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Dai, Zong-Duo

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Author ID: dai.zong-duo Recent zbMATH articles by "Dai, Zong-Duo"
Published as: Dai, Z.; Dai, Z. D.; Dai, Z.-D.; Dai, Zong Duo; Dai, Zong-Duo; Dai, Zongduo
Documents Indexed: 96 Publications since 1964, including 1 Book

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 233 times in 161 Documents Cited by Year
The Pythagoras number of some affine algebras and local algebras. Zbl 0499.12018
Choi, M. D.; Dai, Z. D.; Lam, T. Y.; Reznick, B.
27
1982
Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials. Zbl 0763.94007
Dai, Zong-Duo
22
1992
Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007
Huang, Minqiang; Dai, Zongduo
16
1992
Levels in algebra and topology. Zbl 0546.10017
Dai, Z. D.; Lam, T. Y.
12
1984
Lower bounds for the linear complexity of sequences over residue rings. Zbl 0764.94009
Dai, Zong-Duo; Beth, Thomas; Gollmann, Dieter
11
1991
Asymptotic behavior of normalized linear complexity of multi-sequences. Zbl 1145.94414
Dai, Zongduo; Imamura, Kyoki; Yang, Junhui
9
2005
Levels in algebra and topology. Zbl 0435.10016
Dai, Z. D.; Lam, T. Y.; Peng, C. K.
9
1980
Trace representation and linear complexity of binary \(e\)th power residue sequences of period \(p\). Zbl 1366.94446
Dai, Zongduo; Gong, Guang; Song, Hong-Yeop; Ye, Dingfeng
8
2011
Expected value of the linear complexity of two-dimensional binary sequences. Zbl 1145.94416
Feng, Xiutao; Dai, Zongduo
8
2005
A criterion for primitiveness of polynomials over \(\mathbb{Z}{}/(2^ d)\). Zbl 0739.11055
Dai, Zongduo; Huang, Minqiang
8
1991
A trace representation of binary Jacobi sequences. Zbl 1201.05015
Dai, Zongduo; Gong, Guang; Song, Hong-Yeop
7
2009
Liquid breakup at the surface of turbulent round liquid jets in still gases. Zbl 1136.76629
Sallam, K. A.; Dai, Z.; Faeth, G. M.
7
2002
Temporal properties of secondary drop breakup in the multimode breakup regime. Zbl 1137.76555
Dai, Z.; Faeth, G. M.
7
2001
Multi-continued fraction algorithm on multi-formal Laurent series. Zbl 1146.11036
Dai, Zongduo; Wang, Kunpeng; Ye, Dingfeng
6
2006
Multi-sequences with \(d\)-perfect property. Zbl 1075.68024
Feng, Xiutao; Wang, Quanlong; Dai, Zongduo
5
2005
Studies in finite geometries and the construction of incomplete block designs. IV: Some ’Anzahl’ theorems in orthogonal geometry over finite fields of characteristic \(\neq 2\). Zbl 0147.20002
Dai, Zongduo; Feng, Xuning
5
1965
Multi-continued fraction algorithm and generalized B-M algorithm over \(F_{2}\). Zbl 1145.94413
Dai, Zongduo; Feng, Xiutao; Yang, Junhui
4
2005
Cryptanalysis of “\(2R\)” schemes. Zbl 0940.94017
Ye, Ding-Feng; Lam, Kwok-Yan; Dai, Zongduo
4
1999
Continued fractions and the Berlekamp-Massey algorithm. Zbl 0749.41016
Dai, Zongduo; Zeng, Kencheng
4
1990
Studies in finite geometries and the construction of incomplete block designs. V: Some ’Anzahl’ theorems in orthogonal geometry over finite fields of characteristic 2. Zbl 0156.19602
Feng, Xuning; Dai, Zongduo
4
1965
On optimal simultaneous rational approximation to \((\omega ,\omega ^{2})^{\tau}\) with \(\omega \) being some kind of cubic algebraic function. Zbl 1143.41003
Wang, Quanlong; Wang, Kunpeng; Dai, Zongduo
3
2007
Multi-continued fraction algorithm and generalized B–M algorithm over \(\mathbb F_{q}\). Zbl 1107.94010
Dai, Zongduo; Yang, Junhui
3
2006
Decomposing attacks on asymmetric cryptography based on mapping compositions. Zbl 1021.94526
Ye, Dingfeng; Dai, Zongduo; Lam, Kwok-Yan
3
2001
Drop formation at the surface of plane turbulent liquid jets in still gases. Zbl 1137.76731
Sallam, K. A.; Dai, Z.; Faeth, G. M.
