MinT - Information on Result #1297131

Information on Result #1297131

Linear OA(256⁴⁹, 610, F₂₅₆, 31) (dual of [610, 561, 32]-code), using (u,Â u+v)-construction based on

linear OA(256¹⁶, 289, F₂₅₆, 15) (dual of [289, 273, 16]-code), using
- extended algebraic-geometric code AG_e(F,273P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
  - sharp bound on the number of rational points on curves with genus 1 [i]
linear OA(256³³, 321, F₂₅₆, 31) (dual of [321, 288, 32]-code), using
- extended algebraic-geometric code AG_e(F,289P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
  - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

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