Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Rowena Alma Betty"'
Publikováno v:
Mathematics, Vol 12, Iss 6, p 860 (2024)
The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order 4, to generate quasi self-dual codes. In the present paper, we in
Externí odkaz:
https://doaj.org/article/2af1e03f5f084f0a8ab9a14284b73ec9
Publikováno v:
Mathematics, Vol 12, Iss 6, p 862 (2024)
In this paper, we derive a mass formula for the self-orthogonal codes and self-dual codes over a non-commutative non-unitary ring, namely, Ep=a,b|pa=pb=0,a2=a,b2=b,ab=a,ba=b, where a≠b and p is any odd prime. We also give a classification of self-o
Externí odkaz:
https://doaj.org/article/02e05789cb2f493cbee681d62abf1978
Publikováno v:
Mathematics, Vol 11, Iss 23, p 4736 (2023)
We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b. We use these structures to give
Externí odkaz:
https://doaj.org/article/a25ea412291440ed987cd244ce957af7
Publikováno v:
Cryptography and Coding ISBN: 9783642108679
IMA Int. Conf.
IMA Int. Conf.
In this paper, we establish a mass formula for even codes over . In particular, a formula giving the total number of distinct Type II self-dual codes over of length n is established for each positive integer n divisible by 8.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10bf230b7cb50ffcbcec142ad604a0d1
https://doi.org/10.1007/978-3-642-10868-6_5
https://doi.org/10.1007/978-3-642-10868-6_5
