Atıf İçin Kopyala
ÖZBUDAK F., Ozkaya B.
FINITE FIELDS AND THEIR APPLICATIONS, cilt.41, ss.193-222, 2016 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
41
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Basım Tarihi:
2016
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Doi Numarası:
10.1016/j.ffa.2016.06.004
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Dergi Adı:
FINITE FIELDS AND THEIR APPLICATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.193-222
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Anahtar Kelimeler:
Quasi-cyclic code, Multidimensional quasi-cyclic code, Multidimensional cyclic code, Trace representation, Multidimensional convolutional code, CONVOLUTIONAL-CODES, ALGEBRAIC STRUCTURE, FINITE-FIELDS, RATE 1/P, CONSTRUCTION
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
We provide a new concatenated structure for multidimensional quasi-cyclic (QnDC) codes over F-q and we give a trace representation for their codewords, which extends the known representations of QC and nD cyclic codes. Based on these results, we obtain a minimum distance bound for QnDC dyclic codes. Since QnDC codes are naturally related to nD convolutional codes, this bound also applies to a special class of 1-generator 2D convolutional codes. (C) 2016 Elsevier Inc. All rights reserved.