Estimating the Size of the Image of Deterministic Hash Functions to Elliptic Curves
نویسندگان
چکیده
Let E be a non-supersingular elliptic curve over a finite field Fq. At CRYPTO 2009, Icart introduced a deterministic function Fq → E(Fq) which can be computed efficiently, and allowed him and Coron to define well-behaved hash functions with values in E(Fq). Some properties of this function rely on a conjecture which was left as an open problem in Icart’s paper. We prove this conjecture below as well as analogues for other hash functions.
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ورودعنوان ژورنال:
- IACR Cryptology ePrint Archive
دوره 2010 شماره
صفحات -
تاریخ انتشار 2010