The [72,36] Type 11 Self Dual Codes from Hadamard Matrices

Authors

  • Rowena T. Baylon-Cabrizos Instructor, Mathematical Sciences Department, Davao Oriental State College of Science and Technology

DOI:

https://doi.org/10.59120/drj.v4i1.62

Keywords:

code, self-dual, Hadamard matrices, doubly even, weight enumerator, minimum distance

Abstract

Consider a code [n,k,d] of length n, dimension k and of minimum distance d. Let R be a rate defined by the equation R = k/n. Mathematically, the main problem of coding theory is to find codes with large R (for efficiency) and large d (to correct many errors). This paper diseuses the binary [72,36] code constructed from Hadamard matrices.

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Author Biography

  • Rowena T. Baylon-Cabrizos, Instructor, Mathematical Sciences Department, Davao Oriental State College of Science and Technology

    Mati, Davao Oriental

References

Dougherty, S.T., T.A. Gulliver and M. Harada. 1997. External Binary Self Dual Codes. IEEE Trans. on Info. Theory. 43(6):2,036-2.

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Published

2001-12-04

Issue

Section

Articles

How to Cite

Baylon-Cabrizos, R. (2001). The [72,36] Type 11 Self Dual Codes from Hadamard Matrices. Davao Research Journal, 4(1), 56-63. https://doi.org/10.59120/drj.v4i1.62

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