Is there a location where one can access generator matrices (not just bounds) of best known linear codes?



Generator Matrices of Best Known Linear Codes
There is a Magma BKLC (Best Known Linear Codes, i.e., linear $[n,k,d]\_q$-codes, which have the highest minimum weight among all known linear $[n, k,d]\_q$-codes)
database. It contains also generator matrices.
The construction of this Magma BKLC database has been undertaken by John Cannon (Sydney), Markus Grassl (Karlsruhe) and Greg White (Sydney). For references, examples and the online Magma calculator see the links given in the comments.   

Perhaps also interesting is the page on "best linear codes", <http://www.algorithm.uni-bayreuth.de/en/research/Coding_Theory/Linear_Codes_BKW/>, which contains recently found new best linear codes.


