Sentence examples for multiplicative group of from inspiring English sources

The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters.

We consider the infinite-dimensional Lie group G which is the semidirect product of the group of compactly supported diffeomorphisms of a Riemannian manifold X and the commutative multiplicative group of functions on X.

These graphs are constructed using Latin squares defined over a multiplicative group of a Galois ring, rather than a finite field.

The one parameter group { λ a } is then written with a multiplicative parameter a ∈ R + (the multiplicative group of positive real numbers).

The codes are constructed based on regular Tanner graphs by using Latin squares over a multiplicative group of a Galois ring, rather than a finite field.

Using the multiplicative group of unit elements of a Galois ring extension of Z p m Open image in new window, Shankar[6] has constructed BCH codes over Z p m Open image in new window.

In this paper, we propose signal constellations based on multiplicative groups of Gaussian and Eisenstein integers.

We show that by using multiplicative groups of integers, one can identify and arrange the computation as a pair of convolutions.

Better algorithms based on the index calculus framework have long been known for discrete logarithm problems over multiplicative groups of finite fields or hyperelliptic curves, but generic algorithms have remained the best algorithms for solving ECDLP until recently.

Also, A i ∗ Open image in new window and K i ∗ Open image in new window for each i, where 0 ≤ i ≤ t, are multiplicative groups of units of A i Open image in new window and K i Open image in new window, respectively.

We show that any countable subgroup of the multiplicative group R×+ of positive real numbers can be realized as the fundamental group F(A) of a separable simple unital C⁎-algebra A with unique trace.