An efficient implementation of Galois fields used in cryptography research. For example, is a Galois field of characteristic 2 that is a two-dimensional vector space over the prime subfield .

(GF(p^q), +, 0) is an abelian group, (GF(p^q) \ {0}, *, 1) is an abelian group, * is distributive over +, and #GF(p^q) is finite. For example, GF(4) is a Galois field of characteristic 2 that is a two ...

Abstract: A high-speed method is derived for single-symbol error correcting Reed-Solomon and Hamming type codes. A matrix description is used for implementation of ...

Recent research in this field has focused on various conjectures and theorems that link modular forms to other mathematical structures, such as Galois representations and L-functions. These ...

To demonstrate the use of the simulator generator and the generated simulator, three case studies are considered - simulation of RISC-V with HyperWall, simulation of RISC-V with bit-serial dot-product ...

Iwasawa theory, on the other hand, deals with the growth of the ranks of these groups in relation to the Galois extensions of number fields, particularly in the context of p-adic numbers.

What even is a field watch? Unlike most types of watch, this one cannot be easily and definitely described in a sentence, or with a set of specifications. Instead, it’s best to think of a field watch ...

Due to a relatively weak draft class, the Steelers will have to likely either retain one of their two quarterbacks from last season in Russell Wilson and Justin Fields or pick up a different ...

There is reportedly some belief that quarterback Justin Fields could potentially re-sign with the Pittsburgh Steelers in free agency this offseason. According to ESPN's Jeremy Fowler, there is a ...

Neither Russell Wilson nor Justin Fields is under contract for the 2025 season, leaving the Steelers' quarterback cupboard bare. With a weak quarterback draft class and lackluster free agency ...

The top 12 and ties from last year's Masters are allowed to return, as are the top four and ties from the other three majors in 2024, with every winner at a full-field PGA Tour event - the ones ...