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New Binary Singly Even Self-Dual Codes

โœ Scribed by Harada, M.; Kiermaier, M.; Wassermann, A.; Yorgova, R.


Book ID
114642050
Publisher
IEEE
Year
2010
Tongue
English
Weight
201 KB
Volume
56
Category
Article
ISSN
0018-9448

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๐Ÿ“œ SIMILAR VOLUMES


A class of doubly even self dual binary
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We give a construction of an infinite class of doubly even self dual binary codes including a code of length 112. (The study of such a code is closely related to the existence problem of a projective plane of order ten.)

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โœ J Wolfmann ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 504 KB

We give a construction of binary doubly even self dual codes as binary images of some principal ideals in a group algebra. In particular, we show how to produce such a code starting from any binary cyclic code with length not a multiple of 4 and dimension at least 3.