On skew polynomial codes and lattices from quotients of cyclic division algebras
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Publication:259271
DOI10.3934/AMC.2016.10.79zbMath1352.94093arXiv1506.06079OpenAlexW2964271101MaRDI QIDQ259271
Frédérique Oggier, Jérôme Ducoat
Publication date: 11 March 2016
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06079
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Arithmetic codes (94B40) Algebras and orders, and their zeta functions (11S45)
Related Items (8)
How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ Lengths of cyclic algebras and commutative subalgebras of quaternion matrices ⋮ The automorphisms of Petit’s algebras ⋮ A quadratic form approach to construction A of lattices over cyclic algebras ⋮ Quotients of orders in algebras obtained from skew polynomials with applications to coding theory ⋮ Dual skew codes from annihilators: Transpose Hamming ring extensions ⋮ Duality for (skew-)polynomial codes and a variation of Construction A
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