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The existence of a formally self-dual even [70, 35, 14] code

โœ Scribed by T.A Gulliver; M Harada


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
222 KB
Volume
11
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


In this letter, double circulant [68, 34, 13]

codes with two different weight distributions are presented. In addition, it is shown that codes with one of these distributions can be extended to a formally self-dual even [70, 35, 14] code. This is the first example of a formally self-dual even code with these parameters.


๐Ÿ“œ SIMILAR VOLUMES


The Existence of a Self-Dual [70, 35, 12
โœ Masaaki Harada ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

In this note, the existence of self-dual codes and formally self-dual even codes is investigated. A construction for self-dual codes is presented, based on extending generator matrices. Using this method, a singly-even self-dual [70, 35, code is constructed from a self-dual code of length 68. This i