On Mon, Mar 24, 2014 at 6:28 AM, Gerli Viikmaa <gerliviik...@gmail.com> wrote: > Hi, > > I'm working on vectors of varying sizes on GF(4) and I'm currently trying to > implement the code given in > http://www.iks.kit.edu/home/grassl/codetables/BKLC/BKLC.php?q=4&n=8&k=2 > > The first step (Extend the QRCode over GF(4) of length 11) should give me a > [12, 6, 6] linear code - vectors of length 12, dimension 6, minimum (Hamming) > distance 6. > > But the execution > sage: codes.ExtendedQuadraticResidueCode(11, GF(4,'a')) > Linear code of length 12, dimension 11 over Finite Field in a of size 2^2 > > gives me a linear code of dimension 11. If my field size is prime, then I do > get a code with dimension 6. According to that source, the dimension should > be 6 with field size 4 as well. Why isn't it? >
Quadratic residue codes are defined over prime fields: http://en.wikipedia.org/wiki/Quadratic_residue_code If there is a generalization of QR codes to the extension field case, it is not implemented in Sage. Sorry. Feel free to implement it and submit a patch:-) (Alternatively, share your code on sage-devel.) > I'm running Sage Version 6.1.1, Release Date: 2014-02-04 on Ubuntu 12.04. > > Thank you in advance, > Gerli > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To post to this group, send email to sage-support@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
