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Vanstone, Scott Alexander

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Author ID: vanstone.scott-a Recent zbMATH articles by "Vanstone, Scott Alexander"
Published as: Vanstone, S.; Vanstone, S. A.; Vanstone, Scott; Vanstone, Scott A.
External Links: MGP · Wikidata · dblp
Documents Indexed: 189 Publications since 1973, including 8 Books
Biographic References: 2 Publications
all top 5

Co-Authors

15 single-authored
30 Mullin, Ronald Cleveland
24 Lamken, Esther R.
19 Schellenberg, Paul J.
17 Jungnickel, Dieter
16 Menezes, Alfred J.
14 Stinson, Douglas Robert
13 Fuji-Hara, Ryoh
9 Stanton, Ralph Gordon
7 McCarthy, Dallan
7 van Oorschot, Paul C.
6 Deza, Michel Marie
5 Rosa, Alexander
5 van Rees, G. H. John
4 Blake, Ian F.
4 Gallant, Robert P.
4 Qu, Minghua
4 Zuccherato, Robert J.
3 Agnew, Gordon B.
3 Brown, Daniel R. L.
3 Colbourn, Charles J.
2 Antipa, Adrian
2 Beutelspacher, Albrecht
2 Curran, D. J.
2 Furino, Steven C.
2 Gao, Shuhong
2 Jimbo, Masakazu
2 Lam, Charles C. Y.
2 Lambert, Robert J.
2 Mathon, Rudi
2 McKay, Brendan D.
2 Okamoto, Tatsuaki
2 Onyszchuk, I. M.
2 Phelps, Kevin T.
2 Rees, Rolf Stephen
2 Seberry, Jennifer R.
2 Singhi, Navin Madhavprasad
2 Struik, René
1 Ash, David W.
1 Beth, Thomas
1 Boros, Endre
1 Carter, James E.
1 Carter, Michael W.
1 de Resmini, Marialuisa Joyce
1 Gao, Xuhong
1 Gardner, Brian
1 Gilbert, William J.
1 Gionfriddo, Mario
1 Gong, Guang
1 Goulden, Ian P.
1 Hall, Marshall jun.
1 Hankerson, Darrel R.
1 Harper, Greg
1 Hoffman, Frederick
1 Jackson, David M.
1 Koblitz, Neal I.
1 Kocay, William Lawrence
1 Koyama, Kenji
1 Lambert, Rob
1 Law, Laurie
1 Lee, Therese C. Y.
1 Lonz, Stephen A.
1 Maurer, Ueli M.
1 McCarthy, D. R.
1 McCarthy, David
1 McCarthy, Denis
1 Mills, Wendell H. jun.
1 Müller, Volker
1 Pintsov, Leon A.
1 Roth, Robert L.
1 Shallit, Jeffrey O.
1 Solinas, Jerry
1 Tonchev, Vladimir D.
1 Wallis, Walter D.
1 Wevrick, Dan
1 Wilson, Richard Michael
1 Yaghoobian, Tomik
1 Yates, James W. T.
all top 5

Serials

22 Discrete Mathematics
19 Utilitas Mathematica
13 Ars Combinatoria
10 Journal of the Australian Mathematical Society. Series A
9 Journal of Combinatorial Theory. Series A
5 Journal of Cryptology
4 IEEE Transactions on Information Theory
4 Designs, Codes and Cryptography
4 Aequationes Mathematicae
3 Mathematics of Computation
3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
2 Discrete Applied Mathematics
2 Geometriae Dedicata
2 Journal of Statistical Planning and Inference
2 European Journal of Combinatorics
2 Combinatorica
2 SIAM Journal on Discrete Mathematics
2 Applicable Algebra in Engineering, Communication and Computing
2 The Kluwer International Series in Engineering and Computer Science
1 Israel Journal of Mathematics
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Journal of Algebra
1 Journal of Combinatorics, Information & System Sciences
1 Journal of the Korean Mathematical Society
1 The Journal of the University of Kuwait. (Science)
1 Le Matematiche
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Computing
1 Revista Técnica de la Facultad de Ingenieria
1 Journal of Information & Optimization Sciences
1 SIAM Journal on Algebraic and Discrete Methods
1 Graphs and Combinatorics
1 Bulletin of the Institute of Combinatorics and its Applications
1 Journal of Combinatorial Designs
1 Lecture Notes in Computer Science
1 CRC Press Series on Discrete Mathematics and its Applications

Publications by Year

Citations contained in zbMATH

174 Publications have been cited 1,937 times in 1,270 Documents Cited by Year
Handbook of applied cryptography. Zbl 0868.94001
Menezes, Alfred J.; van Oorschot, Paul C.; Vanstone, Scott A.
549
1997
Reducing elliptic curve logarithms to logarithms in a finite field. Zbl 0801.94011
Menezes, Alfred J.; Okamoto, Tatsuaki; Vanstone, Scott A.
123
1993
Guide to elliptic curve cryptography. Zbl 1059.94016
Hankerson, Darrel; Menezes, Alfred; Vanstone, Scott
88
2004
Applications of finite fields. Zbl 0779.11059
Menezes, Alfred J. (ed.); Blake, Ian F.; Gao, XuHong; Mullin, Ronald C.; Vanstone, Scott A.; Yaghoobian, Tomik
54
1993
Optimal normal bases in \(GF(p^ n)\). Zbl 0661.12007
Mullin, R. C.; Onyszchuk, I. M.; Vanstone, S. A.; Wilson, R. M.
