We shall derive conditions in which a general formula for the dimension of q-ary trace codes induced by algebraic-geometric codes. Significant to this result are several dimension reducing methods for the underlying functions spaces associated to q-ary trace codes.
Cite
@article{arxiv.0902.1729,
title = {On the Dimension of AG Trace Codes},
author = {Phong Le and Sunil Chetty},
journal= {arXiv preprint arXiv:0902.1729},
year = {2016}
}