Skew differential Goppa codes and their application to McEliece cryptosystem

DOI10.1007/s10623-023-01286-6arXiv2207.14270MaRDI QIDQ6070353

Gabriel Navarro, F. J. Lobillo, José Gómez-Torrecillas

Publication date: 20 November 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14270

zbMATH Keywords

decoding algorithmMcEliece-type cryptosystemskew-differential Goppa code

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Cryptography (94A60) Decoding (94B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vandermonde and Wronskian matrices over division rings
• Wedderburn polynomials over division rings. I.
• Computing the bound of an Ore polynomial. Applications to factorization
• Theory of non-commutative polynomials
• On the density of normal bases in finite fields
• Constructing normal bases in finite fields
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS
• Subquadratic-time factoring of polynomials over finite fields
• On Constructing Primitive Roots in Finite Fields With Advice
• A Sugiyama-Like Decoding Algorithm for Convolutional Codes
• Fast Decoding of Codes in the Rank, Subspace, and Sum-Rank Metric
• Finite-Dimensional Division Algebras over Fields

This page was built for publication: Skew differential Goppa codes and their application to McEliece cryptosystem