49
1989
Faster point multiplication on elliptic curves with efficient endomorphisms. Zbl 1002.94022
Gallant, Robert P.; Lambert, Robert J.; Vanstone, Scott A.
33
2001
An efficient protocol for authenticated key agreement. Zbl 1016.94025
Law, Laurie; Menezes, Alfred; Qu, Minghua; Solinas, Jerry; Vanstone, Scott
30
2003
Doubly resolvable designs. Zbl 0447.05010
Vanstone, S. A.
28
1980
Low complexity normal bases. Zbl 0712.11073
Ash, David W.; Blake, Ian F.; Vanstone, Scott A.
26
1989
The state of elliptic curve cryptography. Zbl 0996.94032
Koblitz, Neal; Menezes, Alfred; Vanstone, Scott
25
2000
On the existence of frames. Zbl 0465.05015
Mullin, R. C.; Schellenberg, P. J.; Vanstone, S. A.; Wallis, W. D.
23
1981
Starter-adder techniques for Kirkman squares and Kirkman cubes of small sides. Zbl 0506.05013
Vanstone, S. A.; Rosa, A.
22
1982
Improving the parallelized Pollard lambda search on anomalous binary curves. Zbl 1101.14325
Gallant, Robert; Lambert, Robert; Vanstone, Scott
21
2000
New public-key schemes based on elliptic curves over the ring \(\mathbb Z_ n\). Zbl 0839.94007
Koyama, Kenji; Maurer, Ueli M.; Okamoto, Tatsuaki; Vanstone, Scott A.
21
1992
Some results on the existence of squares. Zbl 0447.05013
Mullin, R. C.; Schellenberg, P. J.; Stinson, D. R.; Vanstone, S. A.
21
1980
On mutually orthogonal resolutions and near-resolutions. Zbl 0512.05007
Vanstone, S. A.
20
1982
Bounds for permutation arrays. Zbl 0384.05026
Deza, M.; Vanstone, S. A.
20
1978
Hanani triple systems. Zbl 0783.05023
Vanstone, S. A.; Stinson, D. R.; Schellenberg, P. J.; Rosa, A.; Rees, R.; Colbourn, C. J.; Carter, M. W.; Carter, J. E.
19
1993
An implementation for a fast public-key cryptosystem. Zbl 0725.94002
Agnew, G. B.; Mullin, R. C.; Onyszchuk, I. M.; Vanstone, S. A.
19
1991
On the construction of perpendicular arrays. Zbl 0457.05009
Mullin, R. C.; Schellenberg, P. J.; van Rees, G. H. J.; Vanstone, S. A.
18
1980
The existence of balanced tournament designs. Zbl 0401.05029
Schellenberg, P. J.; Van Rees, G. H. J.; Vanstone, S. A.
18
1977
A combinatorial approach to threshold schemes. Zbl 0667.05008
Stinson, D. R.; Vanstone, S. A.
16
1988
On primitive polynomials over finite fields. Zbl 0694.12013
Jungnickel, Dieter; Vanstone, Scott A.
15
1989
Computing logarithms in finite fields of characteristic two. Zbl 0536.12010
Blake, I. F.; Fuji-Hara, R.; Mullin, R. C.; Vanstone, S. A.
15
1984
On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays. Zbl 0447.05021
Mathon, R.; Vanstone, S. A.
15
1980
Four pairwise orthogonal latin squares of order 15. Zbl 0433.05014
Schellenberg, P. J.; van Rees, G. H. J.; Vanstone, S. A.
15
1978
An introduction to error correcting codes with applications. Zbl 0726.94006
Vanstone, Scott A.; van Oorschot, Paul C.
14
1989
The existence of a class of Kirkman squares of index 2. Zbl 0668.05016
Lamken, E. R.; Vanstone, S. A.
14
1988
On the spectrum of doubly resolvable Kirkman systems. Zbl 0456.05020
Fuji-Hara, R.; Vanstone, S. A.
14
1980
On the number of self-dual bases of \(\mathrm{GF}(q^m)\) over \(\mathrm{GF}(q)\). Zbl 0698.12015
Jungnickel, Dieter; Menezes, Alfred J.; Vanstone, Scott A.
13
1990
On orders of optimal normal basis generators. Zbl 0868.11059
Gao, Shuhong; Vanstone, Scott A.
12
1995
Existence results for doubly near resolvable \((v,3,2)\)-BIBDs. Zbl 0787.05009
Lamken, E. R.; Vanstone, S. A.
12
1993
Coverings of pairs by quintuples. Zbl 0651.05025
Lamken, E. R.; Mills, W. H.; Mullin, R. C.; Vanstone, S. A.
11
1987
Skew transversals in frames. Zbl 0642.05008
Lamken, E. R.; Vanstone, S. A.
11
1987
Hyperfactorizations of graphs and 5-designs. Zbl 0639.05039
Jungnickel, Dieter; Vanstone, Scott A.
11
1987
Recursive constructions for Kirkman squares with block size three. Zbl 0637.05006
Colbourn, C. J.; Curran, D.; Vanstone, S. A.
11
1987
Doubly resolvable twofold triple systems. Zbl 0554.05009
Colbourn, Charles J.; Vanstone, Scott A.
11
1982
The existence of orthogonal resolutions of lines in AG(n,q). Zbl 0633.51008
Fuji-Hara, R.; Vanstone, S. A.
10
1987
Orthogonal packings in PG(5,2). Zbl 0606.05010
Stinson, D. R.; Vanstone, S. A.
