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A group algebra construction of binary even self dual codes

โœ Scribed by J Wolfmann

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
504 KB
Volume
65
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

A class of doubly even self dual binary
A class of doubly even self dual binary codes
โœ Jacques Wolfmann ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

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.)