This chapter excerpted from Hardware Implementation of Finite-Field Arithmetic describes several algorithms, namely, the integer division, the reduction mod B k — a, the precomputation of B ik mod m, ...

An algorithm for realizing finite field arithmetic is presented. The relationship between linear recursions and polynomial arithmetic (modulo a fixed polynomial) over ...

Combinatorial geometry and finite fields constitute a vibrant area of research that bridges classical geometric intuition with discrete algebraic structures. This interdisciplinary field examines the ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 72, No. 9 (1975), pp. 3281-3284 (4 pages) Associated with some systems of unramified coverings of algebraic curves ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

The FACTEX procedure constructs a fractional design for q-level factors using the Galois field (or finite field) of size q. This is a system with q elements and two operations + and ×, which satisfy ...