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Combining leak-resistant arithmetic for elliptic curves defined over Fp and RNS representation.

, , and . IACR Cryptology ePrint Archive, (2010)

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Memory-saving computation of the pairing final exponentiation on BN curves., and . Groups Complexity Cryptology, 8 (1): 75-90 (2016)Implementation of Pairings., and . Handbook of Elliptic and Hyperelliptic Curve Cryptography, Chapman and Hall/CRC, (2005)Efficient Pairings Computation on Jacobi Quartic Elliptic Curves., , and . IACR Cryptology ePrint Archive, (2013)Classification of genus 2 curves over F2n and optimization of their arithmetic., and . IACR Cryptology ePrint Archive, (2004)An Improvement of Optimal Ate Pairing on KSS Curve with Pseudo 12-Sparse Multiplication., , , , and . ICISC, volume 10157 of Lecture Notes in Computer Science, page 208-219. (2016)Finite Field Arithmetic in Large Characteristic for Classical and Post-quantum Cryptography.. WAIFI, volume 13638 of Lecture Notes in Computer Science, page 79-106. Springer, (2022)Solving 114-Bit ECDLP for a Barreto-Naehrig Curve., , , , , , , and . ICISC, volume 10779 of Lecture Notes in Computer Science, page 231-244. Springer, (2017)Updating Key Size Estimations for Pairings., and . J. Cryptol., 32 (4): 1298-1336 (2019)Efficient computation of pairings on Jacobi quartic elliptic curves., , and . J. Math. Cryptol., 8 (4): 331-362 (2014)Montgomery Ladder for All Genus 2 Curves in Characteristic 2.. WAIFI, volume 5130 of Lecture Notes in Computer Science, page 174-188. Springer, (2008)