A minimum distance bound for quasi-nD-cyclic codes
FINITE FIELDS AND THEIR APPLICATIONS, cilt.41, ss.193-222, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41
- Basım Tarihi: 2016
- Doi Numarası: 10.1016/j.ffa.2016.06.004
- Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.193-222
- 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
- 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.