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Remarks on the Pocklington and Padr?S醗z Cube Root Algorithm in $\mathbb F_q$
cube root algorithm finite field Pocklington algorithm
2016/1/25
We clarify and generalize a cube root algorithm in Fq proposed by Pocklington [1],
and later rediscovered by Padr磑 and S碼ez [2]. We correct some mistakes in [2] and give
a full generalization of the...
New Cube Root Algorithm Based on Third Order Linear Recurrence Relation in Finite Field
applications / cube root algorithm Cipolla-Lehmer algorithm
2013/2/21
In this paper, we present a new cube root algorithm in finite field $\mathbb{F}_{q}$ with $q$ a power of prime, which extends the Cipolla-Lehmer type algorithms \cite{Cip,Leh}. Our cube root method is...
Low Complexity Cubing and Cube Root Computation over F3m in Standard Basis
Finite field arithmetic cubing cube root cryptography
2009/6/11
We present low complexity formulae for the computation of cubing and cube root over F3m constructed
using special classes of trinomials, tetranomials and pentanomials. We show that for all those
spe...