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New modular multiplication and division algorithms based on continued fraction expansion
Modular arithmetic – Continued fraction – Euclidean algorithm – Ostrowski number system
2013/4/18
In this paper, we apply results on number systems based on continued fraction expansions to modular arithmetic. We provide two new algorithms in order to compute modular multiplication and modular div...
On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1:12=0 and other related hyperquadratic expansions
Continued fractions Fields of power series Finite fields
2010/12/15
.In 1985, Robbins observed by computer the continued frac-tion expansion of certain algebraic power series over a finite field. Inciden-tally he came across a particular equation of degree four in cha...