Paper 2010/142 Original: eprint.iacr.org/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
Preprint.
History
2010-03-16: last updated
2010-03-16: published
Short URL
https://ia.cr/2010/142
License
https://creativecommons.org/licenses/by/4.0/

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}
}
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