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The average dimension of the hull of cyclic codes

✍ Scribed by Gintaras Skersys

Book ID
104444197
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
608 KB
Volume
6
Category
Article
ISSN
1571-0653

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that the average dimension of the hull (intersection of the code and its dual code) of the cyclic codes of given length n over a g i v en nite eld F q is either zero or of the same order as n, and it is zero if and only if n is a divisor of an integer of the form q m + 1 , m > 0.

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