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2020•Unpublished venueRequires access

SIT: Supersingular Isogeny Tree-based Group Key Exchange

Hector B. Hougaard, Atsuko Miyaji

Open publisher page 5 citations

Abstract

We present the first constant-round, tree-based, group key exchange protocol based on SIDH with logarithmic communication and memory complexity, where the only previous isogeny-based group key exchanges have linear communication and memory complexity. We show that our protocol satisfies post-quantum security through a reduction to the Supersingular Decisional Diffie-Hellman (SSDDH) problem in the G-CK(plus) security model.

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What this paper is about

We present the first constant-round, tree-based, group key exchange protocol based on SIDH with logarithmic communication and memory complexity, where the only previous isogeny-based group key exchanges have linear communication and memory complexity. We show that our protocol satisfies post-quantum security through a reduction to the Supersingular Decisional Diffie-Hellman (SSDDH) problem in the G-CK(plus) security model.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We present the first constant-round, tree-based, group key exchange protocol based on SIDH with logarithmic communication and memory complexity, where the only previous isogeny-based group key exchanges have linear communication and memory complexity. We show that our protocol satisfies post-quantum security through a reduction to the Supersingular Decisional Diffie-Hellman (SSDDH) problem in the G-CK(plus) security model.

Key concepts: Isogeny, Key exchange, Computer science, Group key, Key (lock), Cryptography, Tree (set theory), Reduction (mathematics)

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