Algebraic curves defined over finite fields have long been a rich source of enquiry, bridging abstract algebra, geometry and number theory. Their automorphism groups, which consist of self-symmetries ...

Elliptic curves are among the more beguiling objects in modern mathematics. They don’t seem complicated, but they form an expressway between the math that many people learn in high school and research ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

This is a preview. Log in through your library . Abstract Abstract In this paper we investigate the relation between the number of rational points over a finite field 𝔽𝑝𝑛 on a family of higher ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 72, No. 9 (1975), pp. 3281-3284 (4 pages) Associated with some systems of unramified coverings of algebraic curves ...