G - Physics – 06 – F
Patent
G - Physics
06
F
G06F 17/10 (2006.01) G06F 7/72 (2006.01) G06F 17/16 (2006.01) H04L 9/28 (2006.01)
Patent
CA 2437401
A Jacobian group element adder that can calculate addition in a Jacobian group of a Cab curve at a high speed, and can enhance practicality of the Cab curve is provided. An algebraic curve parameter file A 10, and Groebner bases I1 and I2 of ideals of a coordinate ring of an algebraic curve designated by this file A are input into an ideal composition section 11 to perform arithmetic of producing a Groebner basis J of an ideal product of the ideal generated by I1 and ideal generated by I2. In a first ideal reduction section 12, arithmetic is performed of producing a Groebner basis J* of an ideal that is smallest in a monomial order designated by the file A among ideals equivalent to an inverse ideal of an ideal that J in the coordinate ring of the algebraic curve designated by the file A generates. In a second ideal reduction section 13, arithmetic is performed of producing a Groebner basis J** of an ideal that is smallest in the monomial order designated by the file A among ideals equivalent to an inverse ideal of an ideal that this J* generates to output it.
Corporation Nec
G. Ronald Bell & Associates
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