Equivalence of Hadamard Matrices Whose Rows Form a Vector Space 


Vol. 34,  No. 7, pp. 635-639, Jul.  2009


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  Abstract

In this paper, we show that any two Hadamard matrices of the same size are equivalent if they have the property that the rows of each Hadamard matrix are closed under binary vector addition. One of direct consequences of this result is that the equivalence between cyclic Hadamard matrices constructed by maximal length sequences and Walsh-Hadamard matrix of the same size generated by Kronecker product can be established.

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  Cite this article

[IEEE Style]

S. Jin, J. Kim, K. Park, H. Song, "Equivalence of Hadamard Matrices Whose Rows Form a Vector Space," The Journal of Korean Institute of Communications and Information Sciences, vol. 34, no. 7, pp. 635-639, 2009. DOI: .

[ACM Style]

Seok-Yong Jin, Jeong-Heon Kim, Ki-Hyeon Park, and Hong-Yeop Song. 2009. Equivalence of Hadamard Matrices Whose Rows Form a Vector Space. The Journal of Korean Institute of Communications and Information Sciences, 34, 7, (2009), 635-639. DOI: .

[KICS Style]

Seok-Yong Jin, Jeong-Heon Kim, Ki-Hyeon Park, Hong-Yeop Song, "Equivalence of Hadamard Matrices Whose Rows Form a Vector Space," The Journal of Korean Institute of Communications and Information Sciences, vol. 34, no. 7, pp. 635-639, 7. 2009.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880