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Block Recombination Approach for Subquadratic Space Complexity Binary Field Multiplication based on Toeplitz Matrix-Vector Product

Abstract : In this paper, we present a new method for parallel binary finite field multiplication which results in subquadratic space complexity. The method is based on decomposing the building blocks of the Fan-Hasan subquadratic Toeplitz matrix-vector multiplier. We reduce the space complexity of their architecture by recombining the building blocks. In comparison to other similar schemes available in the literature, our proposal presents a better space complexity while having the same time complexity. We also show that block recombination can be used for efficient implementation of the GHASH function of Galois Counter Mode (GCM).
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https://hal.archives-ouvertes.fr/hal-00813698
Contributor : Christophe Negre <>
Submitted on : Tuesday, April 16, 2013 - 10:22:30 AM
Last modification on : Wednesday, June 20, 2018 - 3:20:01 PM

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Anwar Hasan, Nicolas Méloni, Ashkan Namin, Christophe Negre. Block Recombination Approach for Subquadratic Space Complexity Binary Field Multiplication based on Toeplitz Matrix-Vector Product. IEEE Transactions on Computers, Institute of Electrical and Electronics Engineers, 2012, 61 (2), pp.151-163. ⟨10.1109/TC.2010.276⟩. ⟨hal-00813698⟩

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