Title | ||
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On the Structure and Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths Over Finite Commutative Chain Rings. |
Abstract | ||
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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 |
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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 Sharma | 1 | 10 | 8.49 |
Tania Sidana | 2 | 0 | 1.01 |