9004 Problems of information security. Computer systems Проблемы информационной безопасности. Компьютерные системы 2071-8217 11 10.48612/jisp/2m49-vg37-99pt Oblivious signature scheme based on isogenies of supersingular elliptic curves Схема забывчивой подписи, построенная на изогениях суперсингулярных эллиптических кривых 0000-0001-5494-7142 Khutsaeva Altana afkhutsaeva@itmo.ru 0000-0002-5544-2434 Davydov Vadim vvdavydov@guap.ru 0000-0002-0924-6221 Bezzateev Sergey sergey.bezzateev@gmail.com Saint Petersburg State University of Aerospace Instrumentation 25 12 2023 4 116 121

The proposed oblivious signature scheme 1-out-of-n messages based on the difficulty of finding isogenies between supersingular elliptic curves is a variety of Schnorr’s signature. The signature time of 10 messages takes 42,2 seconds. The signature scheme is aimed at solving problems related to maintaining privacy on the Internet

 digital signature oblivious signature scheme isogeny based cryptography