Two Hadamard matrices of order 956 of Goethals-Seidel type

Abstract

No Hadamard matrices of order 956 appear in the literature. In this note we construct two such matrices. They are both of Goethals-Seidel type. As a consequence of this and of a result of Seberry and Yamada, we conclude that there exist 4-Williamson type matrices of order 1913.

This is a preview of subscription content, access via your institution.

References

  1. [1]

    D. Ž. Đoković: Skew Hadamard matrices of order 4.37 and 4.43,J. Combin. Theory, Ser. A61 (1992), 319–321.

    Google Scholar 

  2. [2]

    D. Ž. Đoković: Construction of some new Hadamard matrices,Bull. Austral. Math.Soc. 45 (1992), 327–332.

    Google Scholar 

  3. [3]

    D. Ž. Đoković: Ten new orders for Hadamard matrices of skew type,Publ. Elektrotechn. Fak. Ser. Matematika Univ. Beograd,3 (1992), 47–59.

    Google Scholar 

  4. [4]

    D. Ž Đoković: Ten Hadamard matrices of order 1852 of Goethals-Seidel type,European J. Comb. 13 (1992), 245–248.

    Google Scholar 

  5. [5]

    S. Kounias, andN. Farmakis: On the excess of Hadamard matrices,Discr. Math. 68 (1988), 59–69.

    Google Scholar 

  6. [6]

    J. Seberry Wallis:Hadamard Matrices, Part IV of “Combinatorics: Room Squares, Sum Free Sets, Hadamard Matrices” by W. D. Wallis, A. P. Street, and J. Seberry Wallis, in Lecture Notes in Mathematics, vol. 292,Springer-Verlag, Berlin-Heidelberg-New York, 1972.

    Google Scholar 

  7. [7]

    J. Seberry, andM. Yamada: On the products of Hadamard matrices, Williamson matrices and ootherorthogonal matrices using M-structures,J. Comb. Math. Comb. Comp. 7 (1990), 97–137.

    Google Scholar 

  8. [8]

    J. Seberry, andM. Yamada: Hadamard matrices, sequences, and block designs, in: “Contemporary Design Theory: A Collection of Surveys” J. Dinitz and D. Stinson, eds., Wiley-Interscience Series in Discrete Mathematics, New York, John Wiley, 1992.

    Google Scholar 

Download references

Author information

Affiliations

Authors

Additional information

This work was supported by NSERC of Canada Grants A-5285 and EQP0107539.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Đoković, D.Ž. Two Hadamard matrices of order 956 of Goethals-Seidel type. Combinatorica 14, 375–377 (1994). https://doi.org/10.1007/BF01212983

Download citation

AMS subject classification code (1991)

  • 05 B 20
  • 05 B 30