Galois field multiplier

Details Galois field multiplier Galois field multiplier

1994-11-18

1996-03-26

Envall, Jr., Roy N.

Boots, shoes, and leggings

G06F 700

Patent

active

055026656

ABSTRACT:
A Galois field multiplication method for a set of a finite number of elements which enables four arithmetical operations including an addition, a deduction, a multiplication and a division, and a multiplier utilizing the multiplication method are disclosed. The Galois field multiplication method easily realizes various Galois field multipliers by ANDing respective items of a multiplicand with a corresponding one of the items of a multiplier factor in a stepwise manner, rotating left values resulted from the AND operation at the previous step, exclusively ORing the respective values resulted from the rotation with the respective corresponding values resulted from the AND operation at the current step, and operating on the highest polynomial term generated at the previous step in accordance with a generated polynomial.

REFERENCES:
IEEE Transactions on Computers, vol. C-20, No. 12, pp. 1573-1575, Dec., 1971, New York.

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