Hu, Chuangqiang creator Yang, Shudi text New Delhi , 2023 monographic eng

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1239-1248p. 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. ***______{For Hard Copy, Please visit Library.}________*** Riemann-Roch space| Function field| AG code 0019-5588 https://doi.org/10.1007/s13226-022-00337-3 https://doi.org/10.1007/s13226-022-00337-3 240205 20240205123617.0