@article{oai:tsukuba.repo.nii.ac.jp:00027062,
 author = {金山, 直樹 and 岡本, 栄司 and Kanayama, Naoki and Okamoto, Eiji},
 issue = {2},
 journal = {IEEE transactions on information theory},
 month = {Feb},
 note = {In the present paper, we show that the pairing
inversion problem of Atei pairing can be solved under the
assumption that we have a generic algorithm for solving “exponentiation
inversion” problem. With such an algorithm, the
inversion problem of Atei pairing can be solved without solving
the Miller inversion. Thus, the pairing inversion problem of Atei
pairing is reduced to the exponentiation inversion problem.},
 pages = {1248--1253},
 title = {Approach to pairing inversions without solving Miller inversion},
 volume = {58},
 year = {2012}
}