Skip to content

Commit

Permalink
~
Browse files Browse the repository at this point in the history
  • Loading branch information
valbert4 committed Jan 7, 2025
1 parent 5905f8f commit 90e8b6a
Showing 1 changed file with 1 addition and 1 deletion.
Original file line number Diff line number Diff line change
Expand Up @@ -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.}}.
Expand Down

0 comments on commit 90e8b6a

Please sign in to comment.