A mean value formula for elliptic curves

Rongquan Feng; Hongfeng Wu

Paper 2009/586

A mean value formula for elliptic curves

Rongquan Feng and 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 PS
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curves point multiplication division polynomial
Contact author(s): whfmath @ gmail com
History: 2010-07-16: last of 5 revisions; 2009-12-04: received; See all versions
Short URL: https://ia.cr/2009/586
License: CC BY

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}
}