Compute Distance To:
 Documents Indexed: 60 Publications since 1977, including 1 Book Biographic References: 1 Publication Co-Authors: 23 Co-Authors with 29 Joint Publications 212 Co-Co-Authors
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### Co-Authors

 31 single-authored 5 de Launey, Warwick 3 Farmer, D. G. 3 Perera, A. A. I. 3 Udaya, Parampalli 2 Carstens, Corrie Jacobien 2 Chen, Yuqing 2 Flannery, Dane Laurence 2 LeBel, Alain C. 2 Liu, Wei-Hung 2 Rao, Asha 1 Alvarez, Victor 1 Blass, Jozef 1 Blass, Piotr 1 East, Russell 1 Farr, Graham E. 1 Gudiel, Félix 1 Güemes, Maria Belén 1 Kleidman, Peter B. 1 Lin, Cantian 1 Luo, Hongwei 1 Nyblom, Michael A. 1 Ryba, Alexander J. E. 1 Villanueva, Mercè
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### Serials

 7 Journal of Pure and Applied Algebra 6 Proceedings of the American Mathematical Society 4 Designs, Codes and Cryptography 3 Discrete Applied Mathematics 3 Journal of Algebraic Combinatorics 3 Journal of Combinatorial Designs 2 The Australian Mathematical Society Gazette 2 The Australasian Journal of Combinatorics 2 Cryptography and Communications 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Journal of the Australian Mathematical Society. Series A 1 Applicable Algebra in Engineering, Communication and Computing 1 Congressus Numerantium 1 Bulletin of the Institute of Combinatorics and its Applications 1 Mathematical Problems in Engineering 1 Fundamenta Informaticae 1 Journal of the Australian Mathematical Society 1 Advances in Mathematics of Communications 1 Journal of Complex Networks
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### Fields