10
1986
A geometric approach to root finding in \(GF(q^ m)\). Zbl 0681.12008
van Oorschot, P. C.; Vanstone, S. A.
9
1989
The existence of simple \(S_ 3(3,4,\nu)\). Zbl 0681.05009
Phelps, K.; Stinson, D. R.; Vanstone, S. A.
9
1989
The existence of factored balanced tournament designs. Zbl 0583.05021
Lamken, E. R.; Vanstone, S. A.
9
1985
Accelerated verification of ECDSA signatures. Zbl 1151.94595
Antipa, Adrian; Brown, Daniel; Gallant, Robert; Lambert, Rob; Struik, René; Vanstone, Scott
8
2006
Validation of elliptic curve public keys. Zbl 1033.94509
Antipa, Adrian; Brown, Daniel; Menezes, Alfred; Struik, René; Vanstone, Scott
8
2002
Balanced tournament designs and related topics. Zbl 0682.05013
Lamken, E. R.; Vanstone, S. A.
8
1989
The existence of \(KS_ 2(v;\mu,\lambda)\): the main constructions. Zbl 0584.05013
Lamken, E. R.; Vanstone, S. A.
8
1985
On the existence of strong Kirkman cubes of order 39 and block size 3. Zbl 0582.05010
Rosa, A.; Vanstone, S. A.
8
1985
A Kirkman square of order 51 and block size 3. Zbl 0563.05017
Stinson, D. R.; Vanstone, S. A.
8
1985
Short RSA keys and their generation. Zbl 0828.94010
Vanstone, Scott A.; Zuccherato, Robert J.
7
1995
Subgroup refinement algorithms for root finding in \(GF(q)\). Zbl 0754.11041
Menezes, A. J.; van Oorschot, P. C.; Vanstone, S. A.
7
1992
Isomorphism classes of elliptic curves over finite fields of characteristic 2. Zbl 0727.14021
Menezes, Alfred; Vanstone, Scott
7
1990
Doubly resolvable designs from generalized Bhaskar Rao designs. Zbl 0677.05011
Curran, D. J.; Vanstone, S. A.
7
1989
On the existence of (2,4;3,m,h)-frames for \(h=1,3\) and 6. Zbl 0656.05018
Lamken, E. R.; Vanstone, S. A.
7
1988
On resolvable designs \(S_ 3(3;4,v)\). Zbl 0648.05007
Jungnickel, Dieter; Vanstone, Scott A.
7
1986
Elliptic semiplanes and group divisible designs with orthogonal resolutions. Zbl 0586.05006
Lamken, E. R.; Vanstone, S. A.
7
1986
Partitioned balanced tournament designs of side \(4n+1\). Zbl 0601.05012
Lamken, E. R.; Vanstone, S. A.
7
1985
Transversal designs and doubly-resolvable designs. Zbl 0458.05015
Fuji-Hara, R.; Vanstone, S. A.
7
1980
Graphical codes revisited. Zbl 0869.94039
Jungnickel, Dieter; Vanstone, Scott A.
6
1997
Counting points on elliptic curves over \(\mathbb{F}_{2^ m}\). Zbl 0809.14045
Menezes, Alfred J.; Vanstone, Scott A.; Zuccherato, Robert J.
6
1993
Arithmetic operations in \(GF(2^ m)\). Zbl 0793.11032
Agnew, G. B.; Beth, T.; Mullin, R. C.; Vanstone, S. A.
6
1993
Class-uniformly resolvable pairwise balanced designs with block size two and three. Zbl 0749.05011
Lamken, Esther R.; Rees, Rolf; Vanstone, Scott
6
1991
Balanced tournament designs and resolvable (v,3,2)-BIBDs. Zbl 0705.05005
Lamken, E. R.; Vanstone, S. A.
6
1990
Balanced tournament designs with almost orthogonal resolutions. Zbl 0739.05018
Lamken, E. R.; Vanstone, S. A.
6
1990
Orthogonal resolutions in odd balanced tournament designs. Zbl 0664.05011
Lamken, E. R.; Vanstone, S. A.
6
1988
The existence of partitioned balanced tournament designs. Zbl 0642.05011
Lamken, E. R.; Vanstone, S. A.
6
1987
Existence results for \(KS_ 3(v;2,4)s\). Zbl 0613.05012
Lamken, E. R.; Vanstone, S. A.
6
1986
On strong starters in cyclic groups. Zbl 0578.20014
Kocay, W. L.; Stinson, D. R.; Vanstone, S. A.
6
1985
Affine geometries obtained from projective planes and skew resolutions on AG(3,q). Zbl 0504.05014
Fuji-Hara, R.; Vanstone, S. A.
6
1983
Recursive constructions for skew resolutions in affine geometries. Zbl 0511.05023
Fuji-Hara, R.; Vanstone, S. A.
6
1981
The existence of Howell designs of side n+1 and order 2n. Zbl 0491.05015
Schellenberg, P. J.; Stinson, D. R.; Vanstone, S. A.; Yates, J. W.
6
1981
Class-uniformly resolvable designs with block sizes 2 and 3. Zbl 0913.05015
Wevrick, D.; Vanstone, S. A.
5
1996
The knapsack problem in cryptography. Zbl 0834.94014
Qu, Minghua; Vanstone, S. A.
5
1994
Elliptic curve cryptosystems and their implementation. Zbl 0782.94008
Menezes, Alfred J.; Vanstone, Scott A.
5
1993
On Kirkman triple systems of order 33. Zbl 0773.05025
Tonchev, Vladimir D.; Vanstone, Scott A.
