منابع مشابه
A Note on Medial Division Groupoids
In 1949, M. Sholander [4] showed that every medial cancellation groupoid can be embedded into a medial quasigroup. In this note we prove the dual assertion, that every medial division groupoid is a homomorphic image of a medial quasigroup.
متن کاملA note on factorisation of division polynomials
In [2], Verdure gives the factorisation patterns of division polynomials of elliptic curves defined over a finite field. However, the result given there contains a mistake. In this paper, we correct it.
متن کاملA Note on the Multiplicative Group of a Division Ring
Let K be a noncommutative division ring with center Z and multiplicative group K*. Hua [2; 3] proved that (i) K*/Z* is a group without center, and (ii) K* is not solvable. A generalization (Theorem 1) will be given here which contains as a special case (Theorem 2) the fact that K*/Z* has no Abelian normal subgroups. This latter theorem obviously contains both (i) and (ii). As a further corollar...
متن کاملA Note on Scalar Multiplication Using Division Polynomials
Scalar multiplication is the most important and expensive operation in elliptic curve cryptosystems. In this paper we improve the efficiency of the Elliptic Net algorithm to compute scalar multiplication by using the equivalence of elliptic nets. The proposed method saves four multiplications in each iteration loop. Experimental results also indicates that our algorithm will be more efficient t...
متن کاملNote on fast division algorithm for polynomials using Newton iteration
The classical division algorithm for polynomials requires O(n) operations for inputs of size n. Using reversal technique and Newton iteration, it can be improved to O(M(n)), where M is a multiplication time. But the method requires that the degree of the modulo, x, should be the power of 2. If l is not a power of 2 and f(0) = 1, Gathen and Gerhard suggest to compute the inverse, f, modulo x r⌉,...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1897
ISSN: 0025-5572
DOI: 10.2307/3604951