 30 Group theory and generalizations (20-XX) 28 Combinatorics (05-XX) 16 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 297 times in 170 Documents Cited by Year
Hadamard matrices and their applications. Zbl 1145.05014
2007
Cocyclic development of designs. Zbl 0785.05019
Horadam, K. J.; de Launey, W.
1993
Cocyclic Hadamard matrices and difference sets. Zbl 0956.05026
de Launey, Warwick; Flannery, D. L.; Horadam, K. J.
2000
Hadamard matrices and their applications: progress 2007–2010. Zbl 1198.15001
2010
Cocyclic Hadamard matrices over $${\mathbf Z}_ t\times {\mathbf Z}_ 2^ 2$$. Zbl 0838.05017
1995
A weak difference set construction for higher dimensional designs. Zbl 0838.05019
de Launey, W.; Horadam, K. J.
1993
Cocyclic generalised Hadamard matrices and central relative difference sets. Zbl 0919.05007
Perera, A. A. I.; Horadam, K. J.
1998
Generation of cocyclic Hadamard matrices. Zbl 0838.05018
Horadam, K. J.; de Launey, W.
1995
2000
Persistent homology of collaboration networks. Zbl 1299.91104
Carstens, C. J.; Horadam, K. J.
2013
A new construction of central relative $$(p^a,p^a,p^a,1)$$-difference sets. Zbl 1027.05013
2002
Bundles, presemifields and nonlinear functions. Zbl 1178.94190
Horadam, K. J.; Farmer, D. G.
2008
A quick test for nonisomorphism of one-relator groups. Zbl 0426.20022
1981
The word problem and related results for graph product groups. Zbl 0439.20024
1981
Relative difference sets fixed by inversion. III: Cocycle theoretical approach. Zbl 1159.05009
Chen, Yu Qing; Horadam, K. J.; Liu, Wei-Hung
2008
Progress in cocyclic matrices. Zbl 0898.05011
1996
Relative difference sets fixed by inversion. II: Character theoretical approach. Zbl 1070.05016
Liu, Wei-Hung; Chen, Yu Qing; Horadam, K. J.
2005
The conjugacy problem for graph products with central cyclic edge groups. Zbl 0512.20018
1984
Equivalence classes of central semiregular relative difference sets. Zbl 0953.05009
2000
Construction of proper higher dimensional Hadamard matrices from perfect binary arrays. Zbl 0917.05016
1998
The diagonal comultiplication on homology. Zbl 0456.20027
1981
Direct sums of balanced functions, perfect nonlinear functions, and orthogonal cocycles. Zbl 1136.94006
2008
EA and CCZ equivalence of functions over $$\mathrm{GF}(2^n)$$. Zbl 1247.94026
2008
The cup product and coproduct for a combinatorially aspherical group. Zbl 0538.20023
1984
The cup product for a graph product of combinatorially aspherical groups. Zbl 0795.20037
1990
Distances between sets based on set commonality. Zbl 1290.51006
Horadam, K. J.; Nyblom, M. A.
2014
The shift action on 2-cocycles. Zbl 1043.20026
2004
Erratum to “Cocyclic development of designs”. Zbl 0785.05020
Horadam, K. J.; de Launey, W.
1994
The conjugacy problem for HNN extensions with infinite cyclic associated groups. Zbl 0804.20029
Horadam, K. J.; Farr, G. E.
1994
Relative difference sets, graphs and inequivalence of functions between groups. Zbl 1291.05221
2010
The conjugacy problem for graph products with cyclic edge groups. Zbl 0477.20021
1983
A theory of highly nonlinear functions. Zbl 1125.94022
2006
The conjugacy problem for finite graph products. Zbl 0688.20014
1989
The homology of groupnets. Zbl 0364.20063
1977
An introduction to cocyclic generalised Hadamard matrices. Zbl 0943.05025
2000
A new class of ternary cocyclic Hadamard codes. Zbl 1028.94035
2003
Differentially 2-uniform cocycles – the binary case. Zbl 1031.94517
2003
Sequences from cocycles. Zbl 0981.94008
1999
Factorisation of semiregular relative difference sets. Zbl 0972.05011
Perera, A. A. I.; Horadam, K. J.
2000
The cohomology ring of an HNN extension of combinatorially aspherical groups. Zbl 0743.20049
1991
Codes from cocycles. Zbl 1042.94532
Horadam, K. J.; Perera, A. A. I.
1997
A polynomial approach to cocycles over elementary Abelian groups. Zbl 1193.20064
Farmer, D. G.; Horadam, K. J.
2008
The mapping cylinder resolution for a groupnet diagram. Zbl 0407.20022
1979
One-relator groups and the lower central series. I: The splitting isomorphism. Zbl 0467.20030
1982
Group algebra series and coboundary modules. Zbl 1201.20003
Lebel, Alain; Flannery, D. L.; Horadam, K. J.
2010
The cohomology ring of a combinatorially aspherical group. Zbl 0692.20041
1989
Differential uniformity for arrays. Zbl 1123.94346
2003
Equivalence classes of functions between finite groups. Zbl 1376.20030
2012
Distances between sets based on set commonality. Zbl 1290.51006
Horadam, K. J.; Nyblom, M. A.
2014
Persistent homology of collaboration networks. Zbl 1299.91104
Carstens, C. J.; Horadam, K. J.
2013
Equivalence classes of functions between finite groups. Zbl 1376.20030
2012
Hadamard matrices and their applications: progress 2007–2010. Zbl 1198.15001
2010
Relative difference sets, graphs and inequivalence of functions between groups. Zbl 1291.05221
2010
Group algebra series and coboundary modules. Zbl 1201.20003
Lebel, Alain; Flannery, D. L.; Horadam, K. J.
2010
Bundles, presemifields and nonlinear functions. Zbl 1178.94190
Horadam, K. J.; Farmer, D. G.
2008
Relative difference sets fixed by inversion. III: Cocycle theoretical approach. Zbl 1159.05009
Chen, Yu Qing; Horadam, K. J.; Liu, Wei-Hung
2008
Direct sums of balanced functions, perfect nonlinear functions, and orthogonal cocycles. Zbl 1136.94006
2008
EA and CCZ equivalence of functions over $$\mathrm{GF}(2^n)$$. Zbl 1247.94026
2008
A polynomial approach to cocycles over elementary Abelian groups. Zbl 1193.20064
Farmer, D. G.; Horadam, K. J.
2008
Hadamard matrices and their applications. Zbl 1145.05014
2007
A theory of highly nonlinear functions. Zbl 1125.94022
2006
Relative difference sets fixed by inversion. II: Character theoretical approach. Zbl 1070.05016
Liu, Wei-Hung; Chen, Yu Qing; Horadam, K. J.
2005
The shift action on 2-cocycles. Zbl 1043.20026
2004
A new class of ternary cocyclic Hadamard codes. Zbl 1028.94035
2003
Differentially 2-uniform cocycles – the binary case. Zbl 1031.94517
2003
Differential uniformity for arrays. Zbl 1123.94346
2003
A new construction of central relative $$(p^a,p^a,p^a,1)$$-difference sets. Zbl 1027.05013
2002
Cocyclic Hadamard matrices and difference sets. Zbl 0956.05026
de Launey, Warwick; Flannery, D. L.; Horadam, K. J.
2000
2000
Equivalence classes of central semiregular relative difference sets. Zbl 0953.05009
2000
An introduction to cocyclic generalised Hadamard matrices. Zbl 0943.05025
2000
Factorisation of semiregular relative difference sets. Zbl 0972.05011
Perera, A. A. I.; Horadam, K. J.
2000
Sequences from cocycles. Zbl 0981.94008
1999
Cocyclic generalised Hadamard matrices and central relative difference sets. Zbl 0919.05007
Perera, A. A. I.; Horadam, K. J.
1998
Construction of proper higher dimensional Hadamard matrices from perfect binary arrays. Zbl 0917.05016
1998
Codes from cocycles. Zbl 1042.94532
Horadam, K. J.; Perera, A. A. I.
1997
Progress in cocyclic matrices. Zbl 0898.05011
1996
Cocyclic Hadamard matrices over $${\mathbf Z}_ t\times {\mathbf Z}_ 2^ 2$$. Zbl 0838.05017
1995
Generation of cocyclic Hadamard matrices. Zbl 0838.05018
Horadam, K. J.; de Launey, W.
1995
Erratum to “Cocyclic development of designs”. Zbl 0785.05020
Horadam, K. J.; de Launey, W.
1994
The conjugacy problem for HNN extensions with infinite cyclic associated groups. Zbl 0804.20029
Horadam, K. J.; Farr, G. E.
1994
Cocyclic development of designs. Zbl 0785.05019
Horadam, K. J.; de Launey, W.
1993
A weak difference set construction for higher dimensional designs. Zbl 0838.05019
de Launey, W.; Horadam, K. J.
1993
The cohomology ring of an HNN extension of combinatorially aspherical groups. Zbl 0743.20049
1991
The cup product for a graph product of combinatorially aspherical groups. Zbl 0795.20037
1990
The conjugacy problem for finite graph products. Zbl 0688.20014
1989
The cohomology ring of a combinatorially aspherical group. Zbl 0692.20041
1989
The conjugacy problem for graph products with central cyclic edge groups. Zbl 0512.20018
1984
The cup product and coproduct for a combinatorially aspherical group. Zbl 0538.20023
1984
The conjugacy problem for graph products with cyclic edge groups. Zbl 0477.20021
1983
One-relator groups and the lower central series. I: The splitting isomorphism. Zbl 0467.20030
1982
A quick test for nonisomorphism of one-relator groups. Zbl 0426.20022
1981
The word problem and related results for graph product groups. Zbl 0439.20024
1981
The diagonal comultiplication on homology. Zbl 0456.20027
1981
The mapping cylinder resolution for a groupnet diagram. Zbl 0407.20022
1979
The homology of groupnets. Zbl 0364.20063
1977
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### Cited by 196 Authors

