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Small-bias sample space
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Small-bias sample space : ウィキペディア英語版
Small-bias sample space
In theoretical computer science, a small-bias sample space (also known as \epsilon-biased sample space, \epsilon-biased generator, or small-bias probability space) is a probability distribution that fools parity functions.
In other words, no parity function can distinguish between a small-bias sample space and the uniform distribution with high probability, and hence, small-bias sample spaces naturally give rise to pseudorandom generators for parity functions.
The main useful property of small-bias sample spaces is that they need far fewer truly random bits than the uniform distribution to fool parities. Efficient constructions of small-bias sample spaces have found many applications in computer science, some of which are derandomization, error-correcting codes, and probabilistically checkable proofs.
The connection with error-correcting codes is in fact very strong since \epsilon-biased sample spaces are ''equivalent'' to \epsilon-balanced error-correcting codes.
==Definition==


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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