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This article studies skew generalized quasi-cyclic codes (SGQC-codes) over finite fields for any length n. We derive generator polynomials and cardinality of SGQC codes. Moreover, we show that the dual of any length SGQC-code is also an SGQC-code. Our search results lead to the construction of fifteen new 2-generator SGQC codes over the finite field F 4 with minimum distances exceeding the minimum distances of the previously best known F 4 -linear codes with comparable parameters. [ABSTRACT FROM AUTHOR]

Cyclic codes of odd length over Z4 have been studied by many authors. But what is the form of cylic codes of even length? The structure of cyclic codes of length n=2e, for any positive integer e is considered. We show that any cyclic code is an ideal in the ring Rn=Z4[x]/〈xn−1〉. We show that the ring Rn is a local ring but not a principal ideal ring. Also, we find the set of generators for cyclic codes. Examples of cyclic codes of such length are given. [Copyright &y& Elsevier]