MinT - Information on Result #1297153

Information on Result #1297153

Linear OA(256⁴⁰, 610, F₂₅₆, 25) (dual of [610, 570, 26]-code), using (u,Â u+v)-construction based on

linear OA(256¹³, 289, F₂₅₆, 12) (dual of [289, 276, 13]-code), using
- extended algebraic-geometric code AG_e(F,276P) [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(256²⁷, 321, F₂₅₆, 25) (dual of [321, 294, 26]-code), using
- extended algebraic-geometric code AG_e(F,295P) [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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