By Henning Stichtenoth (auth.), M. Anwar Hasan, Tor Helleseth (eds.)
This booklet constitutes the refereed complaints of the 3rd foreign Workshop at the mathematics of Finite Fields, WAIFI 2010, held in Istanbul, Turkey, in June 2010. The 15 revised complete papers offered have been conscientiously reviewed and chosen from 33 submissions. The papers are equipped in topical sections on effective finite box mathematics, pseudo-random numbers and sequences, Boolean features, capabilities, Equations and modular multiplication, finite box mathematics for pairing dependent cryptography, and finite box, cryptography and coding.
Read Online or Download Arithmetic of Finite Fields: Third International Workshop, WAIFI 2010, Istanbul, Turkey, June 27-30, 2010. Proceedings PDF
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Extra info for Arithmetic of Finite Fields: Third International Workshop, WAIFI 2010, Istanbul, Turkey, June 27-30, 2010. Proceedings
To obtain the actual implementation results, the original and modiﬁed structures are coded in VHDL and they are implemented on a Xilinx® Virtex5™ ﬁeld-programmable gate array (FPGA) device for diﬀerent digit sizes. The comparison results show that the modiﬁed structure outperforms the original one in terms of area without signiﬁcantly aﬀecting the multiplication time. It is also shown that for the highest digit size, the bitparallel multiplier obtained from the modiﬁed digit-level multiplier requires the least number of XOR gates with the same gate delay compared to the existing fast GNB multipliers.
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22(2), 149–161 (1989) 20. : Optimal Normal Bases. Designs, Codes and Cryptography 2, 315–323 (1992) 21. : Low Complexity Normal Bases. Discrete Applied Mathematics 25(3), 191–210 (1989) 22. : Complexity reduction of constant matrix computations over the binary ﬁeld. , Sunar, B. ) WAIFI 2007. LNCS, vol. 4547, pp. 103–115. Springer, Heidelberg (2007) Type-II Optimal Polynomial Bases Daniel J. O. org Abstract. In the 1990s and early 2000s several papers investigated the relative merits of polynomial-basis and normal-basis computations for F2n .