TY  - BOOK
AU  - Hu, Chuangqiang 
AU  - Yang, Shudi 
TI  - An Approach to the Bases of Riemann-Roch Spaces (Journal Article)
SN  - 0019-5588
PY  - 2023///
CY  - New Delhi 
KW  - Riemann-Roch space| Function field| AG code
N1  - ***______{For Hard Copy, Please visit Library.}________***


N2  - Abstract: For applications in algebraic geometric codes, it is extremely useful to give an explicit description of the bases of Riemann-Roch spaces associated to divisors on function fields over finite fields. We demonstrate a general approach to construct such a monomial basis for the related Riemann-Roch space. More precisely we present a criterion for finding an explicit basis for the Riemann-Roch space of a three-point divisor. Furthermore, we improve an upper bound for the genus of the related function field. Some examples are also given to illustrate our general approach
UR  - https://doi.org/10.1007/s13226-022-00337-3
ER  -