Syndrome Decoding (RSD) problem and it presents a ( u | u + υ )-construction code using two different types of codes: Ideal Low Rank Parity Check (ILRPC) codes and λ -Gabidulin codes. The proposed encryption scheme benefits are a larger minimum distance, a new efficient decoding algorithm and a smaller ciphertext and public key size compared to the Loidreau’s variants and to its IND-CCA secure version.
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Contributor : Pierre-Louis Cayrel Connect in order to contact the contributor
Submitted on : Friday, November 19, 2021 - 3:03:01 PM
Last modification on : Saturday, June 25, 2022 - 7:27:42 PM

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Roumaissa Mahdjoubi, Pierre Louis Cayrel, Sedat Akleylek, Guenda Kenza. A Novel Niederreiter-like cryptosystem based on the ( u | u + υ )-construction codes. RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 2021, 55, pp.10. ⟨10.1051/ita/2021010⟩. ⟨hal-03436797⟩



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