Hu, Chuangqiang  <br/><br/>
An Approach to the Bases of Riemann-Roch Spaces (Journal Article) 

 - New Delhi   , 2023 
 - 1239-1248p. 
 - Indian Journal of Pure and Applied Mathematics   , Volume 54: Number 4, December 2023 .
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<br/><br/> 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. 
<br/><br/><label>ISSN: </label>0019-5588 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Riemann-Roch space| Function field| AG code