@article {IOPORT.05895824,
    author       = {Ezerman, Martianus Frederic and Ling, San and Sol\'e, Patrick and Yemen, Olfa},
    title        = {From skew-cyclic codes to asymmetric quantum codes.},
    year         = {2011},
    journal      = {Advances in Mathematics of Communications},
    volume       = {5},
    number       = {1},
    issn         = {1930-5346},
    pages        = {41-57},
    publisher    = {Shandong University, Jinan; American Institute of Mathematical Sciences, Springfield, MO},
    doi          = {10.3934/amc.2011.5.41},
    abstract     = {Summary: We introduce an additive but not $\Bbb F_4$-linear map $S$ from $\Bbb F_4^n$ to $\Bbb F_4^{2n}$ and exhibit some of its interesting structural properties. If $C$ is a linear $[n,k,d]4$-code, then $S(C)$ is an additive $(2n,2^{2k},2d)_4$-code. If $C$ is an additive cyclic code then $S(C)$ is an additive quasi-cyclic code of index 2. Moreover, if $C$ is a module $\theta$-cyclic code, a recently introduced type of code which will be explained below, then $S(C)$ is equivalent to an additive cyclic code if $n$ is odd and to an additive quasi-cyclic code of index 2 if $n$ is even. Given any $(n,M,d)_4$-code $C$, the code $S(C)$ is self-orthogonal under the trace Hermitian inner product. Since the mapping $S$ preserves nestedness, it can be used as a tool in constructing additive asymmetric quantum codes.},
    identifier   = {05895824},
}