Efficient subquadratic space complexity binary polynomial multipliers based on block recombination

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2014-09-01

Author

Cenk, Murat
Negre, Christophe

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Some applications like cryptography involve a large number of multiplications of binary polynomial. In this paper we consider two, three and four-way methods for parallel implementation of binary polynomial multiplication. We propose optimized three and four-way split formulas which reduce the space and time complexity of the best known methods. Moreover, we present a block recombination method which provides some further reduction in the space complexity of the considered two, three and four-way split multipliers.

Subject Keywords

Block recombination, Binary field, Subquadratic space complexity, Two-way, three-way and four-way split formula, Binary polynomial multiplication

URI

https://hdl.handle.net/11511/31923

Journal

IEEE Transactions on Computers

DOI

https://doi.org/10.1109/tc.2013.105

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

M. Cenk and C. Negre, “Efficient subquadratic space complexity binary polynomial multipliers based on block recombination,” IEEE Transactions on Computers, pp. 2273–2287, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31923.