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Skew differential Goppa codes and their application to McEliece cryptosystem
July 28, 2022 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
JosΓ© GΓ³mez-Torrecillas, F. J. Lobillo, Gabriel Navarro
arXiv ID
2207.14270
Category
cs.IT: Information Theory
Cross-listed
cs.CR,
math.RA
Citations
0
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
A class of linear codes that extends classic Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key equation, is designed. We show how the parameters of these codes, when the alphabet is a finite field, may be adjusted to propose a McEliece-type cryptosystem.
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