# zbMATH — the first resource for mathematics

## Huang, Ming-Deh A.

Compute Distance To:
 Author ID: huang.ming-deh-a Published as: Huang, Ming-Deh; Huang, Ming-Deh A.
 Documents Indexed: 56 Publications since 1984, including 2 Books
all top 5

#### Co-Authors

 6 single-authored 13 Adleman, Leonard Max 7 Cheng, Qi 4 Wong, Yiu-Chung 3 Burhanuddin, Iftikhar A. 3 DeMarrais, Jonathan 3 Goel, Ashish 3 Kosters, Michiel 3 Liu, Lian 3 Narayanan, Anand Kumar 3 Rao, Ashwin J. 3 Raskind, Wayne 3 Yeo, Sze Ling 2 Ierardi, Doug 2 Kompella, Kireeti 1 Aggarwal, Alok 1 Chen, Ho-Lin 1 Chen, Hsing-Hau 1 Horng, Gwoboa 1 Kueh, Ka-Lam 1 Lieberherr, Karl J. 1 Luo, Qing 1 Moisset de Espanés, Pablo 1 Tan, Ki-Seng 1 Teng, Shang-Hua 1 Wasserman, Hal 1 Xing, Chaoping 1 Yang, Yun 1 Yun, Yang
all top 5

#### Serials

 5 Journal of Algorithms 5 Journal of Symbolic Computation 3 Information and Computation 2 Theoretical Computer Science 2 Finite Fields and their Applications 1 Mathematics of Computation 1 Journal of Number Theory 1 SIAM Journal on Computing 1 Journal of Complexity 1 Algorithmica 1 Computational Complexity 1 LMS Journal of Computation and Mathematics 1 Lecture Notes in Computer Science 1 Lecture Notes in Mathematics 1 Journal of Mathematical Cryptology 1 Journal of Numbers
all top 5

