A mean value formula for elliptic curves

Rongquan Feng; Hongfeng Wu

Paper 2009/586 Original: eprint.iacr.org/2009/586 ↗

A mean value formula for elliptic curves

Rongquan Feng

Hongfeng Wu

Abstract

It is proved in this paper that for any point on an elliptic curve, the mean value of $x$-coordinates of its $n$-division points is the same as its $x$-coordinate and the mean value of $y$-coordinates of its $n$-division points is the $n$ times of its $y$-coordinate.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2010-07-16: last updated; 2009-12-04: published
Short URL: https://ia.cr/2009/586
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/586,
      author = {Rongquan Feng and Hongfeng Wu},
      title = {A mean value formula for elliptic curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/586},
      year = {2009},
      url = {https://eprint.iacr.org/2009/586}
}