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 curvespoint multiplicationdivision 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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2009/586}},
      url = {https://eprint.iacr.org/2009/586}
}
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