Necessary conditions for the existence of group-invariant Butson Hadamard matrices and a new family of perfect arrays
Let G be a finite abelian group and let exp (G) denote the least common multiple of the orders of all elements of G. A BH(G,h) matrix is a G-invariant | G| × | G| matrix H whose entries are complex hth roots of unity such that HH∗= | G| I|G|. By νp(x) we denote the p-adic valuation of the integer x....
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| Format: | Article |
| Language: | English |
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2020
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| Online Access: | https://hdl.handle.net/10356/143067 |
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| Institution: | Nanyang Technological University |
| Language: | English |