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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Fast matrix multiplication
 Ďuránová, Elena ; Barto, Libor (advisor) ; Růžička, Pavel (referee)
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Algebraická teorie S-boxů
 Ďuránová, Elena ; Tůma, Jiří (advisor) ; Drápal, Aleš (referee)
The thesis focuses on an algebraic description of S-boxes by the special type of quadratic equations, defined as biaffine equations. Biaffine equations satisfying S-boxes of higher order may not even exist. However, the special type of S-boxes en- ables to find such equations also for S-boxes of higher order. The S-box in the block cipher Rijndael, composed of the inverse function and the affine transformation, is an example of such special type of S-boxes. The thesis proves that a number of biaffine equations satisfying an S-box of this type does not depend on the affine function. The thesis also proves that for every S-box of order n formed by the in- verse function there exist at least 3n − 1 biaffine equations satisfying this S-box. 1
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Fast matrix multiplication
 Ďuránová, Elena ; Růžička, Pavel (referee) ; Barto, Libor (advisor)
Detailed record

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