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Single-Error-Correcting Perfect and Near Perfect AN Codes in Symmetric Multivalued Number Representation

Munehiro GOTO

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Summary :

AN codes are effective for the error correction in the arithmetic operations using the symmetric r-ary number representation (SrR). This paper discusses the existence of perfect AN codes in SrR and shows that such codes exist for r3, 5, 7, 11 but do not for r9. Furthermore, it is shown that there exist near perfect AN codes in SrR similar to Neumann-Rao AN codes in the conventional r-ary number representation.

Publication
IEICE TRANSACTIONS on transactions Vol.E67-E No.7 pp.359-362
Publication Date
1984/07/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Computers

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