This paper introduces a new key establishment scheme aiming at
fully collusion-resistant identity-based symmetric-key agreement. In an identity-based pairwise key agreement scheme, a Trusted Third Party (TTP) manages the system and securely provides any node, e.g., Alice or Bob, with private keying materials. Alice can generate a pairwise key with Bob given her own secret keying material and Bob's identity. The full collusion resistance property would ensure that the scheme remains secure even if arbitrarily many devices collude or are compromised.
Our scheme, the HIMMO algorithm, relies on two design concepts: Hiding Information and Mixing Modular Operations. Hiding information is related to the Noisy Interpolation Problem; the Mixing Modular Operations problem seems to be a new hard problem. We describe our scheme, the security of its underlying design principles and give order of magnitude estimations for secure configuration parameters. For these parameters, we show that our prototypic implementation of HIMMO on the 8-bit CPU ATmega128L can generate 128-bit keys in less than 7 ms based on an algorithm fitting in 428 B and with secret keying materials of size 656 B.
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