Výsledky vyhledávání - "Type II codes"

Autor: Dougherty, Steven T., Fernández Córdoba, Cristina

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

We study odd and even Z₂Z₄ formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and e

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http://hdl.handle.net/2072/407951

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On the existence of extremal Type II codes over Z6

Autor: Masaaki Harada

Publikováno v: Discrete Mathematics. 223(1-3):373-378

Recently, there has been tremendous interest in self-dual codes over finite rings, specifically the rings Z 2k . In this note, the first examples of extremal Type II codes over Z 6 of length 32 are constructed. These give examples of extremal even un

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Jacobi forms over totally real fields and type II codes over Galois rings GR(2m,f)

Autor: K. Betsumiya, Y. Choie

Publikováno v: European Journal of Combinatorics. 25(4):475-486

In this paper, we study the invariant polynomial ring of the generalized Clifford–Weil group and give a connection to Jacobi modular forms over the totally real field. The invariant polynomials can be constructed from the weight enumerators of type

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Type II codes over F2m+uF2m

Autor: San Ling, Koichi Betsumiya, Fidel Nemenzo

Publikováno v: Discrete Mathematics. 275(1-3):43-65

We look at the special class of self-dual codes called Type II codes over the alphabet Rm =F2m + uF2m where u2 = 0. Properties of the Gray maps which take self-dual codes over Rm to self-dual codes over the subrings F2m and Rr = F2r + uF2r for diviso

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