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
Polyadic constacyclic codes over a non-chain ring $$\mathbb {F}_{q}[u,v]/\langle f(u),g(v), uv-vu\rangle $$
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01290-x
Abstract: Let f(u) and g(v) be two polynomials, not both linear, which split into distinct linear factors over \(\mathbb {F}_{q}\). Let \(\mathcal {R}=\mathbb {F}_{q}[u,v]/ \langle f(u),g(v),uv-vu\rangle \) be a finite commutative non-chain ring. In this paper,… read more here.
Keywords: non chain; langle rangle; constacyclic codes; mathbb langle ... See more keywords
Skew Constacyclic Codes over a Non-Chain Ring
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25030525
Abstract: In this paper, we investigate the algebraic structure of the non-local ring Rq=Fq[v]/〈v2+1〉 and identify the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their duals over this… read more here.
Keywords: skew constacyclic; codes non; non chain; entanglement ... See more keywords