CryptoDB
Faster Multi-Exponentiation through Caching: Accelerating (EC)DSA Signature Verification
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Abstract: | We consider the task of computing power products $\prod_{1 \leq i \leq k} g_i^{e_i}$ ("multi-exponentiation") where base elements $g_2, ..., g_k$ are fixed while $g_1$ is variable between multi-exponentiations but may repeat, and where the exponents are bounded (e.g., in a finite group). We present a new technique that entails two different ways of computing such a result. The first way applies to the first occurrence of any $g_1$ where, besides obtaining the actual result, we create a cache entry based on $g_1$, investing very little memory or time overhead. The second way applies to any multi-exponentiation once such a cache entry exists for the $g_1$ in question: the cache entry provides for a significant speed-up. Our technique is useful for ECDSA or DSA signature verification with common domain parameters and recurring signers. |
BibTeX
@misc{eprint-2007-13750, title={Faster Multi-Exponentiation through Caching: Accelerating (EC)DSA Signature Verification}, booktitle={IACR Eprint archive}, keywords={implementation / Efficient implementation, elliptic curve cryptography, ECDSA verification, exponentiation, DSA verification}, url={http://eprint.iacr.org/2007/470}, note={ bmoeller@acm.org 13866 received 15 Dec 2007, last revised 19 Dec 2007}, author={Bodo M?ller and Andy Rupp}, year=2007 }