Institute of Mathematics for Industry

Seminar



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Survey on the links between Kloosterman sums, Walsh transforms and elliptic curves over finite fields


Hold Date 2019-08-05 16:00~2019-08-05 17:00

Place Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Soonhak Kwon (Sungkyunkwan University)

Abstract :
Walsh transforms play an important roles in many areas including communication and coding theory, cryptography, etc. Kloosterman sum over a finite field can be viewed as the Walsh transforms of inverse function 1/x on the given the finite field. We give a survey on the connections between the above mentioned topics and the number of rational points of elliptic curves. Starting from the well known result of Lachaud and Wolfmann in 1990, we give a brief introduction on some recent results and progress.