An Algebraic Proof of the Associative Law of Elliptic Curves

Authors: Kazuyuki Fujii, Hiroshi Oike

ABSTRACT
In this paper we revisit the addition of elliptic curves and give an algebraic proof to the associative law by use of MATHEMATICA. The existing proofs of the associative law are rather complicated and hard to understand for beginners. An ‘‘elementary” proof to it based on algebra has not been given as far as we know. Undergraduates or non-experts can master the addition of elliptic curves through this paper. After mastering it they should challenge the elliptic curve cryptography.

Source:

Journal: Advances in Pure Mathematics


DOI: 10.4236/apm.2017.712040 (PDF)
Paper Id: 80983 (metadata)

See also: Comments to Paper

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