Published January 1, 2018 | Version v1
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A new concatenated type construction for LCD codes and isometry codes

  • 1. Sabanci Univ, FENS, TR-34956 Istanbul, Turkey
  • 2. Univ Paris 08, CNRS, LAGA, F-93526 St Denis, France

Description

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 Gtineri et al. (2016). In particular, it allows us to construct LCD codes with improved parameters directly. (C) 2017 Elsevier B.V. All rights reserved.

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