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Class of jacket matrices over finite characteristic fields

Class of jacket matrices over finite characteristic fields

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A modification of the classical Hadamard matrices is presented, which is defined over the fields of finite characteristic. The issue for the existence (necessary conditions) of odd order matrices of that kind is addressed. An application to cryptography of the corresponding linear transforms is pointed out.

References

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      • J.J. Sylvester . Thoughts on inverse orthogonal matrices, simultaneous sign successions, and tesselated pavements in two or more colours, with applications to Newton's rule, ornamental tile-work, and the theory of numbers. Philos. Mag. , 461 - 475
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      • R.L. Rivest , E. Biham . (1997) All-or-nothing encryption and the package transform.
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      • D.R. Stinson . Something about all or nothing (transforms). Des. Codes Cryptogr. , 133 - 138
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