5
1992
A note on cyclic groups, finite fields, and the discrete logarithm problem. Zbl 0749.11056
Menezes, Alfred J.; Vanstone, Scott A.
5
1992
The existence of skew Howell designs of side 2n and order \(2n+2\). Zbl 0698.05010
Lamken, E. R.; Vanstone, S. A.
5
1990
On the chromatic index of a finite projective space. Zbl 0695.51002
Beutelspacher, Albrecht; Jungnickel, Dieter; Vanstone, Scott A.
5
1989
The existence of partitioned balanced tournament designs of side \(4n+3\). Zbl 0642.05010
Lamken, E. R.; Vanstone, S. A.
5
1987
Some non-existence results on twisted planes related to minimum covers. Zbl 0622.05014
Lamken, E. R.; Mullin, R. C.; Vanstone, S. A.
5
1985
The existence of \(KS_ 2(v;\mu,\lambda):\) Special constructions. Zbl 0584.05014
Lamken, E. R.; Vanstone, S. A.
5
1985
A note on non-isomorphic Kirkman triple systems. Zbl 0631.05007
Stinson, D. R.; Vanstone, S. A.
5
1984
Kirkman triple systems containing maximum subdesigns. Zbl 0498.05013
Mullin, R. C.; Stinson, D. R.; Vanstone, S. A.
5
1982
Doubly resolvable Kirkman systems. Zbl 0459.05021
Mathon, R.; Vanstone, S. A.
5
1980
Orthogonal systems. Zbl 0377.05012
Deza, M.; Mullin, R. C.; Vanstone, S. A.
5
1978
On approximations to a projective plane of order 6. Zbl 0352.05019
McCarthy, D.; Mullin, R. C.; Schellenberg, P. J.; Stanton, R. G.; Vanstone, S. A.
5
1976
Room squares and equidistant permutation arrays. Zbl 0351.05017
Deza, M.; Mullin, R. C.; Vanstone, S. A.
5
1976
On regular pairwise balanced designs of order 6 and index 1. Zbl 0334.05017
Mullin, R. C.; Vanstone, S. A.
5
1975
Subspaces and polynomial factorizations over finite fields. Zbl 0821.11061
Lee, Therese C. Y.; Vanstone, Scott A.
4
1995
Factorizations in the elementary abelian \(p\)-group and their cryptographic significance. Zbl 0827.20061
Qu, Minghua; Vanstone, S. A.
4
1994
Public-key cryptosystems with very small key lengths. Zbl 0787.94017
Harper, Greg; Menezes, Alfred; Vanstone, Scott
4
1993
The spectrum of \(\alpha\)-resolvable block designs with block size 3. Zbl 0753.05008
Jungnickel, D.; Mullin, R. C.; Vanstone, S. A.
4
1991
Some results on the line partitioning problem in PG(2k,q). Zbl 0632.05020
Fuji-Hara, R.; Jimbo, M.; Vanstone, S.
4
1986
Designs with mutually orthogonal resolutions. Zbl 0618.05009
Lamken, E. R.; Vanstone, S. A.
4
1986
Recursive constructions for resolvable and doubly resolvable 1-rotational Steiner 2-designs. Zbl 0558.05009
Jimbo, Masakazu; Vanstone, Scott A.
4
1984
Kirkman cubes. Zbl 0545.05019
Rosa, A.; Vanstone, S. A.
4
1983
Orthogonal resolutions of lines in AG(n,q). Zbl 0509.05013
Fuji-Hara, R.; Vanstone, S. A.
4
1982
Embedding (r,1)-designs in finite projective planes. Zbl 0374.05013
McCarthy, D.; Vanstone, S. A.
4
1977
A generalization of a theorem of Totten. Zbl 0343.05016
Mullin, R. C.; Vanstone, S. A.
4
1976
Message authentication codes with error correcting capabilities. Zbl 1023.94529
Lam, Charles C. Y.; Gong, Guang; Vanstone, Scott A.
3
2002
Postal revenue collection in the digital age. Zbl 0999.68560
Pintsov, Leon A.; Vanstone, Scott A.
3
2001
Accelerated verification of ECDSA signatures. Zbl 1151.94595
Antipa, Adrian; Brown, Daniel; Gallant, Robert; Lambert, Rob; Struik, René; Vanstone, Scott
8
2006
An introduction to mathematical thinking. Algebra and number systems. Zbl 1074.00002
Gilbert, William J.; Vanstone, Scott A.
1
2005
Guide to elliptic curve cryptography. Zbl 1059.94016
Hankerson, Darrel; Menezes, Alfred; Vanstone, Scott
88
2004
An efficient protocol for authenticated key agreement. Zbl 1016.94025
Law, Laurie; Menezes, Alfred; Qu, Minghua; Solinas, Jerry; Vanstone, Scott
30
2003
Validation of elliptic curve public keys. Zbl 1033.94509
Antipa, Adrian; Brown, Daniel; Menezes, Alfred; Struik, René; Vanstone, Scott
8
2002
Message authentication codes with error correcting capabilities. Zbl 1023.94529
Lam, Charles C. Y.; Gong, Guang; Vanstone, Scott A.
3
2002
Provably secure implicit certificate schemes. Zbl 1051.94511
Brown, Daniel R. L.; Gallant, Robert; Vanstone, Scott A.