3
1999
Linear complexity of periodically repeated random sequences. Zbl 0766.94003
Dai, Zong-Duo; Yang, Jun-Hui
3
1991
Proof of Rueppel’s linear complexity conjecture. Zbl 0594.94025
Dai, Zong-Duo
3
1986
Multi-continued fraction algorithms and their applications to sequences. Zbl 1197.94170
Dai, Zongduo
2
2006
Asymptotic behavior of normalized linear complexity of ultimately nonperiodic binary sequences. Zbl 1194.94178
Dai, Zongduo; Jiang, Shaoquan; Imamura, Kyoki; Gong, Guang
2
2004
Partition, construction, and enumeration of M-P invertible matrices over finite fields. Zbl 0985.15003
Dai, Zongduo; Zhang, Yufeng
2
2001
Linear complexity for one-symbol substitution of a periodic sequence over \(\text{GF}(q)\). Zbl 0906.94013
Dai, Zongduo; Imamura, Kyoki
2
1998
Construction of \(m\)-ary de Bruijn sequences. (Extended abstract). Zbl 0868.94021
Yang, Junhui; Dai, Zongduo
2
1993
A relationship between the Berlekamp-Massey and the Euclidean algorithms for linear feedback shift register synthesis. Zbl 0825.94167
Dai, Zongduo; Wan, Zhexian
2
1988
On integral solutions of the equations \(x^{1/n}+y^1/n=z^{1/n}\), \(x^{m/n}+y^{m/n}=z^{m/n}\) and the degrees of \([\mathbb Q(p^{1/n}_1,p^{1/n}_2,\dots, p^{1/n}_r) :\mathbb Q]\). Zbl 0428.10011
Dai, Zongduo; Feng, Xuning; Yu, Kunrui
2
1979
The formulas for the coefficients of the sum and product of \(p\)-adic integers with applications to Witt vectors. Zbl 1263.11107
Xu, Kejian; Dai, Zhaopeng; Dai, Zongduo
1
2011
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series. Zbl 1180.11003
Dai, Zongduo; Wang, Ping; Wang, Kunpeng; Feng, Xiutao
1
2007
On the linear complexity of generalised Legendre sequence. Zbl 1029.94016
Dai, Zongduo; Yang, Junhui; Gong, Guang; Wang, Ping
1
2002
On interleaved sequences over finite fields. Zbl 1171.11306
Jiang, Shaoquan; Dai, Zongduo; Gong, Guang
1
2002
Attacks on two digital signature schemes based on error correcting codes. Zbl 1050.94538
Ye, Dingfeng; Yang, Junhui; Dai, Zongduo; Ou, Haiwen
1
2001
Linear complexity of a sequence obtained from a periodic sequence by either substituting, inserting, or deleting \(k\) symbols within one period. Zbl 1013.68156
Jiang, Shaoquan; Dai, Zongduo; Imamura, Kyoki
1
2000
An algorithm generating all invertible matrices without repetition. Zbl 0976.94023
Ou, Haiwen; Dai, Zongduo
1
1999
Generating all linear orthomorphisms without repetition. Zbl 1053.94551
Dai, Zongduo; Golomb, Solomon W.; Gong, Guang
1
1999
Self-injective rings and linear (weak) inverses of linear finite automata over rings. Zbl 0921.68061
Ou, Haiwen; Dai, Zongduo
1
1999
Weak invertibility of finite automata and cryptanalysis on FAPKC. Zbl 0930.94035
Dai, Zongduo; Ye, Dingfeng; Lam, Kwok Yan
1
1998
Construction of SAC permutations. Zbl 0955.11031
Gong, Guang; Dai, Zongduo
1
1997
Classification and enumeration of matched free response matrices of linear finite automata. Zbl 0881.68080
