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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
Publication Date: 2019/01/01
Online ISSN: 1745-1337
Type of Manuscript: Special Section LETTER (Special Section on Cryptography and Information Security)
IGE mode, IND-qCPA, quantum-accessible random oracle, standard/quantum-secure pseudorandom function,
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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.