1
2002
Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based key distribution system over elliptic curves. Zbl 1016.94516
Qu, Minghua; Stinson, Doug; Vanstone, Scott
1
2002
Faster point multiplication on elliptic curves with efficient endomorphisms. Zbl 1002.94022
Gallant, Robert P.; Lambert, Robert J.; Vanstone, Scott A.
33
2001
Postal revenue collection in the digital age. Zbl 0999.68560
Pintsov, Leon A.; Vanstone, Scott A.
3
2001
The state of elliptic curve cryptography. Zbl 0996.94032
Koblitz, Neal; Menezes, Alfred; Vanstone, Scott
25
2000
Improving the parallelized Pollard lambda search on anomalous binary curves. Zbl 1101.14325
Gallant, Robert; Lambert, Robert; Vanstone, Scott
21
2000
Worst-case analysis of an algorithm for computing the greatest common divisor of \(n\) inputs. Zbl 0983.11073
Lam, Charles; Shallit, Jeffrey; Vanstone, Scott
2
2000
\(q\)-ary graphical codes. Zbl 0957.94037
Jungnickel, Dieter; Vanstone, Scott A.
1
1999
Ternary graphical codes. Zbl 0988.94031
Jungnickel, Dieter; Vanstone, Scott A.
1
1999
Discrete logarithm based cryptosystems in quadratic function fields of characteristic 2. Zbl 0922.94005
Müller, Volker; Vanstone, Scott; Zuccherato, Robert
1
1998
Handbook of applied cryptography. Zbl 0868.94001
Menezes, Alfred J.; van Oorschot, Paul C.; Vanstone, Scott A.
549
1997
Graphical codes revisited. Zbl 0869.94039
Jungnickel, Dieter; Vanstone, Scott A.
6
1997
Ellliptic curve cryptosystems using curves of smooth order over the ring \(\mathbb{Z}_n\). Zbl 0909.94016
Vanstone, Scott A.; Zuccerato, Robert J.
3
1997
An application of difference sets to a problem concerning graphical codes. Zbl 0881.05027
Jungnickel, Dieter; Vanstone, Scott A.
2
1997
Class-uniformly resolvable designs with block sizes 2 and 3. Zbl 0913.05015
Wevrick, D.; Vanstone, S. A.
5
1996
Graphical codes—a tutorial. Zbl 0864.05001
Jungnickel, Dieter; Vanstone, Scott A.
3
1996
Codes based on complete graphs. Zbl 0943.94012
Jungnickel, Dieter; De Resmini, Marialuisa J.; Vanstone, Scott A.
1
1996
On orders of optimal normal basis generators. Zbl 0868.11059
Gao, Shuhong; Vanstone, Scott A.
12
1995
Short RSA keys and their generation. Zbl 0828.94010
Vanstone, Scott A.; Zuccherato, Robert J.
7
1995
Subspaces and polynomial factorizations over finite fields. Zbl 0821.11061
Lee, Therese C. Y.; Vanstone, Scott A.
4
1995
An application of coding theory to a problem in graphical enumeration. Zbl 0855.05069
Jungnickel, Dieter; Vanstone, Scott A.
1
1995
The knapsack problem in cryptography. Zbl 0834.94014
Qu, Minghua; Vanstone, S. A.
5
1994
Factorizations in the elementary abelian \(p\)-group and their cryptographic significance. Zbl 0827.20061
Qu, Minghua; Vanstone, S. A.
4
1994
Reducing elliptic curve logarithms to logarithms in a finite field. Zbl 0801.94011
Menezes, Alfred J.; Okamoto, Tatsuaki; Vanstone, Scott A.
123
1993
Applications of finite fields. Zbl 0779.11059
Menezes, Alfred J. (ed.); Blake, Ian F.; Gao, XuHong; Mullin, Ronald C.; Vanstone, Scott A.; Yaghoobian, Tomik
54
1993
Hanani triple systems. Zbl 0783.05023
Vanstone, S. A.; Stinson, D. R.; Schellenberg, P. J.; Rosa, A.; Rees, R.; Colbourn, C. J.; Carter, M. W.; Carter, J. E.
19
1993
Existence results for doubly near resolvable \((v,3,2)\)-BIBDs. Zbl 0787.05009
Lamken, E. R.; Vanstone, S. A.
12
1993
Counting points on elliptic curves over \(\mathbb{F}_{2^ m}\). Zbl 0809.14045
Menezes, Alfred J.; Vanstone, Scott A.; Zuccherato, Robert J.
6
1993
Arithmetic operations in \(GF(2^ m)\). Zbl 0793.11032
Agnew, G. B.; Beth, T.; Mullin, R. C.; Vanstone, S. A.
6
1993
Elliptic curve cryptosystems and their implementation. Zbl 0782.94008
Menezes, Alfred J.; Vanstone, Scott A.
5
1993
Public-key cryptosystems with very small key lengths. Zbl 0787.94017
Harper, Greg; Menezes, Alfred; Vanstone, Scott
4
1993
On the development of a fast elliptic curve cryptosystem. Zbl 0800.94195
Agnew, G. B.; Mullin, R. C.; Vanstone, S. A.
1
1993
Pairwise balanced designs with block sizes \(5t+1\). Zbl 0792.05020
Furino, S. C.; Vanstone, S. A.
1
1993
New public-key schemes based on elliptic curves over the ring \(\mathbb Z_ n\). Zbl 0839.94007
Koyama, Kenji; Maurer, Ueli M.; Okamoto, Tatsuaki; Vanstone, Scott A.
21
1992
Subgroup refinement algorithms for root finding in \(GF(q)\). Zbl 0754.11041
Menezes, A. J.; van Oorschot, P. C.; Vanstone, S. A.