Dai, Zongduo; Ye, Dingfeng; Zhai, Qibin; Ou, Haiwen
1
1997
Weak invertibility of linear finite automata. I: Classification and enumeration of transfer functions. Zbl 0855.68063
Dai, Zongduo; Ye, Dingfeng
1
1996
Weak invertibility of linear finite automata over rings. Zbl 0846.68075
Dai, Zongduo; Ye, Dingfeng
1
1996
Nonlinear feedforward sequences of \(m\)-sequences. IV: The statistical properties of feedforward sequences. Zbl 1159.94356
Dai, Zongduo; Feng, Xuning; Liu, Mulan; Wan, Zhexian
1
1993
The estimation of the correlations of a class of binary sequences. Zbl 0475.05011
Dai, Zongduo; Ni, Luqun; Yang, Junhui; Chen, Wende
1
1980
Nonlinear shift registers. Zbl 0565.94026
Wan, Zhexian; Dai, Zongduo; Liu, Benlan; Feng, Xuning
1
1978
On transitivity of subspaces in orthogonal geometry over fields of characteristic 2. Zbl 0212.37301
Dai, Zongduo
1
1967
Trace representation and linear complexity of binary \(e\)th power residue sequences of period \(p\). Zbl 1366.94446
Dai, Zongduo; Gong, Guang; Song, Hong-Yeop; Ye, Dingfeng
8
2011
The formulas for the coefficients of the sum and product of \(p\)-adic integers with applications to Witt vectors. Zbl 1263.11107
Xu, Kejian; Dai, Zhaopeng; Dai, Zongduo
1
2011
A trace representation of binary Jacobi sequences. Zbl 1201.05015
Dai, Zongduo; Gong, Guang; Song, Hong-Yeop
7
2009
On optimal simultaneous rational approximation to \((\omega ,\omega ^{2})^{\tau}\) with \(\omega \) being some kind of cubic algebraic function. Zbl 1143.41003
Wang, Quanlong; Wang, Kunpeng; Dai, Zongduo
3
2007
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series. Zbl 1180.11003
Dai, Zongduo; Wang, Ping; Wang, Kunpeng; Feng, Xiutao
1
2007
Multi-continued fraction algorithm on multi-formal Laurent series. Zbl 1146.11036
Dai, Zongduo; Wang, Kunpeng; Ye, Dingfeng
6
2006
Multi-continued fraction algorithm and generalized B–M algorithm over \(\mathbb F_{q}\). Zbl 1107.94010
Dai, Zongduo; Yang, Junhui
3
2006
Multi-continued fraction algorithms and their applications to sequences. Zbl 1197.94170
Dai, Zongduo
2
2006
Asymptotic behavior of normalized linear complexity of multi-sequences. Zbl 1145.94414
Dai, Zongduo; Imamura, Kyoki; Yang, Junhui
9
2005
Expected value of the linear complexity of two-dimensional binary sequences. Zbl 1145.94416
Feng, Xiutao; Dai, Zongduo
8
2005
Multi-sequences with \(d\)-perfect property. Zbl 1075.68024
Feng, Xiutao; Wang, Quanlong; Dai, Zongduo
5
2005
Multi-continued fraction algorithm and generalized B-M algorithm over \(F_{2}\). Zbl 1145.94413
Dai, Zongduo; Feng, Xiutao; Yang, Junhui
4
2005
Asymptotic behavior of normalized linear complexity of ultimately nonperiodic binary sequences. Zbl 1194.94178
Dai, Zongduo; Jiang, Shaoquan; Imamura, Kyoki; Gong, Guang
2
2004
Liquid breakup at the surface of turbulent round liquid jets in still gases. Zbl 1136.76629
Sallam, K. A.; Dai, Z.; Faeth, G. M.
