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Polynomial Ring Transforms for Efficient XOR-based Erasure Coding

Detchart, Jonathan and Lacan, Jérôme Polynomial Ring Transforms for Efficient XOR-based Erasure Coding. (2017) In: IEEE International Symposium on Information Theory (ISIT 2017), 25 June 2017 - 30 June 2017 (Aachen, Germany).

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Official URL: http://dx.doi.org/10.1109/ISIT.2017.8006599

Abstract

The complexity of software implementations of MDS erasure codes mainly depends on the efficiency of the finite field operations implementation. In this paper, we propose a method to reduce the complexity of the finite field multiplication by using simple transforms between a field and a ring to perform the multiplication in a ring. We show that moving to a ring reduces the complexity of the operations. Then, we show that this construction allows the use of simple scheduling to reduce the number of operations

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). This paper is available at : http://ieeexplore.ieee.org/document/8006599/?reload=true “© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-01697211
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited By: Jérôme Lacan
Deposited On:24 Jan 2018 10:34

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