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A Group Ring Construction of the Extended Binary Golay Code

โœ Scribed by McLoughlin, I.; Hurley, T.


Book ID
114641459
Publisher
IEEE
Year
2008
Tongue
English
Weight
126 KB
Volume
54
Category
Article
ISSN
0018-9448

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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.