@article{oai:chuo-u.repo.nii.ac.jp:00003807, author = {MIURA, Shinji and SEKIGUCHI, Tsutomu}, journal = {中央大学理工学研究所論文集}, month = {Mar}, note = {application/pdf, In the previous paper [3], we proposed to use the Picard group of the plane model, which is so-called Cab model admitting singularities, of a curve of any genus for realizing a faster addition algorithm on the Jacobian group of the curve. In the paper, we present the explicit addition algorithm on the Picard group of a Cab curve from the geometric view point, which will give a generalization of Cantor’s algorithm on the Jacobian group of a hyperelliptic curves and a supplement of the argument given in [4].}, pages = {1--18}, title = {GEOMETRIC ASPECTS OF THE ADDITION ALGORITHM ON THE PICARD GROUP OF A Cab CURVE}, volume = {17}, year = {2012} }