[Resource Topic] 2018/523: Reducing Complexity of Pairing Comparisons using Polynomial Evaluation

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Title:
Reducing Complexity of Pairing Comparisons using Polynomial Evaluation

Authors: Adam Bobowski, Marcin Słowik

Abstract:

We propose a new method for reducing complexity of the pairing comparisons based on polynomials. Thought the construction introduces uncertainty into (usually deterministic) checks, it is easily quantifiable and in most cases extremely small. The application to CL-LRSW signature verification under n messages and group order q allows to reduce the number of computed pairings from 4n down to just 4, while the introduced uncertainty is just (2n-1)/q.

ePrint: https://eprint.iacr.org/2018/523

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