Perfect Mannheim, Lipschitz and Hurwitz weight codesReport as inadecuate

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Mathematical Communications, Vol.19 No.2 December 2014. -

The set of residue classes modulo an element  in the rings of Gaussian integers,Lipschitz integers and Hurwitz integers, respectively, is used as alphabets to form the words of error correcting codes. An error occurs as the addition of an element in a set E to the letter in one of the positions of a word. If E is a group of units in the original rings,

then we obtain the Mannheim, Lipschitz and Hurwitz metrics, respectively. Some new perfect 1-error-correcting codes in these metrics are constructed. The existence of perfect 2-error-correcting codes is investigated by computer search.

block codes; Lipschitz distance; Mannheim distance; perfect code

Author: Murat Güzeltepe - ; Department of Mathematics, Sakarya University, Sakarya,Turkey Olof Heden - ; Department of Mathematics, Stoc



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