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Singleton bound : ウィキペディア英語版
Singleton bound
In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude bound on the size of an arbitrary block code C with block length n, size M and minimum distance d.
==Statement of the bound==
The minimum distance of a set C of codewords of length n is defined as
:d = \min_(n,d) represents the maximum number of possible codewords in a q-ary block code of length n and minimum distance d.
Then the Singleton bound states that
:A_q(n,d) \leq q^.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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