Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography
作者： Daniel V. Bailey , Christof Paar
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摘要: … field used to achieve fast finite field arithmetic which we call an Optimal Extension Field (… We extend this work by presenting an adaptation of Itoh and Tsujii’s algorithm for finite field …
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Julio R. Bastida, Field extensions and Galois theory ,(1984)
Ronald L. Rivest, The RC5 encryption algorithm fast software encryption. pp. 86- 96 ,(1994) , 10.1007/3-540-60590-8_7
Preda Mihailescu, F Pappalardi, Elliptic Curves in Cryptography ,(1999)
Erik De Win, Antoon Bosselaers, Servaas Vandenberghe, Peter De Gersem, Joos Vandewalle, A Fast Software Implementation for Arithmetic Operations in GF(2n) international cryptology conference. pp. 65- 76 ,(1996) , 10.1007/BFB0034836
G. H. Norton, Extending the Binary GCD Algorithm Applicable Algebra in Engineering, Communication and Computing. pp. 363- 372 ,(1985) , 10.1007/3-540-16776-5_741
Tetsutaro Kobayashi, Hikaru Morita, Kunio Kobayashi, Fumitaka Hoshino, Fast elliptic curve algorithm combining Frobenius map and table reference to adapt to higher characteristic theory and application of cryptographic techniques. pp. 176- 189 ,(1999) , 10.1007/3-540-48910-X_13
Richard Schroeppel, Hilarie Orman, Sean O’Malley, Oliver Spatscheck, Fast Key Exchange with Elliptic Curve Systems international cryptology conference. pp. 43- 56 ,(1995) , 10.1007/3-540-44750-4_4
Xuejia Lai, James L. Massey, A proposal for a new block encryption standard theory and application of cryptographic techniques. pp. 389- 404 ,(1991) , 10.1007/3-540-46877-3_35
Alfred J Menezes, Paul C van Oorschot, Scott A Vanstone, Handbook of Applied Cryptography ,(1996)
Henryk Iwaniec, János Pintz, Primes in short intervals Monatshefte für Mathematik. ,vol. 98, pp. 115- 143 ,(1984) , 10.1007/BF01637280