7
2002
On the linear complexity of generalised Legendre sequence. Zbl 1029.94016
Dai, Zongduo; Yang, Junhui; Gong, Guang; Wang, Ping
1
2002
On interleaved sequences over finite fields. Zbl 1171.11306
Jiang, Shaoquan; Dai, Zongduo; Gong, Guang
1
2002
Temporal properties of secondary drop breakup in the multimode breakup regime. Zbl 1137.76555
Dai, Z.; Faeth, G. M.
7
2001
Decomposing attacks on asymmetric cryptography based on mapping compositions. Zbl 1021.94526
Ye, Dingfeng; Dai, Zongduo; Lam, Kwok-Yan
3
2001
Partition, construction, and enumeration of M-P invertible matrices over finite fields. Zbl 0985.15003
Dai, Zongduo; Zhang, Yufeng
2
2001
Attacks on two digital signature schemes based on error correcting codes. Zbl 1050.94538
Ye, Dingfeng; Yang, Junhui; Dai, Zongduo; Ou, Haiwen
1
2001
Linear complexity of a sequence obtained from a periodic sequence by either substituting, inserting, or deleting \(k\) symbols within one period. Zbl 1013.68156
Jiang, Shaoquan; Dai, Zongduo; Imamura, Kyoki
1
2000
Cryptanalysis of “\(2R\)” schemes. Zbl 0940.94017
Ye, Ding-Feng; Lam, Kwok-Yan; Dai, Zongduo
4
1999
Drop formation at the surface of plane turbulent liquid jets in still gases. Zbl 1137.76731
Sallam, K. A.; Dai, Z.; Faeth, G. M.
3
1999
An algorithm generating all invertible matrices without repetition. Zbl 0976.94023
Ou, Haiwen; Dai, Zongduo
1
1999
Generating all linear orthomorphisms without repetition. Zbl 1053.94551
Dai, Zongduo; Golomb, Solomon W.; Gong, Guang
1
1999
Self-injective rings and linear (weak) inverses of linear finite automata over rings. Zbl 0921.68061
Ou, Haiwen; Dai, Zongduo
1
1999
Linear complexity for one-symbol substitution of a periodic sequence over \(\text{GF}(q)\). Zbl 0906.94013
Dai, Zongduo; Imamura, Kyoki
2
1998
Weak invertibility of finite automata and cryptanalysis on FAPKC. Zbl 0930.94035
Dai, Zongduo; Ye, Dingfeng; Lam, Kwok Yan
1
1998
Construction of SAC permutations. Zbl 0955.11031
Gong, Guang; Dai, Zongduo
1
1997
Classification and enumeration of matched free response matrices of linear finite automata. Zbl 0881.68080
Dai, Zongduo; Ye, Dingfeng; Zhai, Qibin; Ou, Haiwen
1
1997
Weak invertibility of linear finite automata. I: Classification and enumeration of transfer functions. Zbl 0855.68063
Dai, Zongduo; Ye, Dingfeng
1
1996
Weak invertibility of linear finite automata over rings. Zbl 0846.68075
Dai, Zongduo; Ye, Dingfeng
1
1996
Construction of \(m\)-ary de Bruijn sequences. (Extended abstract). Zbl 0868.94021
Yang, Junhui; Dai, Zongduo
