Efficient arithmetic in finite fields of odd characteristic...

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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10271730

ABSTRACT:
A method and apparatus for processing binary data representing field elements of an odd-characteristic finite field GF(pk). Binary data representing at least a portion of a field element of an odd-characteristic finite field GF(pk) is stored in a register, p being an odd prime number. The field element includes k coefficients in accordance with a polynomial-basis representation. The binary data includes plural groups of data bits, wherein each group of data bits represents an associated one of the k coefficients. At least one operation on contents of the register such that the plural groups of data bits are processed in parallel.

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Wicker, “Error Control Systems for Digital Communication and Storage”, Prentice-Hall, 1995, pp. 109-119 and 176-191.

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