MinT - Information on Result #1814506

Information on Result #1814506

Digital (15, 39, 610)-net over F₂₅₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256³⁹, 610, F₂₅₆, 3, 24) (dual of [(610, 3), 1791, 25]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹³, 289, F₂₅₆, 3, 12) (dual of [(289, 3), 854, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,854P) [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]
2. linear OOA(256²⁶, 321, F₂₅₆, 3, 24) (dual of [(321, 3), 937, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,938P) [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.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.