Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

This paper studies and classifies all binary self-dual [62, 31, 12] and [64, 32, 12] codes
having an automorphism of order 7 with 8 cycles. This classification is done by applying a …

There is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq
and linear codes over a ring R= Fq [Y]/(Ym− 1). Using this correspondence, we prove that …

Let C be a binary extremal self-dual code of length n¿ 48. We prove that for each¿¿ Aut (C)
of prime order p¿ 5 the number of fixed points in the permutation action on the coordinate …

By applying a method for constructing binary self-dual codes with an automorphism of odd
prime order pp, we give a full classification of all optimal binary self-dual codes of length 50 …

Additive codes over $\mathbb {F} _4 $ are connected to binary quantum codes in [9]. As a
natural generalization, nonbinary quantum codes in characteristic $ p $ are connected to …

The quaternary Hermitian self-dual [18, 9, 6] 4 codes are classified and used to construct
new binary self-dual [54, 27, 10] 2 codes. All self-dual [54, 27, 10] 2 codes obtained have …

On the classification of binary self-dual [44, 22, 8] codes with an automorphism of order 3 or 7 |
International Journal of Information and Coding Theory Skip to main content Site Logo, redirects …

We develop a construction method of isodual codes over GF (q), where q is a prime power;
we construct isodual codes over GF (q) of length 2 n+ 2 from isodual codes over GF (q) of …

We study self-dual codes over a factor ring R= F q [X]/(X m− 1) of length ℓ, equivalently, ℓ-
quasi-cyclic self-dual codes of length mℓ over a finite field F q, provided that the polynomial …