Galois Field arithmetic apparatus and method

Details Galois Field arithmetic apparatus and method Galois Field arithmetic apparatus and method

1998-09-30

2000-10-17

Ngo, Chuong Dinh

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

G06F 700

Patent

active

061345725

ABSTRACT:
The present invention represents Galois Field elements using power representation, rather than polynomial representation. Such representation eliminates the need for logarithm operations. It provides a simplified decoder and reduced critical path. Utilizing power notation to present field elements, the inventive implementation with modest support circuitry. Addition is more complicated but has a shorter critical path than the multiplication circuit for the polynomial filed element presentation.

REFERENCES:
patent: 4742479 (1988-05-01), Kloker et al.
patent: 4866654 (1989-09-01), Yamada
patent: 4918638 (1990-04-01), Matsumoto et al.
patent: 5905665 (1999-05-01), Rim
patent: 6038581 (2000-03-01), Aoki et al.

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