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Browse Journals & Magazines > Information Theory, IEEE Tran ...> Volume:56 Issue:1 Help

New Completely Regular q -ary Codes Based on Kronecker Products

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2 Author(s)
Rifa, J. ; Dept. of Inf. & Commun. Eng., Univ. Autonoma de Barcelona, Bellaterra, Spain ; Zinoviev, V.A.

For any integer ¿ ¿ 1 and for any prime power q , an explicit construction of an infinite family of completely regular (and completely transitive) q-ary codes with d = 3 and with covering radius ¿ is given. The intersection array is also computed. Under the same conditions, the explicit construction of an infinite family of q-ary uniformly packed codes (in the wide sense) with covering radius ¿, which are not completely regular, is also given. In both constructions, the Kronecker product is the basic tool that has been used.

Published in:
Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 1 )

Date of Publication: Jan. 2010

Page(s):
266 - 272
ISSN :
0018-9448
INSPEC Accession Number:
11024785
Digital Object Identifier :
10.1109/TIT.2009.2034812
Product Type:
Journals & Magazines
Date of Current Version :
28 December 2009
Issue Date :
Jan. 2010
Sponsored by :
IEEE Information Theory Society

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