LCD and ACD codes over a noncommutative non-unital ring with four elements
نویسندگان
چکیده
We study LCD (linear complementary dual) and ACD (additive codes over a noncommutative non-unital ring E with four elements. This is the first attempt to construct ring. show that free are directly related binary codes. introduce E. They include as special case. These facts imply worth studying. In particular, we characterize E-code C in terms of generator matrix G. also define an code E, called left-ACD code. give several conditions for existence
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ژورنال
عنوان ژورنال: Cryptography and Communications
سال: 2021
ISSN: ['1936-2455', '1936-2447']
DOI: https://doi.org/10.1007/s12095-021-00545-4