7
1992
On Kirkman triple systems of order 33. Zbl 0773.05025
Tonchev, Vladimir D.; Vanstone, Scott A.
5
1992
A note on cyclic groups, finite fields, and the discrete logarithm problem. Zbl 0749.11056
Menezes, Alfred J.; Vanstone, Scott A.
5
1992
Pair-splitting sets in AG\((m,q)\). Zbl 0798.05011
Beutelspacher, A.; Jungnickel, D.; van Oorschot, P. C.; Vanstone, S. A.
1
1992
An implementation for a fast public-key cryptosystem. Zbl 0725.94002
Agnew, G. B.; Mullin, R. C.; Onyszchuk, I. M.; Vanstone, S. A.
19
1991
Class-uniformly resolvable pairwise balanced designs with block size two and three. Zbl 0749.05011
Lamken, Esther R.; Rees, Rolf; Vanstone, Scott
6
1991
The spectrum of \(\alpha\)-resolvable block designs with block size 3. Zbl 0753.05008
Jungnickel, D.; Mullin, R. C.; Vanstone, S. A.
4
1991
Advances in Cryptology - CRYPTO ’90. A conference on the theory and application of Cryptography, Univ. of California, Santa Barbara, USA, August 11–15, 1990. Proceedings. Zbl 0782.00081
Menezes, Alfred J. (ed.); Vanstone, Scott A. (ed.)
3
1991
Isomorphism of strong starters in cyclic groups. Zbl 0739.20006
Phelps, K. T.; Vanstone, S. A.
3
1991
Triple systems in \(\text{PG}(2,q)\). Zbl 0764.05012
Jungnickel, Dieter; Vanstone, Scott
1
1991
The existence of non-trivial hyperfactorizations of \(K_{2n}\). Zbl 0760.05070
Boros, Endre; Jungnickel, Dieter; Vanstone, Scott A.
1
1991
On the number of self-dual bases of \(\mathrm{GF}(q^m)\) over \(\mathrm{GF}(q)\). Zbl 0698.12015
Jungnickel, Dieter; Menezes, Alfred J.; Vanstone, Scott A.
13
1990
Isomorphism classes of elliptic curves over finite fields of characteristic 2. Zbl 0727.14021
Menezes, Alfred; Vanstone, Scott
7
1990
Balanced tournament designs and resolvable (v,3,2)-BIBDs. Zbl 0705.05005
Lamken, E. R.; Vanstone, S. A.
6
1990
Balanced tournament designs with almost orthogonal resolutions. Zbl 0739.05018
Lamken, E. R.; Vanstone, S. A.
6
1990
The existence of skew Howell designs of side 2n and order \(2n+2\). Zbl 0698.05010
Lamken, E. R.; Vanstone, S. A.
5
1990
The implementation of elliptic curve cryptosystems. Zbl 0722.94012
Menezes, Alfred; Vanstone, Scott
3
1990
Some geometric aspects of root finding in \(GF(q^ m)\). Zbl 0707.05013
van Oorschot, P. C.; Vanstone, S. A.
1
1990
On splitting sets in block designs and finding roots of polynomials. Zbl 0703.05007
van Oorschot, P. C.; Vanstone, S. A.
1
1990
Optimal normal bases in \(GF(p^ n)\). Zbl 0661.12007
Mullin, R. C.; Onyszchuk, I. M.; Vanstone, S. A.; Wilson, R. M.
49
1989
Low complexity normal bases. Zbl 0712.11073
Ash, David W.; Blake, Ian F.; Vanstone, Scott A.
26
1989
On primitive polynomials over finite fields. Zbl 0694.12013
Jungnickel, Dieter; Vanstone, Scott A.
15
1989
An introduction to error correcting codes with applications. Zbl 0726.94006
Vanstone, Scott A.; van Oorschot, Paul C.
14
1989
A geometric approach to root finding in \(GF(q^ m)\). Zbl 0681.12008
van Oorschot, P. C.; Vanstone, S. A.
9
1989
The existence of simple \(S_ 3(3,4,\nu)\). Zbl 0681.05009
Phelps, K.; Stinson, D. R.; Vanstone, S. A.
9
1989
Balanced tournament designs and related topics. Zbl 0682.05013
Lamken, E. R.; Vanstone, S. A.
8
1989
Doubly resolvable designs from generalized Bhaskar Rao designs. Zbl 0677.05011
Curran, D. J.; Vanstone, S. A.
7
1989
On the chromatic index of a finite projective space. Zbl 0695.51002
Beutelspacher, Albrecht; Jungnickel, Dieter; Vanstone, Scott A.
5
1989
A combinatorial approach to threshold schemes. Zbl 0667.05008
Stinson, D. R.; Vanstone, S. A.
16
1988
The existence of a class of Kirkman squares of index 2. Zbl 0668.05016
Lamken, E. R.; Vanstone, S. A.
14
1988
On the existence of (2,4;3,m,h)-frames for \(h=1,3\) and 6. Zbl 0656.05018
Lamken, E. R.; Vanstone, S. A.
7
1988
Orthogonal resolutions in odd balanced tournament designs. Zbl 0664.05011
Lamken, E. R.; Vanstone, S. A.
6
1988
Hyperplane skew resolutions and their applications. Zbl 0635.51007
Fuji-Hara, R.; Vanstone, S. A.
3
1988
A combinatorial approach to threshold schemes. Zbl 0647.94010
Stinson, D. R.; Vanstone, S. A.
