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Extending the GLS endomorphism to speed up GHS Weil descent using Magma
Affiliation:1. Cryptography Research Centre, Technology Innovation Institute, Abu Dhabi, United Arab Emirates;2. Computer Science Department, Center for Research and Advanced Studies of the National Polytechnic Institute of Mexico (Cinvestav - IPN), Mexico City, Mexico;3. Inria and Laboratoire d''Informatique de l''École polytechnique (LIX), Institut Polytechnique de Paris, Palaiseau, France;1. Department of Mathematics, Colorado State University, Fort Collins, CO 80523, USA;2. Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14260, USA;3. Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA;1. Department of Computer Science, Shizuoka University, Hamamatsu 432-8011, Japan;2. Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan;1. Department of Mathematical Sciences, University of Delaware, Newark, DE, USA;2. Department of Informatics, University of Bergen, Bergen, Norway;3. Department of Mathematics, University of Trento, Trento, Italy
Abstract:
Keywords:GHS Weil descent  Extended GLS endomorphism  Index-calculus algorithm
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