Mean value formulas for twisted Edwards curves

Dustin Moody

Paper 2010/142

Mean value formulas for twisted Edwards curves

Dustin Moody

Abstract

R. Feng, and H. Wu recently established a certain mean-value formula for the x-coordinates of the n-division points on an elliptic curve given in Weierstrass form (A mean value formula for elliptic curves, 2010, available at http://eprint.iacr.org/2009/586.pdf ). We prove a similar result for both the x and y-coordinates on a twisted Edwards elliptic curve.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve Edwards curves mean value
Contact author(s): dmoody @ ucalgary ca
History: 2010-03-16: received
Short URL: https://ia.cr/2010/142
License: CC BY

BibTeX

@misc{cryptoeprint:2010/142,
      author = {Dustin Moody},
      title = {Mean value formulas for twisted Edwards curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/142},
      year = {2010},
      url = {https://eprint.iacr.org/2010/142}
}