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Precision
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11	Degree of Regularity for HFEv and HFEvJintai Ding 1 1? and Bo-Yin Yang Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2013-03-30 23:05:01 Algebra Mathematics Abstract algebra Algebraic geometry Computer algebra Multivariate cryptography Polynomials Commutative algebra Hidden Field Equations Grbner basis Quadratic form Quadratic function
12	Multivariate Cryptography Louis Goubin, Versailles St-Quentin-en-Yvelines University, France, Jacques Patarin, Versailles St-Quentin-en-Yvelines University, France, and Bo-Yin Yang, Institute of Information Science, Acad Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2013-03-31 09:28:56 Cryptography Multivariate cryptography Post-quantum cryptography Algebra Polynomials Unbalanced Oil and Vinegar Hidden Field Equations Algebraic equation QUAD Variable Equation Finite field
13	Certification of a Numerical Result: Use of Interval Arithmetic and Multiple Precision Hong Diep Nguyen and Nathalie Revol INRIA Universit´e de Lyon Laboratoire LIP (UMR 5668 CNRS - ENS Lyon - INRIA - UCBL) Add to Reading List Source URL: perso.ens-lyon.fr Language: English - Date: 2010-12-09 10:22:15 Numerical analysis Mathematics Applied mathematics Iterative refinement Iterative method Interval arithmetic Newton's method Condition number Residual Root-finding algorithm Affine arithmetic
14	Operating Degrees for XL vs. F4/F5 for Generic MQ with Number of Equations Linear in That of Variables Jenny Yuan-Chun Yeh, Chen-Mou Cheng, and Bo-Yin Yang Academia Sinica, Taipei, Taiwan {jenny,doug,by}@crypto.tw Abstra Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2013-10-06 15:47:59 Algebra Mathematics Computer algebra Algebraic geometry Commutative algebra Linear algebra Determinants Faugre's F4 and F5 algorithms Grbner basis Overdetermined system Buchberger's algorithm Matrix
15	HMFEv - An Eﬃcient Multivariate Signature Scheme Albrecht Petzoldt1(B) , Ming-Shing Chen2 , Jintai Ding3 , and Bo-Yin Yang2 1 National Institute for Standards and Technology, Gaithersburg, MD, USA Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2018-03-14 01:35:29 Cryptography Multivariate cryptography Post-quantum cryptography Hidden Field Equations Unbalanced Oil and Vinegar QUAD Quadratic form Digital signature Quadratic function XSL attack
16	Certified Verification of Algebraic Properties on LowLevel Mathematical Constructs in Cryptographic Programs Ming-Hsien Tsai Bow-Yaw Wang Bo-Yin Yang Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2018-03-14 01:29:40
17	GAnGS: Gather, Authenticate ’n Group Securely ∗ Chia-Hsin Owen Chen† , Chung-Wei Chen‡ , Cynthia Kuo§ , Yan-Hao Lai∗ , Jonathan M. McCune§ , Ahren Studer§⋄ , Adrian Perrig§ , Bo-Yin Yang† , Tzong-Chen Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2011-03-20 04:03:38 Group theory Algebra Abstract algebra Geometry N-group Bluetooth Subgroup Formation Index of a subgroup
18	SPATE: Small-group PKI-less Authenticated Trust Establishment ∗ Yue-Hsun Lin† Ahren Studer§ Hsu-Chun Hsiao§ Jonathan M. McCune§ King-Hang Wang† Maxwell Krohn§ Phen-Lan Lin◦ Adrian Perrig§ Hung-Min Sun† Bo- Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2011-03-20 04:03:39 Computing Information and communications technology Technology Bluetooth Wireless Computer security Computer network SMS Password Dropbox Gmail Email
19	ECM on Graphics Cards Daniel J. Bernstein1 , Tien-Ren Chen2 , Chen-Mou Cheng3 , Tanja Lange4 , and Bo-Yin Yang2 1 Department of Computer Science University of Illinois at Chicago, Chicago, IL 60607–7045, USA Add to Reading List Source URL: precision.moscito.org Language: English - Date: 2011-03-20 04:03:43 Video cards Computer architecture Computing Graphics hardware CUDA GeForce Graphics processing unit Nvidia GeForce 500 series GeForce 400 series
20	What is iterative refinement How to use iterative refinement to verify a computed result? Influence of the computing precision Conclusion and future work Iterative refinement: Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2010-07-21 10:31:16 Mathematical analysis Numerical analysis Mathematics Numerical linear algebra Root-finding algorithms Iterative refinement Residual Newton's method Pi Approximations of Gradient descent Mathematical optimization