… methods for constructing many self-dual codes are known, where I … self-dual Z m -codes
starting from a given self-dual Z m -… For a given binary doubly even self-dual code B of length 24 …

… Self-dual codes have received an extensive attention since the 1960’s due to … Double
Toeplitz codes (DT for short). We characterize self-dual DT codes as double circulant or double …

… construction, for formally selfdual codes over Z2k for every positive … , double-circulant matrices,
and bordered double-circulant … That is, they find formally self-dual codes over Z4 by taking …

… , Type II Z2k-codes were defined in [2] as self-dual codes with … some basic properties of
self-dual codes, weighing matrices, … An n × n matrix M is circulant and negacirculant if M has the …

… We defined a Type II code over Z2k as a self-dual code with all codewords having … codes
and the MacKay codes as bordered double circulant codes since the matrix W is a circulant …

… generalized to self-dual codes over Z2k with connections to … GF(pr ) have been developed,
and self-dual codes over Zpm … family of self-dual quadratic double circulant codes over GR(…

… of many new self-dual codes over small finite fields and rings… to construct self-orthogonal and
self dual codes over GF pfi, … circulant matrices, a system of Diophantine equations over GF…

… discuss self-dual dihedral and dicyclic codes over Z4 in this section. Self-dual codes over …
|A], with A a special type of matrix, such as a circulant or bordered circulant matrix. However, …

… Hermitian self-dual if and only if such a matrix generates a Euclidean self-dual code over F2.
… Moreover, this case contains the known case of double circulant codes (see [10, Section VI.…

… to be useful in construction of self-dual codes over large fields. In this paper, we … circulant
matrices. We apply some orthogonal designs of order 12 to construct new self-dual codes over …