Operational method and apparatus over GF(2.sup.m) using a subfie

Details Operational method and apparatus over GF(2.sup.m) using a subfie Operational method and apparatus over GF(2.sup.m) using a subfie

1991-06-19

1993-07-13

Mai, Tan V.

Boots, shoes, and leggings

G06F 700

Patent

active

052279928

ABSTRACT:
An operation method and apparatus over Galois Field GF(2.sup.m) using a subfield GF(2.sup.m/2). The operation apparatus includes a conversion circuit for converting the elements represented by a basis of GF(2.sup.m) into the elements represented by a basis of GF(2.sup.m/2); an operation circuit for performing an operation over GF(2.sup.m/2) with respect to the elements represented by the basis of GF(2.sup.m/2); and a reversion circuit for reverting the operated elements represented by the basis of GF(2.sup.m/2) to the elements represented by the basis of GF(2.sup.m), thereby performing high speed operation and simplifying circuit construction.

REFERENCES:
patent: 4162480 (1974-07-01), Berlekamp
patent: 4251875 (1981-02-01), Marver et al.
patent: 4847801 (1989-07-01), Tong
patent: 4949294 (1990-08-01), Wambergue
patent: 4975867 (1990-12-01), Weng
patent: 4989171 (1991-01-01), Hollmann
Itoh et al., "Effective Recursive Algorithm for Computing Multiplicative Inverses in GF(2.sup.m)", Electronics Letters, Mar. 17th, 1988, vol. 24, No. 6, pp. 334-335.

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