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Journal Article
Hardware Addition Over Finite Fields Based On Booth–Karatsuba Algorithm
J Ayuso Perez
The Computer Journal, Volume 67, Issue 8, August 2024, Pages 2643–2666, https://doi.org/10.1093/comjnl/bxae034
Published: 08 May 2024
... finite field operations Galois field arithmetic Complutense University of Madrid and Research Service of UCM With the previous premises, in this example we denote , in 4-bit binary representation, assuming that and , to apply B-K to the addition operation [ 11 – 14 ]. Our starting point...
Journal Article
Fast Inversions in Small Finite Fields by Using Binary Trees
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Haibo Yi and others
The Computer Journal, Volume 59, Issue 7, July 2016, Pages 1102–1112, https://doi.org/10.1093/comjnl/bxw009
Published: 21 July 2016
... approach that also supports exponentiation in small finite fields. Such an approach can be used for optimizing Itoh–Tsuji implementations [ 10 ] that require the product of fixed -powers from the addition chain. In addition, we can reduce the latency of inversions in large fields due to the fact...
Journal Article
Deformation Theory and The Computation of Zeta Functions
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Alan G. B. Lauder
Proceedings of the London Mathematical Society, Volume 88, Issue 3, May 2004, Pages 565–602, https://doi.org/10.1112/S0024611503014461
Published: 01 May 2004