Post-Quantum Security Of Ige Mode Encryption In Telegram

Jeeun Lee,Sungsook Kim,Seunghyun Lee,Kwangjo Kim

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES（2019）

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摘要

IGE mode used in Telegram's customized protocol has not been fully investigated in terms of post-quantum security. In this letter, we show that IGE mode is IND-qCPA insecure by Simon's algorithm, assuming that the underlying block cipher is a standard-secure pseudorandom function (sPRF). Under a stronger assumption that the block cipher is a quantum-secure pseudorandom function (qPRF), IND-qCPA security of IGE mode is proved using one-way to hiding lemma.

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关键词

IGE mode, IND-qCPA, quantum-accessible random oracle, standard/quantum-secure pseudorandom function

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