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Article Dans Une Revue IEEE Transactions on Computers Année : 2012

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

Résumé

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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hal-00813698 , version 1 (16-04-2013)

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