#### Fields

 36 Number theory (11-XX) 28 Computer science (68-XX) 16 Information and communication theory, circuits (94-XX) 13 Algebraic geometry (14-XX) 8 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 2 Combinatorics (05-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 296 times in 219 Documents Cited by Year
Running time and program size for self-assembled squares. Zbl 1323.68267
Adleman, Leonard; Cheng, Qi; Goel, Ashish; Huang, Ming-Deh
2001
Quantum computability. Zbl 0895.68043
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh A.
1997
A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields. Zbl 0829.11068
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh
1994
Primality testing and Abelian varieties over finite fields. Zbl 0744.11065
Adleman, Leonard M.; Huang, Ming-Deh A.
1992
Function field sieve method for discrete logarithms over finite fields. Zbl 1006.11078
Adleman, Leonard M.; Huang, Ming-Deh A.
1999
Invadable self-assembly: combining robustness with efficiency. Zbl 1318.68082
Chen, Ho-Lin; Cheng, Qi; Goel, Ashish; Huang, Ming-Deh; de Espanés, Pablo Moisset
2004
Counting points on curves over finite fields. Zbl 0919.11046
Huang, Ming-Deh; Ierardi, Doug
1998
Linear self-assemblies: Equilibria, entropy and convergence rates. Zbl 1060.92002
Adleman, Leonard; Cheng, Q.; Goel, Ashish; Huang, Ming-Deh; Wasserman, Hal
2004
Efficient algorithms for the Riemann-Roch problem and for addition in the Jacobian of a curve. Zbl 0842.68041
Huang, Ming-Deh; Ierardi, Doug
1994
Counting points on curves and Abelian varieties over finite fields. Zbl 0986.11039
2001
Generalized Riemann hypothesis and factoring polynomials over finite fields. Zbl 0731.11067
Huang, Ming-Deh A.
1991
Last fall degree, HFE, and Weil descent attacks on ECDLP. Zbl 1375.94135
Huang, Ming-Deh A.; Kosters, Michiel; Yeo, Sze Ling
2015
Efficient checkers for number-theoretic computations. Zbl 0840.11053
Adleman, Leonard M.; Huang, Ming-Deh; Kompella, Kireeti
1995
Implications of forbidden structures for extremal algorithmic problems. Zbl 0603.68041
Huang, Ming-Deh A.; Lieberherr, Karl J.
1985
Counting rational points on curves and abelian varieties over finite fields. Zbl 0898.11045
Adleman, Leonard M.; Huang, Ming-Deh A.
1996
A subexponential algorithm for discrete logarithms over hyperelliptic curves of large genus over $$\text{GF}(q)$$. Zbl 1007.11080
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh
1999
On the last fall degree of zero-dimensional Weil descent systems. Zbl 1391.13052
Huang, Ming-Deh A.; Kosters, Michiel; Yang, Yun; Yeo, Sze Ling
2018
Solvability of systems of polynomial congruences modulo a large prime. Zbl 0977.11054
Huang, Ming-Deh; Wong, Yiu-Chung
1999
Factoring polynomials over finite fields and stable colorings of tournaments. Zbl 1006.11084
Cheng, Qi; Huang, Ming-Deh A.
2000
Algorithmic number theory. 1st international symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994. Proceedings. Zbl 0802.00018
Adleman, Leonard M. (ed.); Huang, Ming-Deh (ed.)
1994
Constructing small generating sets for the multiplicative groups of algebras over finite fields. Zbl 1364.12010
Huang, Ming-Deh; Liu, Lian
2016
Quasi-subfield polynomials and the elliptic curve discrete logarithm problem. Zbl 1450.94036
Huang, Ming-Deh; Kosters, Michiel; Petit, Christophe; Yeo, Sze Ling; Yun, Yang
2020
Lifting elliptic curves and solving the elliptic curve discrete logarithm problem. Zbl 1067.94012
Huang, Ming-Deh A.; Kueh, Ka Lam; Tan, Ki-Seng
2000
Security, verifiability, and universality in distributed computing. Zbl 0709.68019
Huang, Ming-Deh A.; Teng, Shang-Hua
1990
Factorization of polynomials over finite fields and decomposition of primes in algebraic number fields. Zbl 0731.11068
Huang, Ming-Deh A.
1991
Global duality, signature calculus and the discrete logarithm problem. Zbl 1236.11110
2009
Elliptic curve torsion points and division polynomials. Zbl 1122.14025
Burhanuddin, Iftikhar A.; Huang, Ming-Deh A.
2005
Finding primitive elements in finite fields of small characteristic. Zbl 1418.11160
Huang, Ming-Deh; Narayanan, Anand Kumar
2015
An algorithm for approximate counting of points on algebraic sets over finite fields. Zbl 1066.11511
Huang, Ming-Deh; Wong, Yiu-Chung
1998
Interpolation of sparse multivariate polynomials over large finite fields with applications. Zbl 0939.12003
Huang, Ming-Deh A.; Rao, Ashwin J.
1999
Function field sieve method for discrete logarithms over finite fields. Zbl 1007.11079
1999
Extended Hilbert irreducibility and its applications. Zbl 0962.68076
Huang, Ming-Deh; Wong, Yiu-Chung
2000
Signature calculus and discrete logarithm problems. Zbl 1143.11363
2006
Partial lifting and the elliptic curve discrete logarithm problem. Zbl 1100.68022
Cheng, Qi; Huang, Ming-Deh
2006
