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Hyperelliptic curve
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#	Item
71	Farm Animal Math Item 4651 Name _________________________ Farm Animal Math Add to Reading List Source URL: www.tlsbooks.com Language: English - Date: 2014-02-26 12:59:24 Differential geometry XTR Imaginary hyperelliptic curve Mathematics Mathematical analysis Polynomials
72	The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2009-07-20 09:53:46 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
73	THE PERIOD-INDEX PROBLEM IN WC-GROUPS III: BICONIC CURVES PETE L. CLARK Abstract. Add to Reading List Source URL: math.uga.edu Language: English - Date: 2008-11-18 23:12:39 Algebraic curves Vector bundles Algebraic surfaces Canonical bundle Riemann–Roch theorem Hyperelliptic curve Elliptic curve Ample line bundle Abelian variety Algebraic geometry Abstract algebra Geometry
74	The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-02-20 12:09:35 Quadratic forms Algebraic curves Field theory Polynomials Algebraic number theory Hyperelliptic curve Elliptic curve Algebraic number field Discriminant Abstract algebra Algebra Mathematics
75	ON THE IMPLEMENTATION OF PAIRING-BASED CRYPTOSYSTEMS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF COMPUTER SCIENCE AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2015-02-08 21:22:14 Pairing Weil pairing BLS Elliptic curve Digital signature Hyperelliptic curve XDH assumption Paulo S. L. M. Barreto Cryptography Abstract algebra Algebra
76	Relating the ECDLP to Other Curves Mark Bauer University of Calgary Department of Mathematics & Statistics Centre for Information Security and Cryptography Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-11-15 13:19:55 Finite fields Analysis of algorithms Asymptotic analysis Cryptography Analytic number theory Elliptic curve Ample line bundle Big O notation Hyperelliptic curve cryptography Abstract algebra Mathematics Mathematical analysis
77	. Variants of the Montgomery form based on Theta functions Pierrick Gaudry [removed] Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-11-15 13:29:11 Analytic number theory Elliptic curve Group theory Hyperelliptic curve cryptography Elliptic curve cryptography Cryptography Abstract algebra Elliptic curves
78	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
79	Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves Pradeep Kumar Mishra and Palash Sarkar Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Finite fields Computational complexity theory Elliptic curve cryptography Elliptic curves Elliptic curve Hyperelliptic curve cryptography Multiplication Time complexity Matrix Abstract algebra Mathematics Cryptography
80	Towards an exact cost analysis of index-calculus algorithms ECC 2006 Nicolas Thériault [removed] Fields Institute Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-09-22 13:16:31 Cryptography Elliptic curves Logarithms Discrete logarithm Hyperelliptic curve Hyperelliptic curve cryptography Counting points on elliptic curves Abstract algebra Finite fields Group theory