Necklaces: Generalizations

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Date
2015-06-01
Authors
Venkaiah, V. Ch
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Abstract
A q-ary necklace of length n is an equivalence class of q-coloured strings of length n under rotation. In this article, we study various generalizations and derive analytical expressions to count the number of these generalized necklaces. Also discussed are the various relations among the generalized necklaces, circulant matrices, and twistulant matrices.
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Keywords
circulant matrices, finite fields, linear codes, q-ray necklaces, twistulant
Citation
Resonance. v.20(6)