000			01336nam a22002057a 4500
005			20240205123617.0
008			240205b ||||| |||| 00| 0 eng d
022			_a0019-5588
100			_aHu, Chuangqiang
245			_aAn Approach to the Bases of Riemann-Roch Spaces (Journal Article)
260			_aNew Delhi _::Indian National Science Academy | Springer _c, 2023
300			_a1239-1248p.
440			_aIndian Journal of Pure and Applied Mathematics _v, Volume 54: Number 4, December 2023
505			_a***______{For Hard Copy, Please visit Library.}________***
520			_aAbstract: 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.
650			_aRiemann-Roch space| Function field| AG code
700			_aYang, Shudi
856			_uhttps://doi.org/10.1007/s13226-022-00337-3
942			_cPER
999			_c45425 _d45424