Paper 2013/548
Decomposition formula of the Jacobian group of plane curve
Koh-ichi Nagao
Abstract
We give an algorithm for decomposing given element of Jacobian gruop into the sum of the decomposed factor, which consists of certain subset of the points of curve.
Note: Revise the mistypes of important formulas. For example, in $4 definition of g_i(A_1,...;X_1,...) include mistype ('-' is replaced by '='), in $5, in the definitions of $S_i$, the variables$X_i$ must be replaced by $A_i$. One is
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- Decomposition AttackECDLP
- Contact author(s)
- nagao @ kanto-gakuin ac jp
- History
- 2013-12-13: last of 3 revisions
- 2013-09-04: received
- See all versions
- Short URL
- https://ia.cr/2013/548
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2013/548, author = {Koh-ichi Nagao}, title = {Decomposition formula of the Jacobian group of plane curve}, howpublished = {Cryptology {ePrint} Archive, Paper 2013/548}, year = {2013}, url = {https://eprint.iacr.org/2013/548} }