Local duality and the discrete logarithm problem. Zbl 1270.11131
Huang, Ming-Deh
2011
Elliptic curves with large Shafarevich-Tate group. Zbl 1296.11056
Burhanuddin, Iftikhar A.; Huang, Ming-Deh A.
2013
Quasi-subfield polynomials and the elliptic curve discrete logarithm problem. Zbl 1450.94036
Huang, Ming-Deh; Kosters, Michiel; Petit, Christophe; Yeo, Sze Ling; Yun, Yang
2020
On the last fall degree of zero-dimensional Weil descent systems. Zbl 1391.13052
Huang, Ming-Deh A.; Kosters, Michiel; Yang, Yun; Yeo, Sze Ling
2018
Constructing small generating sets for the multiplicative groups of algebras over finite fields. Zbl 1364.12010
Huang, Ming-Deh; Liu, Lian
2016
Last fall degree, HFE, and Weil descent attacks on ECDLP. Zbl 1375.94135
Huang, Ming-Deh A.; Kosters, Michiel; Yeo, Sze Ling
2015
Finding primitive elements in finite fields of small characteristic. Zbl 1418.11160
Huang, Ming-Deh; Narayanan, Anand Kumar
2015
Elliptic curves with large Shafarevich-Tate group. Zbl 1296.11056
Burhanuddin, Iftikhar A.; Huang, Ming-Deh A.
2013
Local duality and the discrete logarithm problem. Zbl 1270.11131
Huang, Ming-Deh
2011
Global duality, signature calculus and the discrete logarithm problem. Zbl 1236.11110
2009
Signature calculus and discrete logarithm problems. Zbl 1143.11363
2006
Partial lifting and the elliptic curve discrete logarithm problem. Zbl 1100.68022
Cheng, Qi; Huang, Ming-Deh
2006
Elliptic curve torsion points and division polynomials. Zbl 1122.14025
Burhanuddin, Iftikhar A.; Huang, Ming-Deh A.
2005
Invadable self-assembly: combining robustness with efficiency. Zbl 1318.68082
Chen, Ho-Lin; Cheng, Qi; Goel, Ashish; Huang, Ming-Deh; de Espanés, Pablo Moisset
2004
Linear self-assemblies: Equilibria, entropy and convergence rates. Zbl 1060.92002
Adleman, Leonard; Cheng, Q.; Goel, Ashish; Huang, Ming-Deh; Wasserman, Hal
2004
Running time and program size for self-assembled squares. Zbl 1323.68267
Adleman, Leonard; Cheng, Qi; Goel, Ashish; Huang, Ming-Deh
2001
Counting points on curves and Abelian varieties over finite fields. Zbl 0986.11039
2001
Factoring polynomials over finite fields and stable colorings of tournaments. Zbl 1006.11084
Cheng, Qi; Huang, Ming-Deh A.
2000
Lifting elliptic curves and solving the elliptic curve discrete logarithm problem. Zbl 1067.94012
Huang, Ming-Deh A.; Kueh, Ka Lam; Tan, Ki-Seng
2000
Extended Hilbert irreducibility and its applications. Zbl 0962.68076
Huang, Ming-Deh; Wong, Yiu-Chung
2000
Function field sieve method for discrete logarithms over finite fields. Zbl 1006.11078
Adleman, Leonard M.; Huang, Ming-Deh A.
1999
A subexponential algorithm for discrete logarithms over hyperelliptic curves of large genus over $$\text{GF}(q)$$. Zbl 1007.11080
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh
1999
Solvability of systems of polynomial congruences modulo a large prime. Zbl 0977.11054
Huang, Ming-Deh; Wong, Yiu-Chung
1999
Interpolation of sparse multivariate polynomials over large finite fields with applications. Zbl 0939.12003
Huang, Ming-Deh A.; Rao, Ashwin J.
1999
Function field sieve method for discrete logarithms over finite fields. Zbl 1007.11079
1999
Counting points on curves over finite fields. Zbl 0919.11046
Huang, Ming-Deh; Ierardi, Doug
1998
An algorithm for approximate counting of points on algebraic sets over finite fields. Zbl 1066.11511
Huang, Ming-Deh; Wong, Yiu-Chung
1998
Quantum computability. Zbl 0895.68043
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh A.
1997
Counting rational points on curves and abelian varieties over finite fields. Zbl 0898.11045
Adleman, Leonard M.; Huang, Ming-Deh A.
1996
Efficient checkers for number-theoretic computations. Zbl 0840.11053
Adleman, Leonard M.; Huang, Ming-Deh; Kompella, Kireeti
1995
A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields. Zbl 0829.11068
Adleman, Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh
1994
Efficient algorithms for the Riemann-Roch problem and for addition in the Jacobian of a curve. Zbl 0842.68041
Huang, Ming-Deh; Ierardi, Doug
1994
Algorithmic number theory. 1st international symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994. Proceedings. Zbl 0802.00018
1994
Primality testing and Abelian varieties over finite fields. Zbl 0744.11065
Adleman, Leonard M.; Huang, Ming-Deh A.
1992
Generalized Riemann hypothesis and factoring polynomials over finite fields. Zbl 0731.11067
Huang, Ming-Deh A.
1991
Factorization of polynomials over finite fields and decomposition of primes in algebraic number fields. Zbl 0731.11068
Huang, Ming-Deh A.
1991
Security, verifiability, and universality in distributed computing. Zbl 0709.68019
Huang, Ming-Deh A.; Teng, Shang-Hua
1990
Implications of forbidden structures for extremal algorithmic problems. Zbl 0603.68041
Huang, Ming-Deh A.; Lieberherr, Karl J.
1985
all top 5

