Finite Field Linear Algebra Subroutines

The fractional Poisson field (fPf) can be interpreted in term of the number of balls falling down on each point of R D , when the centers and the radii of the balls are thrown at

We propose various strategies for improving the computation of discrete logarithms in non-prime fields of medium to large characteristic using the Number Field Sieve.. This includes

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Berkovich’s strategy is based on the fact that in the case of a local non-Archimedean ground field with non-trivial absolute value, the Bruhat-Tits building of the group PGL(V)

Equations (22), (23), and (27) are the fundamental equations of a unified classical field theory describing electric current, electromagnetic field, and mat- ter in terms of

We used Magma [1] to construct Table 3 which confirm our guess by comparing the densities of the best known Kummer extended bases to the densities of the best known

Clarkson and Woodruff [4] proposed a randomized one pass streaming algorithm that uses O(k 2 log n) space to decide if the rank of a matrix is k, and proved an Ω(k 2 ) lower bound

However, most computer algebra systems feature highly-optimized univariate polynomial multiplication for the basic rings (such as Z, Q, F q ,. ), therefore Kronecker substitution