CONSTACYCLIC AND QUASI-TWISTED HERMITIAN SELF-DUAL CODES OVER FINITE FIELDS

摘要

Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields are studied. An alternative algorithm for factorizing x(n) - lambda over F-q2 is given, where lambda is a unit in F-q2. Based on this factorization, the dimensions of the Hermitian hulls of lambda-constacyclic codes of length n over F-q2 are determined. The characterization and enumeration of constacyclic Hermitian self-dual (resp., complementary dual) codes of length n over F-q2 are given through their Hermitian hulls. Subsequently, a new family of MDS constacyclic Hermitian self-dual codes over F-q2 is introduced.