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On efficient balanced codes over the mth roots of unity

✍ Scribed by Mascella, R.; Tallini, L.G.; Al-Bassam, S.; Bose, B.


Book ID
114640227
Publisher
IEEE
Year
2006
Tongue
English
Weight
197 KB
Volume
52
Category
Article
ISSN
0018-9448

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On the matrices with constant determinan
✍ S. Akbari; H.-R. Fanaı̈; K. Mahmoudian πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 161 KB

Let Β΅ m be the group of mth roots of unity. In this paper it is shown that if m is a prime power, then the number of all square matrices (of any order) over Β΅ m with non-zero constant determinant or permanent is finite. If m is not a prime power, we construct an infinite family of matrices over Β΅ m