Bounds and constructions for binary codes of length less than 24 and asymmetric distance less than 6
- 1 September 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 34 (5) , 1321-1331
- https://doi.org/10.1109/18.21262
Abstract
Upper bounds to the maximum number of codewords in a binary code of length n and asymmetric distance Δ are derived for some values of n and Δ. A method is given in which a code of length n-m and asymmetric distance at least t +1 is constructed by expurgating and puncturing a code of length n and Hamming distance at least 2t+1. Novel asymmetric error-correcting codes are constructed by applying this method to some celebrated symmetric error-correcting codes. a table is presented on the size of optimal asymmetric error-correcting codes of length less than 24 and asymmetric distance less than 6Keywords
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