[HTML][HTML] All α+ uβ-constacyclic codes of length nps over Fpm+ uFpm
W Zhao, X Tang, Z Gu - Finite Fields and Their Applications, 2018 - Elsevier
Let F pm be a finite field with cardinality pm and R= F p m+ u F pm with u 2= 0. We aim to
determine all α+ u β-constacyclic codes of length nps over R, where α, β∈ F pm⁎, n, s∈ N+ …
determine all α+ u β-constacyclic codes of length nps over R, where α, β∈ F pm⁎, n, s∈ N+ …
A matrix based list decoding algorithm for linear codes over integer residue rings
In this paper we address the problem of list decoding of linear codes over an integer residue
ring Z q, where q is a power of a prime p. The proposed procedure exploits a particular …
ring Z q, where q is a power of a prime p. The proposed procedure exploits a particular …
Skew constacyclic codes over the local Frobenius non-chain rings of order 16.
We introduce skew constacyclic codes over the local Frobenius non-chain rings of order 16
by defining non-trivial automorphisms on these rings. We study the Gray images of these …
by defining non-trivial automorphisms on these rings. We study the Gray images of these …
Families of Rings
ST Dougherty, ST Dougherty - Algebraic Coding Theory Over Finite …, 2017 - Springer
In this chapter, we describe families of rings including the rings of order 4, their
generalizations, X-rings, and the ring R_ q,\varDelta R q, Δ. We describe the kernel and rank …
generalizations, X-rings, and the ring R_ q,\varDelta R q, Δ. We describe the kernel and rank …