MinT - Information on Result #1297143

Information on Result #1297143

Linear OA(256⁴⁵, 610, F₂₅₆, 28) (dual of [610, 565, 29]-code), using (u,Â u+v)-construction based on

linear OA(256¹⁵, 289, F₂₅₆, 14) (dual of [289, 274, 15]-code), using
- extended algebraic-geometric code AG_e(F,274P) [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(256³⁰, 321, F₂₅₆, 28) (dual of [321, 291, 29]-code), using
- extended algebraic-geometric code AG_e(F,292P) [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.

None.

None.