@article{oai:u-ryukyu.repo.nii.ac.jp:02010198, author = {Hashimoto, Yasufumi}, journal = {Ryukyu mathematical journal}, month = {Dec}, note = {Until now, various multivariate public key cryptosystems (MPKCs) have been proposed but some of them are known to be insecure. In IMACC 2015 and Inscrypt 2015, Zhang and Tan proposed new variants of MPKCs for signatures to enhance the security of the original schemes. However, Zhang-Tan’s variants are much less secure than expected. In this paper, we describe an attack on Zhang-Tan’s variants to recover a public key of the original scheme., 紀要論文}, pages = {1--5}, title = {On the security of Zhang-Tan's variants of multivariate signature shemes}, volume = {31}, year = {2018} }