DUAL CODES OF PRODUCT SEMI-LINEAR CODES
Luis Felipe, Andrea, Luigi Tironi · 2016
Let F q be a finite field with q elements and denote by θ : F q → F q an automorphism of F q . In this paper, we deal with linear codes of F q n invariant under a semi-linear map T : F q n → F q n for some n ≥ 2 . In particular, we study three kinds of their dual codes, some relations between them and we focus on codes which are products of module skew codes in the non-commutative polynomial ring as a subcase of linear codes invariant by a semi-linear map T . In this setting we give also an algorithm for encoding, decoding and detecting errors and we show a method to construct codes invariant under a fixed T .