Krivye Ferma: Otsenka parametrov i primenenie dlya universal'nogo kheshirovaniya

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SKU:
9783659566042
UPC:
9783659566042
Format:
Paperback
Author:
Gennadiy Khalimov
Original Language:
'products-2019-02-09'!Russian
Pages:
76
Dimensions:
8.7 in. x 5.9 in. x 0.2 in.
Date Published:
1-July-2014
Autentifikatsiya dokazuemoy stoykosti realizuetsya metodami universal'nogo kheshirovaniya. Dlya postroeniya khesh funktsiy ispol'zuyutsya vychisleniya v pole ratsional'nykh funktsiy algebraicheskikh krivykh. Kollizionnye svoystva khesh kodov pryamo svyazyvayutsya s algebrogeometricheskimi parametrami krivykh. Nailuchshiy rezul'tat dostigaetsya na algebraicheskikh krivykh s bol'shim chislom tochek i naibol'shim otnosheniem k rodu. Krivye Ferma yavlyayutsya klassicheskimi ploskimi krivymi. Predstavleny rezul'taty issledovaniya krivykh Ferma v konechnykh polyakh: otsenki chisla tochek krivykh na osnove vychisleniya mul'tiplikativnykh podgrupp, priblizhennye otsenki chisla tochek dlya krivykh Ferma proizvol'noy stepeni v prostom i rasshirennom konechnom pole, asimptoticheskie rezul'taty po krivym Ferma nad konechnym polem, otsenki universal'nogo kheshirovaniya po krivym Ferma s bol'shim chislom tochek.