INTEGER t-SHIFT CODES AND FACTORING ABELIAN GROUPS

Authors : Sándor Szabó

Pages : 25-36

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Publication Date : 2011-12-01

Article Type : Research Paper

Abstract :Let p a be prime number. Using algebraic methods from the factorization theory of abelian groups we will prove a result about the structure of the 1-error correcting t-shift integer codes over the alphabet Zp in the special case when t is a prime. The algorithms to construct such codes can take advantage of this extra structural information in a straightforward manner and the search for these codes can be speed up dramatically.
Keywords : integer codes, shift codes, single error correcting perfect codes, splitting and factoring abelian groups