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Asymptotically good quantum codes exceeding the Ashikhmin-Litsyn-Tsfasman bound
It is known that quantum error correction can be achieved using classical binary codes or additive codes over F4 (see , , ). In  and , asymptotically good quantum codes from algebraic-geometry codes were ...
Duadic codes over F2 + uF2
Duadic codes over F2+uF2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a ...
On the algebraic structure of quasi-cyclic codes I : finite fields
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cyclic code over a field as a linear code over an auxiliary ring. By the use of the Chinese remainder theorem (CRT), or of the ...