1. Nonbinary single-symbol error correcting, adjacent two-symbol transposition error correcting codes over integer rings.
- Author
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Namba, Kazuteru and Fujiwara, Eiji
- Subjects
INFORMATION science ,COMPUTERS ,COMPUTER input-output equipment ,CIPHERS ,INFORMATION technology - Abstract
Nonbinary information (m-ary symbol information) is often used in information input systems based on character recognition or keyboard entry. It is known that single-symbol errors and adjacent two-symbol transposition errors occur in such systems. This paper proposes a code construction method that can correct nonbinary single-symbol errors and also adjacent two-symbol transposition errors. The codes proposed in this paper consist of check symbols on integer rings and prime fields. These check symbols are converted to m-ary symbols and the code word is constructed by adding the result to the information symbol. The proposed code is better than the conventional code in terms of code length. When m=10, for example, the code length is more than twice that of the conventional code. © 2007 Wiley Periodicals, Inc. Syst Comp Jpn, 38(8): 54– 60, 2007; Published online in Wiley InterScience (
www.interscience.wiley.com ). DOI 10.1002/scj.10516 Copyright © 2004 Wiley Periodicals, Inc. [ABSTRACT FROM AUTHOR]- Published
- 2007
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