… a particular construction of bivariate Abelian Codes from cyclic codes, multiplying their
dimension and preserving their apparent distance. In the case of cyclic codes whose maximum …

… construction of bivariate Abelian Codes from cyclic codes, multiplying their dimension and
… We show that, in the case of cyclic codes whose maximum BCH bound equals its minimum …

… 2 we list matrix construction techniques for error-correcting codes … of abelian codes, where
the underlying group G is abelian (… multiplication in G, it should be possible to replace a code …

… effected by multiplying the coordinates … code is -quasi-cyclic ( -QC) if is an integer such
that cyclic shift of a codeword by positions gives another codeword. We call the Abelian codes …

… binary linear codes that are invariant under the action of … We study a non-Abelian randomized
construction … a randomized Abelian construction based on the action of an Abelian group …

… v, k, A) cyclic difference set exists with v = n. This method is further generalized to work (Section
III) whenever an Abelian difference set exists. In this case, the cyclic nature of the vectors …

… In this paper, we give a necessary and sufficient condition for minimal Abelian codes to be -…
A similar construction of idempotents for rational group algebras of Abelian groups is given in …

… cyclic codes have a concatenated construction, and are asymptotically bad. Nevertheless,
such codes … results now follow from Proposition 2.5 and Lemma 4.8, by multiplying the sizes of …

… into the word c ∈ (Fq)n is just the matrix multiplication mG = c. When the generator matrix is
in … of the SC, since it permits a simpler construction of the theory. The ways of getting around …

… -abelian codes are just quasi-cyclic codes once G is cyclic. … classes of codes: (1) binary
quasi-abelian codes of index 2; (2… and co-index 2m if and only if it is invariant by multiplying any f(…