 28 Horadam, Kathy J. 15 Armario, José ándrés 13 Alvarez, Victor 12 Frau, María Dolores 9 Flannery, Dane Laurence 9 Gudiel, Félix 8 de Launey, Warwick 8 Egan, Ronan 7 Chen, Yuqing 7 Ó Catháin, Padraig 6 Kotsireas, Ilias S. 5 Güemes, Maria Belén 5 Stepanov, Sergei Alexandrovich 4 Bailera, Iván 4 Falcón Ganfornina, Raúl Manuel 4 Mitrouli, Marilena 4 Östergård, Patric R. J. 4 Osuna, Amparo 4 Real, Pedro 4 Rifà, Josep 3 Banica, Teodor 3 Borges, Joaquim 3 Đoković, Dragomir Ž. 3 Farmer, D. G. 3 Pott, Alexander 3 Szöllősi, Ferenc 2 Cheng, Chingshui 2 Craigen, Robert 2 Hernández Serrano, Daniel 2 Jedwab, Jonathan 2 Kao, Ming-Hung 2 Koukouvinos, Christos 2 Lampio, Pekka H. J. 2 LeBel, Alain C. 2 Liu, Wei-Hung 2 Meyer Lockhart, Jody 2 Nechita, Ion 2 Ren, Shiquan 2 Sánchez Gómez, Darío 2 Seberry, Jennifer R. 2 Stafford, Richard M. 2 Suárez-Canedo, Emilio 2 Weiß, Armin 2 Wu, Chengyuan 2 Wu, Jie 1 Adcock, Mark R. A. 1 Akbari, Saieed 1 Ali, Farman 1 Alimov, Alexey R. 1 Andonov, Rumen A. 1 Aragón Artacho, Francisco Javier 1 Arasu, Krishnasamy Thiru 1 Baftani, Farzaneh Farhang 1 Bahmani, Asghar 1 Baker, Owen 1 Balakrishnan, Narayanaswamy 1 Barrera Acevedo, Santiago 1 Barros e Sá, Nuno 1 Benedetto, John Joseph 1 Bengtsson, Ingemar 1 Berardi, Luigia 1 Bianconi, Ginestra 1 Boudic-Jamin, Mathilde Le 1 Bright, Curtis 1 Browne, Patrick J. 1 Bulutoglu, Dursun A. 1 Burstein, Richard D. 1 Campoy, Rubén 1 Cariow, Aleksandr 1 Caro-Lopera, Francisco José 1 Carstens, Corrie Jacobien 1 Cassese, Daniele 1 Chan, Eunice Y. S. 1 Chan, Justin H. C. 1 Chen, Zhu 1 Cheon, Taksu 1 Cho, Jung Rae 1 Chowdhury, Samir 1 Christou, Dimitrios 1 Chung, Yu-Min 1 Compton, B. 1 Cordwell, Katherine 1 Corless, Robert Malcolm 1 Cui, Shawn Xingshan 1 Das, Ashish 1 Dempwolff, Ulrich 1 Desmedt, Yvo G. 1 Diekert, Volker 1 Dietrich, Heiko 1 Djidjev, Hristo Nicolov 1 Doro, Stephen 1 Farouk, Adda 1 Farr, Graham E. 1 Faucher, G. 1 Friedland, Shmuel 1 Gagola, Stephen M. III 1 Galati, John C. 1 Ganesh, Vijay 1 García-Reyes, Carlos-Eduardo 1 Geyer, Andrew J. ...and 96 more Authors
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### Cited in 69 Serials