2
1988
A note on group divisible designs with mutually orthogonal resolutions. Zbl 0656.05010
Lamken, E. R.; Vanstone, S. A.
1
1988
Coverings of pairs by quintuples. Zbl 0651.05025
Lamken, E. R.; Mills, W. H.; Mullin, R. C.; Vanstone, S. A.
11
1987
Skew transversals in frames. Zbl 0642.05008
Lamken, E. R.; Vanstone, S. A.
11
1987
Hyperfactorizations of graphs and 5-designs. Zbl 0639.05039
Jungnickel, Dieter; Vanstone, Scott A.
11
1987
Recursive constructions for Kirkman squares with block size three. Zbl 0637.05006
Colbourn, C. J.; Curran, D.; Vanstone, S. A.
11
1987
The existence of orthogonal resolutions of lines in AG(n,q). Zbl 0633.51008
Fuji-Hara, R.; Vanstone, S. A.
10
1987
The existence of partitioned balanced tournament designs. Zbl 0642.05011
Lamken, E. R.; Vanstone, S. A.
6
1987
The existence of partitioned balanced tournament designs of side \(4n+3\). Zbl 0642.05010
Lamken, E. R.; Vanstone, S. A.
5
1987
Hyperplane skew resolutions in spaces of even dimension. Zbl 0652.05007
Furino, S.; Vanstone, S. A.
2
1987
Conical embeddings of Steiner systems. Zbl 0653.51006
Jungnickel, Dieter; Vanstone, Scott A.
1
1987
Balanced Room squares from finite geometries and their generalizations. Zbl 0639.05008
Fuji-Hara, R.; Vanstone, S. A.
1
1987
Orthogonal packings in PG(5,2). Zbl 0606.05010
Stinson, D. R.; Vanstone, S. A.
10
1986
On resolvable designs \(S_ 3(3;4,v)\). Zbl 0648.05007
Jungnickel, Dieter; Vanstone, Scott A.
7
1986
Elliptic semiplanes and group divisible designs with orthogonal resolutions. Zbl 0586.05006
Lamken, E. R.; Vanstone, S. A.
7
1986
Existence results for \(KS_ 3(v;2,4)s\). Zbl 0613.05012
Lamken, E. R.; Vanstone, S. A.
6
1986
Some results on the line partitioning problem in PG(2k,q). Zbl 0632.05020
Fuji-Hara, R.; Jimbo, M.; Vanstone, S.
4
1986
Designs with mutually orthogonal resolutions. Zbl 0618.05009
Lamken, E. R.; Vanstone, S. A.
4
1986
On a generalization of the Room square problem. Zbl 0619.05012
Lamken, E. R.; Vanstone, S. A.
1
1986
The existence of factored balanced tournament designs. Zbl 0583.05021
Lamken, E. R.; Vanstone, S. A.
9
1985
The existence of \(KS_ 2(v;\mu,\lambda)\): the main constructions. Zbl 0584.05013
Lamken, E. R.; Vanstone, S. A.
8
1985
On the existence of strong Kirkman cubes of order 39 and block size 3. Zbl 0582.05010
Rosa, A.; Vanstone, S. A.
8
1985
A Kirkman square of order 51 and block size 3. Zbl 0563.05017
Stinson, D. R.; Vanstone, S. A.
8
1985
Partitioned balanced tournament designs of side \(4n+1\). Zbl 0601.05012
Lamken, E. R.; Vanstone, S. A.
7
1985
On strong starters in cyclic groups. Zbl 0578.20014
Kocay, W. L.; Stinson, D. R.; Vanstone, S. A.
6
1985
Some non-existence results on twisted planes related to minimum covers. Zbl 0622.05014
Lamken, E. R.; Mullin, R. C.; Vanstone, S. A.
5
1985
The existence of \(KS_ 2(v;\mu,\lambda):\) Special constructions. Zbl 0584.05014
Lamken, E. R.; Vanstone, S. A.
5
1985
...and 74 more Documents
all top 5

Cited by 1,986 Authors