#### Cited by 325 Authors

 11 Summers, Scott M. 10 Gaudry, Pierrick 8 Yakaryılmaz, Abuzer 7 Huang, Ming-Deh A. 7 Patitz, Matthew J. 7 Winslow, Andrew 6 Reif, John H. 6 Schweller, Robert T. 5 Brun, Yuriy 5 Nishimura, Harumichi 5 Say, A. C. Cem 4 Chen, Ho-Lin 4 Deng, Yingpu 4 Enge, Andreas 4 Furcy, David 4 Gutin, Gregory Z. 4 Sahu, Sudheer 4 Sarkar, Palash 4 Seki, Shinnosuke 4 Yeo, Anders 3 Benatti, Fabio 3 Doty, David 3 Faugère, Jean-Charles 3 Galbraith, Steven D. 3 Kundeti, Vamsi Krishna 3 Menezes, Alfred J. 3 Ozawa, Masanao 3 Rajasekaran, Sanguthevar 3 Rubinfeld, Ronitt 3 Stein, Andreas 3 Winfree, Erik 3 Yamakami, Tomoyuki 3 Yin, Peng 2 Abelard, Simon 2 Adleman, Leonard Max 2 Barbulescu, Razvan 2 Cheng, Qi 2 Crowston, Robert 2 Dimitrijevs, Maksims 2 Fekete, Sándor P. 2 Fortnow, Lance J. 2 Geraci, Joseph 2 Gürel, Nicolas 2 Harvey, David I. 2 Hashimoto, Yasufumi 2 Ivanyos, Gábor 2 Joux, Antoine 2 Kari, Lila 2 Karpinski, Marek 2 Kosters, Michiel 2 Lipton, Richard J. 2 Liu, Mulan 2 Luhrs, Chris 2 Maurer, Ueli M. 2 Nart, Enric 2 Paulus, Sachar Manfred 2 Reishus, Dustin 2 Renault, Guénaël 2 Rogers, Trent A. 2 Saxena, Nitin 2 Scheder, Dominik 2 Scheidler, Renate 2 Schost, Éric 2 Smart, Nigel P. 2 Teske, Edlyn 2 Thériault, Nicolas 2 Thomé, Emmanuel 2 von zur Gathen, Joachim 2 Wylie, Tim 2 Xu, Zhi 2 Yeo, Sze Ling 2 Zenil, Hector 1 Aaronson, Scott 1 Adj, Gora 1 Anderson, Greg W. 1 Angelov, Stanislav 1 Arnold, Andrew 1 Arora, Manuel 1 Arrighi, Pablo 1 Arvind, Vikraman 1 Bach, Eric 1 Barbosa, Valmir Carneiro 1 Baryshnikov, Yuliy M. 1 Basiri, Abdolali 1 Beaudry, Martin 1 Becerra, N. 1 Becker, Aaron T. 1 Becker, Florent 1 Bernardini, Francesco 1 Bernstein, Daniel Julius 1 Berrizbeitia, Pedro 1 Biasse, Jean-François 1 Blum, Manuel 1 Boneh, Dan 1 Bordihn, Henning 1 Bos, Joppe W. 1 Bottoni, Paolo 1 Boykin, P. Oscar 1 Brijder, Robert 1 Buhrman, Harry ...and 225 more Authors
all top 5

#### Cited in 55 Serials

 23 Theoretical Computer Science 18 Mathematics of Computation 18 Natural Computing 15 Algorithmica 10 Finite Fields and their Applications 9 Journal of Symbolic Computation 7 Journal of Cryptology 5 Information Processing Letters 5 International Journal of Foundations of Computer Science 4 Journal of Number Theory 4 Journal of Complexity 4 Information and Computation 4 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Computer and System Sciences 3 Designs, Codes and Cryptography 3 Experimental Mathematics 3 Journal of Mathematical Cryptology 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 SIAM Journal on Computing 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Quantum Information Processing 2 Mathematics in Computer Science 2 Advances in Mathematics of Communications 2 Logical Methods in Computer Science 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Reviews of Modern Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Journal of Computer Science and Technology 1 Facta Universitatis. Series Mathematics and Informatics 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Complexity 1 Open Systems & Information Dynamics 1 Soft Computing 1 International Journal of Communication Systems 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics 1 International Journal of Quantum Information 1 Journal of Physics A: Mathematical and Theoretical 1 Cryptography and Communications 1 RAIRO. Theoretical Informatics and Applications 1 JSIAM Letters 1 Journal of Numbers
all top 5

#### Cited in 24 Fields

 128 Computer science (68-XX) 87 Number theory (11-XX) 58 Information and communication theory, circuits (94-XX) 48 Algebraic geometry (14-XX) 27 Quantum theory (81-XX) 17 Combinatorics (05-XX) 11 Commutative algebra (13-XX) 8 Biology and other natural sciences (92-XX) 7 Field theory and polynomials (12-XX) 5 Numerical analysis (65-XX) 4 Mathematical logic and foundations (03-XX) 4 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX)