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Variations of the McEliece cryptosystem


Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A; Lauter, Kristin E; Malmskog, Beth; Rosenthal, Joachim (2017). Variations of the McEliece cryptosystem. In: Howen, Everett W; Lauter, Kristin E; Walker, Judy L. Algebraic Geometry for Coding Theory and Cryptography. Cham: Springer, 129-150.

Abstract

Two variations of the McEliece cryptosystem are presented. The first is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added in the encryption process, can be controlled so that efficient decryption remains possible. The second variation is based on the use of spatially coupled moderate-density parity-check codes as secret codes. These codes are known for their excellent error-correction performance and allow for a relatively low key size in the cryptosystem. For both variants the security with respect to known attacks is discussed.

Abstract

Two variations of the McEliece cryptosystem are presented. The first is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added in the encryption process, can be controlled so that efficient decryption remains possible. The second variation is based on the use of spatially coupled moderate-density parity-check codes as secret codes. These codes are known for their excellent error-correction performance and allow for a relatively low key size in the cryptosystem. For both variants the security with respect to known attacks is discussed.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Social Sciences & Humanities > Gender Studies
Language:English
Date:2017
Deposited On:14 Feb 2018 09:28
Last Modified:25 Nov 2023 08:16
Publisher:Springer
ISBN:978-3-319-63930-7
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-3-319-63931-4_5