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BCH Hashing

103 bytes added, 14:17, 7 December 2019
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==[[Tony Warnock]]==
on ''Search Tables in Computer Chess'' <ref>[https://groups.google.com/group/rec.games.chess/msg/2a4183cb654443dc?hl=en Re: Hash tables----Clash!!!-What happens next?] by [[Tony Warnock]], [[Computer Chess Forums|rgcc]], March 17, 1994</ref> <ref>[[Tony Warnock]], [[Burton Wendroff]] ('''1988'''). ''Search Tables in Computer Chess''. [[ICGA Journal#11_1|ICCA Journal, Vol. 11, No. 1]]</ref>:
The following paper describes a method of generating the numbers for a hash table. By using [https://en.wikipedia.org/wiki/Error_detection_and_correction error correcting codes], we ensure that positions that are close on the board are not close in the hash space. Some experiments showed that we got an improvement in collision rate compared to using a [[Pseudorandom number generatorNumber Generator|random set of numbers]].
[[Mathematician#JMacWilliam|MacWilliams]] and [[Mathematician#NSloane|Sloane's]] book on error correcting codes <ref>[[Mathematician#JMacWilliam|Jessie MacWilliams]], [[Mathematician#NSloane|Neil Sloane]] ('''1981'''). ''[http://www.sciencedirect.com/science/bookseries/09246509/16 The Theory of Error-Correcting Codes]''. North-Holland Mathematical Library, [http://www.amazon.com/Theory-Error-Correcting-North-Holland-Mathematical-Library/dp/0444851933 amazon]</ref> has the glory details about the theory and programming.
* [http://mint.sbg.ac.at/desc_CCyclic-BCHBound.html MinT - Cyclic Codes (BCH-Bound)]
* [https://en.wikipedia.org/wiki/Root_of_unity_modulo_n Root of unity modulo n from Wikipedia]
* [[Videos#HuxFlux:Category:Hux Flux|Hux Flux]] - Calculus, [https://en.wikipedia.org/wiki/Hux_Flux#Albums Cryptic Crunch], [https://en.wikipedia.org/wiki/YouTube YouTube] Video
: {{#evu:https://www.youtube.com/watch?v=zqxOJptzkcQ|alignment=left|valignment=top}}
=References=
<references />
 
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