Skew differential Goppa codes and their application to Mceliece cryptosystem
Copyright policy )Skew differential Goppa codes and their application to Mceliece cryptosystem
AbstractA class of linear codes that extends classical 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.
- University of Granada Spain
Decoding algorithm, FOS: Computer and information sciences, Computer Science - Cryptography and Security, Decoding, Computer Science - Information Theory, Information Theory (cs.IT), Mathematics - Rings and Algebras, McEliece-type cryptosystem, 94B35, 94A60, 16S36, Ordinary and skew polynomial rings and semigroup rings, Rings and Algebras (math.RA), Cryptography, FOS: Mathematics, skew-differential Goppa code, Skew-differential Goppa code, decoding algorithm, Cryptography and Security (cs.CR)
Decoding algorithm, FOS: Computer and information sciences, Computer Science - Cryptography and Security, Decoding, Computer Science - Information Theory, Information Theory (cs.IT), Mathematics - Rings and Algebras, McEliece-type cryptosystem, 94B35, 94A60, 16S36, Ordinary and skew polynomial rings and semigroup rings, Rings and Algebras (math.RA), Cryptography, FOS: Mathematics, skew-differential Goppa code, Skew-differential Goppa code, decoding algorithm, Cryptography and Security (cs.CR)
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