Geodesic
Symmetric Conference Matrices of Order pq 2 + 1
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 321-331

Voir la notice de l'article provenant de la source Cambridge University Press

A conference matrix of order n is a square matrix C with zeros on the diagonal and ±1 elsewhere, which satisfies the orthogonality condition CCT = (n — 1)I. If in addition C is symmetric, C =CT, then its order n is congruent to 2 modulo 4 (see [5]). Symmetric conference matrices (C) are related to several important combinatorial configurations such as regular two-graphs, equiangular lines, Hadamard matrices and balanced incomplete block designs [1; 5; and 7, pp. 293-400]. We shall require several definitions. 
Mathon, Rudolf. Symmetric Conference Matrices of Order pq 2 + 1. Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 321-331. doi: 10.4153/CJM-1978-029-1
@article{10_4153_CJM_1978_029_1,
     author = {Mathon, Rudolf},
     title = {Symmetric {Conference} {Matrices} of {Order} pq 2 + 1},
     journal = {Canadian journal of mathematics},
     pages = {321--331},
     year = {1978},
     volume = {30},
     number = {2},
     doi = {10.4153/CJM-1978-029-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-029-1/}
}
TY  - JOUR
AU  - Mathon, Rudolf
TI  - Symmetric Conference Matrices of Order pq 2 + 1
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 321
EP  - 331
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-029-1/
DO  - 10.4153/CJM-1978-029-1
ID  - 10_4153_CJM_1978_029_1
ER  - 
%0 Journal Article
%A Mathon, Rudolf
%T Symmetric Conference Matrices of Order pq 2 + 1
%J Canadian journal of mathematics
%D 1978
%P 321-331
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-029-1/
%R 10.4153/CJM-1978-029-1
%F 10_4153_CJM_1978_029_1

[1] 1. Belevitch, V., Conference networks and Hadamard matrices, Ann. Soc. Scientifique Brux. T. 82 (1968), 13–32. Google Scholar

[2] 2. Delsarte, P., An algebraic approach to the association schemes of coding theory, Philips Res. Repts. Suppl. No. 10 (1973). Google Scholar

[3] 3. Goethals, J. M., and Seidel, J. J., Orthogonal matrices with zero diagonal, Can. J. Math. 19 (1967), 1001–1010. Google Scholar

[4] 4. Mathon, R., 3-class association schemes, Proc. Conf. on Algebraic Aspects of Combinatorics, U. of Toronto (1975), 123–155. Google Scholar

[5] 5. Seidel, J. J., A survey of two-graphs, Proc. Int. Coll. Théorie Combinatorie, Ace. Naz. Lincei, Roma (1973). Google Scholar

[6] 6. Turyn, R. J., On C-matrices of arbitrary powers, Can. J. Math. 23 (1971), 531–535. Google Scholar

[7] 7. Wallis, W. D., Street, A., and Wallis, J., Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices, Lecture Notes in Math. 292 (Springer-Verlag, New York, 1972). Google Scholar

Cité par Sources :