 14 Designs, Codes and Cryptography 9 Journal of Pure and Applied Algebra 9 Linear Algebra and its Applications 8 Journal of Combinatorial Theory. Series A 8 Journal of Combinatorial Designs 7 Discrete Mathematics 7 Proceedings of the American Mathematical Society 6 Cryptography and Communications 5 Discrete Applied Mathematics 4 Journal of Mathematical Physics 4 Problems of Information Transmission 4 Journal of Symbolic Computation 3 Communications in Algebra 3 Journal of Statistical Planning and Inference 3 European Journal of Combinatorics 3 Journal of Algebraic Combinatorics 3 Special Matrices 2 Applied Mathematics and Computation 2 Journal of Algebra 2 Discrete Mathematics and Applications 2 Numerical Algorithms 2 Applicable Algebra in Engineering, Communication and Computing 2 Mathematics in Computer Science 2 Advances in Mathematics of Communications 1 Bulletin of the Australian Mathematical Society 1 European Journal of Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Combinatorica 1 Facta Universitatis. Series Mathematics and Informatics 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 The Australasian Journal of Combinatorics 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Séminaire Lotharingien de Combinatoire 1 Open Systems & Information Dynamics 1 Journal of Combinatorial Optimization 1 Annals of Combinatorics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of the Australian Mathematical Society 1 Quantum Information Processing 1 Journal of Discrete Algorithms 1 Algorithms 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Theoretical Biology 1 Journal of Function Spaces 1 Open Mathematics 1 Journal of Applied and Computational Topology
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### Cited in 32 Fields

 96 Combinatorics (05-XX) 40 Group theory and generalizations (20-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 30 Information and communication theory, circuits (94-XX) 14 Computer science (68-XX) 10 Statistics (62-XX) 8 Number theory (11-XX) 8 Algebraic topology (55-XX) 8 Numerical analysis (65-XX) 7 Quantum theory (81-XX) 5 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Category theory; homological algebra (18-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX)

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