2
1993
Nonlinear feedforward sequences of \(m\)-sequences. IV: The statistical properties of feedforward sequences. Zbl 1159.94356
Dai, Zongduo; Feng, Xuning; Liu, Mulan; Wan, Zhexian
1
1993
Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials. Zbl 0763.94007
Dai, Zong-Duo
22
1992
Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007
Huang, Minqiang; Dai, Zongduo
16
1992
Lower bounds for the linear complexity of sequences over residue rings. Zbl 0764.94009
Dai, Zong-Duo; Beth, Thomas; Gollmann, Dieter
11
1991
A criterion for primitiveness of polynomials over \(\mathbb{Z}{}/(2^ d)\). Zbl 0739.11055
Dai, Zongduo; Huang, Minqiang
8
1991
Linear complexity of periodically repeated random sequences. Zbl 0766.94003
Dai, Zong-Duo; Yang, Jun-Hui
3
1991
Continued fractions and the Berlekamp-Massey algorithm. Zbl 0749.41016
Dai, Zongduo; Zeng, Kencheng
4
1990
A relationship between the Berlekamp-Massey and the Euclidean algorithms for linear feedback shift register synthesis. Zbl 0825.94167
Dai, Zongduo; Wan, Zhexian
2
1988
Proof of Rueppel’s linear complexity conjecture. Zbl 0594.94025
Dai, Zong-Duo
3
1986
Levels in algebra and topology. Zbl 0546.10017
Dai, Z. D.; Lam, T. Y.
12
1984
The Pythagoras number of some affine algebras and local algebras. Zbl 0499.12018
Choi, M. D.; Dai, Z. D.; Lam, T. Y.; Reznick, B.
27
1982
Levels in algebra and topology. Zbl 0435.10016
Dai, Z. D.; Lam, T. Y.; Peng, C. K.
9
1980
The estimation of the correlations of a class of binary sequences. Zbl 0475.05011
Dai, Zongduo; Ni, Luqun; Yang, Junhui; Chen, Wende
1
1980
On integral solutions of the equations \(x^{1/n}+y^1/n=z^{1/n}\), \(x^{m/n}+y^{m/n}=z^{m/n}\) and the degrees of \([\mathbb Q(p^{1/n}_1,p^{1/n}_2,\dots, p^{1/n}_r) :\mathbb Q]\). Zbl 0428.10011
Dai, Zongduo; Feng, Xuning; Yu, Kunrui
2
1979
Nonlinear shift registers. Zbl 0565.94026
Wan, Zhexian; Dai, Zongduo; Liu, Benlan; Feng, Xuning
1
1978
On transitivity of subspaces in orthogonal geometry over fields of characteristic 2. Zbl 0212.37301
Dai, Zongduo
1
1967
Studies in finite geometries and the construction of incomplete block designs. IV: Some ’Anzahl’ theorems in orthogonal geometry over finite fields of characteristic \(\neq 2\). Zbl 0147.20002
Dai, Zongduo; Feng, Xuning
5
1965
Studies in finite geometries and the construction of incomplete block designs. V: Some ’Anzahl’ theorems in orthogonal geometry over finite fields of characteristic 2. Zbl 0156.19602
Feng, Xuning; Dai, Zongduo
4
1965
all top 5

Cited by 221 Authors

