Structure of group invariant weighing matrices of small weight

We show that every weighing matrix of weight n invariant under a finite abelian group G can be generated from a subgroup H of G with |H|≤2^(n−1). Furthermore, if n is an odd prime power and a proper circulant weighing matrix of weight n and order v exists, then v≤2^(n−1). We also obtain a lower boun...

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Bibliographic Details
Main Authors: Leung, Ka Hin, Schmidt, Bernhard
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/87721
http://hdl.handle.net/10220/44477
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Institution: Nanyang Technological University
Language: English