mathbb \mathbb [u] –Cyclic and Constacyclic Codes

Following the very recent studies on ℤ 2 ℤ 4 -additive codes, ℤ 2 ℤ 2 [u]-linear codes have been introduced by Aydogdu et al. In this paper, we introduce and study the algebraic structure of cyclic, constacyclic codes and their duals over the R-module Z 2 α R β where R = ℤ 2 +uℤ 2 = {0, 1, u, u + 1}...

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Veröffentlicht in:	IEEE transactions on information theory 2017-08, Vol.63 (8), p.4883-4893
Hauptverfasser:	Aydogdu, Ismail, Abualrub, Taher, Siap, Irfan
Format:	Artikel
Sprache:	eng
Schlagworte:	Additives Binary codes Binary system bounds Codes constacyclic codes cyclic codes duality Generators Linear codes Mathematics Structural rings Zinc Z₂Z₂[<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">u ]-linear cyclic codes
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