MinT - Information on Result #1814707

Information on Result #1814707

Digital (19, 52, 610)-net over F₂₅₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵², 610, F₂₅₆, 5, 33) (dual of [(610, 5), 2998, 34]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁷, 289, F₂₅₆, 5, 16) (dual of [(289, 5), 1428, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1428P) [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(256³⁵, 321, F₂₅₆, 5, 33) (dual of [(321, 5), 1570, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1571P) [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.