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A new concatenated type construction for LCD codes and isometry codes |
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| Authors: | Claude Carlet Cem Güneri Ferruh Özbudak Patrick Solé |
| Affiliation: | 1. Department of Mathematics, University of Paris VIII, France;2. University of Paris XIII, LAGA UMR 7539, CNRS, France;3. Sabanc? University, FENS, 34956 ?stanbul, Turkey;4. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey;5. CNRS/LAGA, University of Paris VIII, 93 526 Saint-Denis, France |
| Abstract: | We give a new concatenated type construction for linear codes with complementary dual (LCD) over small finite fields. In this construction,we need a special class of inner codes that we call isometry codes. Our construction generalizes a recent construction of Carlet et al. (2014–2016) and of Güneri et al. (2016). In particular, it allows us to construct LCD codes with improved parameters directly. |
| Keywords: | LCD code Concatenation Isometry code |
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