17 Qi, Wenfeng
13 Dai, Zong-Duo
8 Niederreiter, Harald
6 Wan, Zhexian
5 Fernando, José F.
5 Fu, Fangwei
5 Zhu, Xuanyong
4 Chen, Zhixiong
4 Tian, Tian
3 Chen, Fei
3 Du, Xiaoni
3 Hu, Lei
3 Hu, Zhi
3 Leep, David B.
3 Liao, Xiaofeng
3 Mahé, Louis
3 Meidl, Wilfried
3 Ruiz, Jesús M.
3 Scheiderer, Claus
3 Xu, Hong
3 Zheng, Qunxiong
3 Zhuravlev, Vladimir Georgievich
2 Caballero-Gil, Pino
2 Flaut, Cristina
2 Gong, Guang
2 Hu, Yong
2 Klapper, Andrew M.
2 Kuzmin, Alexey S.
2 Le, Thanh Hieu
2 Nechaev, Aleksandr Aleksandrovich
2 Ou, Haiwen
2 Özbudak, Ferruh
2 Pei, Dingyi
2 Quarez, Ronan
2 Tan, Lin
2 Van Barel, Marc
2 Vaserstein, Leonid N.
2 Venkateswarlu, Ayineedi
2 Vielhaber, Michael
2 Wang, Lin
2 Wang, Liping
2 Wei, Wandi
2 Wong, Kwokwo
2 Xiang, Tao
2 Xiao, Guozhen
2 Yan, Tongjiang
2 Yang, Benfu
2 Zhou, Jinjun
1 Abdel-Khalik, S. I.
1 Acquistapace, Francesca
1 Aldous, David John
1 Almuhna, Sahir R.
1 Amorim, Ivone
1 Arason, Jón Kristinn
1 Baeza, Ricardo
1 Basu, Saptarshi
1 Becher, Karim Johannes
1 Benamar, Hela
1 Benoist, Olivier
1 Broglia, Fabrizio
1 Bustillo, Paula
1 Cao, Xiankui
1 Castrillon Escobar, S.
1 Chandoul, Amara
1 Chang, Chih-Hao
1 Chang, Min-Hsing
1 Chen, Dongsheng
1 Chen, Falin
1 Chen, Huajin
1 Chen, Wende
1 Chung, Chih-Ang
1 Das, Kalyanbrata
1 del Pilar Canales Chacón, Mónica
1 Delzell, Charles N.
1 Derbez, Patrick
1 Dianat, Mehriar
1 Ding, Jintai
1 Dinh, Thach Ngoc
1 Doan Trung Cuong
1 Dong, Junwu
1 Duke-Walker, Vasco
1 Durbin, S. G.
1 Edemskiy, Vladimir
1 Fakhari, Abbas
1 Fan, Shuqin
1 Faugère, Jean-Charles
1 Feng, Dengguo
1 Feng, Ruyong
1 Feng, Xiutao
1 Fouque, Pierre-Alain
1 Fúster-Sabater, Amparo
1 Gao, Xiaoshan
1 Gao, Zhihan
1 Gashkov, Igor B.
1 Gashkov, Sergey B.
1 Golomb, Solomon Wolf
1 Gonçalves, Daciberg Lima
1 Gonzalez, Jesus
1 Goresky, Robert Mark
1 Gradeck, Michel
...and 121 more Authors
all top 5

Cited in 67 Serials

15 Finite Fields and their Applications
10 Journal of Algebra
9 Discrete Mathematics
8 Cryptography and Communications
7 Designs, Codes and Cryptography
5 Journal of Fluid Mechanics
5 Journal of Number Theory
5 Journal of Complexity
5 Physics of Fluids
4 Information Sciences
4 Science in China. Series A
4 Linear Algebra and its Applications
4 Acta Mathematica Sinica. New Series
3 Information Processing Letters
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Journal of Mathematical Sciences (New York)
2 Communications in Algebra
2 Inventiones Mathematicae
2 Proceedings of the American Mathematical Society
2 Theoretical Computer Science
2 Information and Computation
2 Journal of Cryptology
2 Applicable Algebra in Engineering, Communication and Computing
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Journal of Applied Mathematics and Computing
2 Science in China. Series F
2 Science China. Information Sciences
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 International Journal for Numerical Methods in Fluids
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Calcolo
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Opsearch
1 Results in Mathematics
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 International Journal of Foundations of Computer Science
1 Discrete Mathematics and Applications
1 Chinese Science Bulletin
1 Applied Mathematics. Series B (English Edition)
1 Nonlinear Dynamics
1 Algebras and Representation Theory
1 Flow, Turbulence and Combustion
1 Communications in Nonlinear Science and Numerical Simulation
1 Algebraic & Geometric Topology
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Prikladnaya Diskretnaya Matematika

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