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Company 3M / Intel / / Country Canada / Korea / / Currency USD / / / Facility Pohang University of Science / library of GMP / University of Waterloo / GMP library / Harvard University / / IndustryTerm asymmetric squaring algorithms / sub-quadratic multiplication algorithm / off-diagonal products / schoolbook squaring algorithm / real world applications / sub-quadratic multiplication algorithms / dot product / multiplication algorithm / asymmetric algorithms / computing / symmetric algorithms / theoretic transform-based multiplication algorithms / 5way algorithm / symmetric squaring algorithms / multiplication algorithms / / Movie D. V / / OperatingSystem Linux / GNU / / Organization Harvard University / National Science Foundation / University of Waterloo / Society for Industrial and Applied Mathematics / Department of Electrical and Computer Engineering / Natural Science and Engineering Research Council of Canada / Pohang University of Science and Technology / / Person Paul Zimmermann / M. Anwar Hasan / / Position Prime Minister / / Product T10 / / ProgrammingLanguage C / L / / ProvinceOrState Ontario / / PublishedMedium IEEE Transactions on Computers / Journal of Cryptology / / Technology sub-quadratic multiplication algorithm / 1.26 4.15 4.42 10.72 14.38 16.29 22.02 Algorithm / multiplication algorithms / 1 Toom-Cook Multiplication Algorithm / 5way algorithm / Linux / ToomCook multiplication algorithm / ToomCook algorithms / improved algorithm / ing algorithm / symmetric squaring algorithms / squaring algorithms / Toom-Cook multiplication algorithm / sub-quadratic multiplication algorithms / Toom-Cook multiplication algorithms / pdf / two algorithms / schoolbook squaring algorithm / cryptography / asymmetric squaring algorithms / public key / Toom-Cook algorithm / 2007 Algorithm / multiplication algorithm / theoretic transform-based multiplication algorithms / squaring algorithm / Karatsuba algorithm / known multiplication algorithms / known squaring algorithms / ToomCook algorithm / / URL http / SocialTag 
Asymmetric Squaring Formulae∗ Jaewook Chung†and M. Anwar Hasan [removed] and [removed] Department of Electrical and Computer Engineering, University of Waterloo, Ontario, Canada