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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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

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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