Hi, Thank you for your reply. I will look into the implementation of QR codes over non-prime fields.
All the best, Gerli esmaspäev, 24. märts 2014 12:54.29 UTC+2 kirjutas David Joyner: > On Mon, Mar 24, 2014 at 6:28 AM, Gerli Viikmaa 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.
