New Family of Single-Error
نویسندگان
چکیده
Absfracf-A construction is given .that combines an (n, MI, &) code with an (n, Mt, de = [+(dl + l)]) code to form a (an, M1M2, dl) code. This is used to construct a new family of nongroup singleerror correcting codes of all lengths n from 2’” to 3 . 2m-1 1, for every wz 2 3. These codes have more codewords than any group code of the same length and minimum distance. A number of other nongroup codes are also obtained. Examples of the new codes are (16,2560,3) and (16,36,7) codes, both having more codewords than any comparable group code.
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تاریخ انتشار 1970