\input zb-basic
\input zb-ioport
\iteman{io-port 06093215}
\itemau{Gulliver, T.Aaron; Parker, Matthew G.}
\itemti{Extended binary linear codes from Legendre sequences.}
\itemso{Ars Comb. 100, 435-447 (2011).}
\itemab
Summary: A construction based on Legendre sequences is presented for a doubly-extended binary linear code of length $2p+2$ and dimension $p+1$. This code has a double circulant structure. For $p=4k+3$, we obtain a doubly-even self-dual code. Another construction is given for a class of triply extended rate $1/3$ codes of length $3p+3$ and dimension $p+1$. For $p=4k+1$, these codes are doubly-even self-orthogonal.
\itemrv{~}
\itemcc{}
\itemut{binary linear code; double circulant code; Legendre sequence}
\itemli{}
\end