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Fast operations for certain two alphabet circulant matrices

Conference Paper


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Abstract


  • In order to efficiently compute some combinatorial designs based upon circulant matrices which have different, defined numbers of 1's and 0's in each row and column we need to find candidate vectors with differing weights and Hamming distances. This paper concentrates on how to efficiently create such circulant matrices. These circulant matrices have applications in signal processing, public key codes and spectography

Publication Date


  • 2013

Citation


  • Awyzio, G. & Seberry, J. (2013). Fast operations for certain two alphabet circulant matrices. In H. R. Arabnia, G. A. Gravvanis, G. Jandieri, A. M. G. Solo & F. G. Tinetti (Eds.), Proceedings of the 13th International Conference on Scientific Computing (CSC) (pp. 234-238). United States: CSREA Press.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3341&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2332

Start Page


  • 234

End Page


  • 238

Place Of Publication


  • http://worldcomp-proceedings.com/proc/proc2013/csc.html

Abstract


  • In order to efficiently compute some combinatorial designs based upon circulant matrices which have different, defined numbers of 1's and 0's in each row and column we need to find candidate vectors with differing weights and Hamming distances. This paper concentrates on how to efficiently create such circulant matrices. These circulant matrices have applications in signal processing, public key codes and spectography

Publication Date


  • 2013

Citation


  • Awyzio, G. & Seberry, J. (2013). Fast operations for certain two alphabet circulant matrices. In H. R. Arabnia, G. A. Gravvanis, G. Jandieri, A. M. G. Solo & F. G. Tinetti (Eds.), Proceedings of the 13th International Conference on Scientific Computing (CSC) (pp. 234-238). United States: CSREA Press.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3341&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2332

Start Page


  • 234

End Page


  • 238

Place Of Publication


  • http://worldcomp-proceedings.com/proc/proc2013/csc.html