Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
This paper overviews the study of skew<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew<mml:math …