Variations of the McEliece Cryptosystem

Jessalyn Bolkema, Heide Gluesing-Luerssen, Christine A Kelley, Kristin E. Lauter, Beth Malmskog, Joachim Rosenthal

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer
Pages129-150
Number of pages22
DOIs
StatePublished - Jan 1 2017

Publication series

NameAssociation for Women in Mathematics Series
Volume9
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

Fingerprint

Cryptosystem
Hamming Weight
Second Variation
Error Correction
Encryption
Parity
Permutation
Attack
performance

ASJC Scopus subject areas

  • Mathematics(all)
  • Gender Studies

Cite this

Bolkema, J., Gluesing-Luerssen, H., Kelley, C. A., Lauter, K. E., Malmskog, B., & Rosenthal, J. (2017). Variations of the McEliece Cryptosystem. In Association for Women in Mathematics Series (pp. 129-150). (Association for Women in Mathematics Series; Vol. 9). Springer. https://doi.org/10.1007/978-3-319-63931-4_5

Variations of the McEliece Cryptosystem. / Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim.

Association for Women in Mathematics Series. Springer, 2017. p. 129-150 (Association for Women in Mathematics Series; Vol. 9).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bolkema, J, Gluesing-Luerssen, H, Kelley, CA, Lauter, KE, Malmskog, B & Rosenthal, J 2017, Variations of the McEliece Cryptosystem. in Association for Women in Mathematics Series. Association for Women in Mathematics Series, vol. 9, Springer, pp. 129-150. https://doi.org/10.1007/978-3-319-63931-4_5
Bolkema J, Gluesing-Luerssen H, Kelley CA, Lauter KE, Malmskog B, Rosenthal J. Variations of the McEliece Cryptosystem. In Association for Women in Mathematics Series. Springer. 2017. p. 129-150. (Association for Women in Mathematics Series). https://doi.org/10.1007/978-3-319-63931-4_5
Bolkema, Jessalyn ; Gluesing-Luerssen, Heide ; Kelley, Christine A ; Lauter, Kristin E. ; Malmskog, Beth ; Rosenthal, Joachim. / Variations of the McEliece Cryptosystem. Association for Women in Mathematics Series. Springer, 2017. pp. 129-150 (Association for Women in Mathematics Series).
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