New Quantum Codes from Skew Constacyclic Codes Over a Class Of Non-Chain Rings Re, q
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-021-04910-0
Abstract: In this paper, for q = pm (p is prime) such that q ≡ 1 (mod e), we study skew constacyclic codes over a class of non-chain rings $R_{e,q}=\mathbb {F}_{q}[u]/\langle u^{e}-1\rangle $ where m, e… read more here.
Keywords: non chain; codes class; skew constacyclic; class non ... See more keywords
Double Constacyclic Codes Over Two Finite Commutative Chain Rings
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3215593
Abstract: Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -additive cyclic codes and quasi-cyclic codes of fractional index etc., were proved asymptotically good.… read more here.
Keywords: finite commutative; commutative chain; chain rings; two finite ... See more keywords
Polynomials inducing the zero function on chain rings
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DOI: 10.1142/s0219498818501608
Abstract: We provide a minimal set of generators for the ideal of polynomials in R[x] that map the maximal ideal ???? into one of its powers ????n, where (R, ????) is a discrete valuation ring with… read more here.
Keywords: polynomials inducing; inducing zero; chain rings; function chain ... See more keywords
Determinants of some special matrices over commutative finite chain rings
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DOI: 10.1515/spma-2020-0118
Abstract: Abstract Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed… read more here.
Keywords: finite chain; commutative finite; matrices commutative; circulant matrices ... See more keywords