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Avoiding Full Extension Field Arithmetic in Pairing Computations.

, , , и . AFRICACRYPT, том 6055 из Lecture Notes in Computer Science, стр. 203-224. Springer, (2010)

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George C Craig

Helmut Craigher

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Jürgen Craig-Müller

Stephen-John Craig

 

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FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime., и . IACR Cryptology ePrint Archive, (2015)Computing Supersingular Isogenies on Kummer Surfaces.. ASIACRYPT (3), том 11274 из Lecture Notes in Computer Science, стр. 428-456. Springer, (2018)High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition., , , и . CHES, том 8086 из Lecture Notes in Computer Science, стр. 331-348. Springer, (2013)Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem., , и . EUROCRYPT (1), том 12696 из Lecture Notes in Computer Science, стр. 272-301. Springer, (2021)Avoiding Full Extension Field Arithmetic in Pairing Computations., , , и . AFRICACRYPT, том 6055 из Lecture Notes in Computer Science, стр. 203-224. Springer, (2010)Complete Addition Formulas for Prime Order Elliptic Curves., , и . EUROCRYPT (1), том 9665 из Lecture Notes in Computer Science, стр. 403-428. Springer, (2016)Efficient Algorithms for Supersingular Isogeny Diffie-Hellman., , и . CRYPTO (1), том 9814 из Lecture Notes in Computer Science, стр. 572-601. Springer, (2016)Delaying Mismatched Field Multiplications in Pairing Computations., , , и . WAIFI, том 6087 из Lecture Notes in Computer Science, стр. 196-214. Springer, (2010)The Case for SIKE: A Decade of the Supersingular Isogeny Problem.. IACR Cryptol. ePrint Arch., (2021)Constructing abelian surfaces for cryptography via Rosenhain invariants., , , и . LMS J. Comput. Math., 17 (Theory): 157-180 (2014)