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, ...
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 ...
An algorithm for realizing finite field arithmetic is presented. The relationship between linear recursions and polynomial arithmetic (modulo a fixed polynomial) over ...
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 ...
Bays (until 2023), Cuntz, Deninger, Gardam (2022-2023), Hartl, Hellmann, Hille, Hils, Jahnke, Kwiatkoswka, Lourenço (since 2024), Nikolaus, Scherotzke (until 2020 ...
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