Polyadic Constacyclic Codes

Polyadic Constacyclic Codes

For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, s...

Full description

Saved in:
Bibliographic Details
Main Authors: Chen, Bocong, Dinh, Hai Quang, Fan, Yun, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
DRNTU::Science::Mathematics::Applied mathematics::Information theory
Polyadic constacyclic code
p-adic valuation
Online Access:https://hdl.handle.net/10356/103520
http://hdl.handle.net/10220/38325
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
Description
Summary:For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed.

Similar Items