CirculantGH(p
2; Z
p
) exist for all primesp |
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| Authors: | Warwick de Launey |
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| Institution: | (1) Cryptomathematics Group Communications Division, Electronic Research Laboratory, Defence Science and Technology Organisation, Australia |
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| Abstract: | The only known circulant ordinary Hadamard matrix is developed from the initial row-1, 1, 1, 1. Letp be a prime, and letZ
p
denote the cyclic group of orderp. In this paper, we construct circulantGH(p
2;Z
p
) for all primesp. Whenp is odd, this result also extends the earlier result that there exist circulantGH(p;Z
p
) for all odd primesp. Other families ofGH-matrices which are developed modulo a group are discussed. |
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| Keywords: | |
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