Title
On the Structure and Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths Over Finite Commutative Chain Rings.
Abstract
Let p be a prime, s be a positive integer, and R be a finite commutative chain ring with the characteristic as a power of p. For a unit λ ε R, λ-constacyclic codes of length ps over R are ideals of the quotient ring R[x]/(x(p)s -λ). In this paper, we derive necessary and sufficient conditions under which the quotient ring R[x]/(x(p)s - λ) is a chain ring. When R[x]/(x(p)s - λ) is a chain ring, all...
Year
DOI
Venue
2019
10.1109/TIT.2018.2864293
IEEE Transactions on Information Theory
Keywords
Field
DocType
Measurement,Structural rings,Modules (abstract algebra),Linear codes,Decoding,Hamming weight
Integer,Discrete mathematics,Combinatorics,Finite field,Computer science,Separable space,Quotient ring,Hamming distance,Hamming weight,Prime power,Lambda
Journal
Volume
Issue
ISSN
65
2
0018-9448
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Anuradha Sharma1108.49
Tania Sidana201.01