45 Vanstone, Scott Alexander
37 Stinson, Douglas Robert
28 Lamken, Esther R.
23 Shparlinski, Igor E.
14 Colbourn, Charles J.
14 Menezes, Alfred J.
13 Mullin, Ronald Cleveland
13 Panario, Daniel
11 Bennett, Frank E.
11 Jungnickel, Dieter
10 Fúster-Sabater, Amparo
10 Gao, Shuhong
9 Dinitz, Jeffrey H.
9 Zhang, Fangguo
9 Zhu, Lie
8 Abel, R. Julian R.
8 Danziger, Peter
8 Galbraith, Steven D.
8 Xu, Maozhi
8 Yin, Jianxing
7 Cheon, Jung Hee
7 Climent, Joan-Josep
7 Grigor’ev, Dmitriĭ Yur’evich
7 Kyuregyan, Melsik K.
7 Ling, Alan Chi Hung
7 Sasaki, Yu
7 Topalova, Svetlana Todorova
7 von zur Gathen, Joachim
6 Ahmadi, Omran
6 Blake, Ian F.
6 Cao, Haitao
6 Chang, Yanxun
6 Dukes, Peter James
6 Fan, Chun-I
6 Fuji-Hara, Ryoh
6 Hsu, Chien-Lung
6 Lindner, Charles Curtis
6 Mendelsohn, Eric
6 Moldovyan, Nikolaĭ Andreevich
6 Winterhof, Arne
6 Zhelezova, Stela Dimitrova
5 Ge, Gennian
5 Hong, Jin
5 Jimbo, Masakazu
5 Rosa, Alexander
5 Schellenberg, Paul J.
5 Shpilrain, Vladimir
5 Teske, Edlyn
5 Wang, Jinhua
5 Wang, Ping
5 Xiao, Di
4 Agibalov, G. P.
4 Aoki, Kazumaro
4 Assaf, Ahmed M.
4 Bereg, Sergey N.
4 Biswas, G. P.
4 Boneh, Dan
4 Burgess, Andrea C.
4 Cao, Zhenfu
4 Cardell, Sara D.
4 Chen, Kefei
4 Garefalakis, Theo
4 Gong, Guang
4 Greig, Malcolm
4 Han, Wenbao
4 Hernández Encinas, Luis
4 Hisil, Huseyin
4 Hu, Zhi
4 Kanso, Ali
4 Keranen, Melissa S.
4 Laskari, E. C.
4 Lee, Hyangsook
4 Lercier, Reynald
4 Liao, Qunying
4 Liao, Xiaofeng
4 Lu, Shuwang
4 Martín del Rey, Ángel
4 Meszka, Mariusz
4 Millerioux, Gilles
4 Mills, William Harold
4 Muñoz Masqué, Jaime
4 Nitaj, Abderrahmane
4 Samsudin, Azman
4 Sárközy, András
4 Shim, Kyungah
4 Sica, Francesco
4 Steinwandt, Rainer
4 Stevens, Brett
4 Su, Shenghui
4 Sutherland, Andrew V.
4 Tonchev, Vladimir D.
4 Tran Van Trung
4 Vrahatis, Michael N.
4 Wang, Chengmin
4 Wu, Tzong-Sun
4 Youssef, Amr M.
4 Zamora, Antonio
3 Abadi, Martín
3 Álvarez, Gonzalo A.
3 Álvarez, Rafael
...and 1,886 more Authors
all top 5

Cited in 201 Serials

105 Discrete Mathematics
103 Designs, Codes and Cryptography
50 Finite Fields and their Applications
46 Journal of Cryptology
43 Applied Mathematics and Computation
39 Information Processing Letters
36 Mathematics of Computation
34 Discrete Applied Mathematics
31 Information Sciences
29 Journal of Combinatorial Theory. Series A
29 Applicable Algebra in Engineering, Communication and Computing
28 Theoretical Computer Science
27 Journal of Statistical Planning and Inference
19 Journal of Discrete Mathematical Sciences & Cryptography
16 Journal of Combinatorial Designs
14 Prikladnaya Diskretnaya Matematika
13 Graphs and Combinatorics
13 Cryptography and Communications
12 Computers & Mathematics with Applications
12 Chaos, Solitons and Fractals
11 Physics Letters. A
11 Quantum Information Processing
10 Journal of Computer and System Sciences
10 Journal of Number Theory
10 Journal of Symbolic Computation
10 Mathematical Problems in Engineering
9 Nonlinear Dynamics
9 Advances in Mathematics of Communications
8 Mathematical and Computer Modelling
8 LMS Journal of Computation and Mathematics
8 Communications in Nonlinear Science and Numerical Simulation
8 Journal of Mathematical Cryptology
7 Communications in Algebra
7 Acta Applicandae Mathematicae
7 Information and Computation
7 Aequationes Mathematicae
7 Wuhan University Journal of Natural Sciences (WUJNS)
6 European Journal of Combinatorics
6 Journal of Complexity
6 Journal of Mathematical Sciences (New York)
6 Science in China. Series F
5 International Journal of Theoretical Physics
5 Archiv der Mathematik
5 Combinatorica
5 Algorithmica
5 International Journal of Computer Mathematics
5 Linear Algebra and its Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Tatra Mountains Mathematical Publications
5 Complexity
5 Acta Mathematica Sinica. English Series
4 Applied Mathematics Letters
4 Journal of Applied Mathematics
4 Mathematics in Computer Science
4 Arabian Journal for Science and Engineering
3 Computer Physics Communications
3 Acta Mathematicae Applicatae Sinica. English Series
3 Signal Processing
3 Discrete Mathematics and Applications
3 Automation and Remote Control
3 Applied Mathematics. Series B (English Edition)
3 The Electronic Journal of Combinatorics
3 Chaos
3 Electronic Commerce Research
3 Journal of Applied Mathematics and Computing
3 Journal of Zhejiang University. Science A
3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
3 Asian-European Journal of Mathematics
3 Groups, Complexity, Cryptology
3 Science China. Information Sciences
2 Modern Physics Letters A
2 Israel Journal of Mathematics
2 Linear and Multilinear Algebra
2 Periodica Mathematica Hungarica
2 Problems of Information Transmission
2 Automatica
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Journal of Geometry
2 Journal of Pure and Applied Algebra
2 Mathematics and Computers in Simulation
2 Semigroup Forum
2 Cryptologia
2 SIAM Journal on Algebraic and Discrete Methods
2 Operations Research Letters
2 Journal of Computer Science and Technology
2 New Generation Computing
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 International Journal of Foundations of Computer Science
2 Journal of Global Optimization
2 Applied Mathematical Modelling
2 Cybernetics and Systems Analysis
2 Journal of Algebraic Combinatorics
2 Journal de Théorie des Nombres de Bordeaux
2 Monte Carlo Methods and Applications
2 The Ramanujan Journal
2 Journal of Interdisciplinary Mathematics
2 Miscelánea Matemática
2 Journal of Systems Science and Complexity
...and 101 more Serials

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