DocumentCode :
2469999
Title :
Constacyclic codes and cocycles
Author :
Hughes, Garry
Author_Institution :
Dept. of Math., RMIT, Melbourne, Vic., Australia
fYear :
1998
fDate :
16-21 Aug 1998
Firstpage :
233
Abstract :
Constacyclic codes may naturally be viewed as objects arising from the cohomological concept of a cocycle. Cohomology theory suggests a transformation which is used to show, under certain circumstances, a cyclic code of length mn over a ring R is isomorphic to the direct sum of m constacyclic codes of length n. In particular this isomorphism holds in many local rings (for example Galois rings) and also in the modular ring Zr
Keywords :
algebraic codes; cyclic codes; group codes; Galois rings; algebraic coding; cocycles; cocyclic group ring codes; cohomological concept; cohomology theory; constacyclic codes; cyclic code; isomorphism; local rings; modular ring; Algebra; Australia; Mathematics; Modules (abstract algebra); Polynomials;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
Type :
conf
DOI :
10.1109/ISIT.1998.708837
Filename :
708837
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2469999
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