diff --git a/codes/classical/properties/block/symmetry/cyclic/quasi_cyclic.yml b/codes/classical/properties/block/symmetry/cyclic/quasi_cyclic.yml index 03050ec4d..8f62792b2 100644 --- a/codes/classical/properties/block/symmetry/cyclic/quasi_cyclic.yml +++ b/codes/classical/properties/block/symmetry/cyclic/quasi_cyclic.yml @@ -10,7 +10,7 @@ introduced: '\cite{doi:10.1109/TIT.1967.1053974}' description: | A block code of length \(n\) is quasi-cyclic if, for each codeword \(c_1 \cdots c_{\ell} c_{\ell+1} \cdots c_n\), the string \(c_{n-\ell+1} \cdots c_n c_1 \cdots c_{n-\ell}\), where each entry is cyclically shifted by \(\ell\) increments, is also a codeword. - Code for which \(\ell = 1\) are cyclic, while codes for which \(\ell = 2\) are called \cite{double circulant}. + Code for which \(\ell = 1\) are cyclic, while codes for which \(\ell = 2\) are called \textit{double circulant}. The generator of an \([mn_0,mk_0]\) quasi-cyclic linear code is representable as a block matrix of \(m \times m\) circulant matrices \cite{manual:{Thomas A. Gulliver, \href{https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.3623}{Construction of quasi-cyclic codes}, Thesis, University of New Brunswick, 1989.}}.