MinT - Information on Result #3282417

Information on Result #3282417

Digital (23, 60, 642)-net over F₂₅₆, using 1 times m-reduction based on digital (23, 61, 642)-net over F₂₅₆, using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256⁶¹, 642, F₂₅₆, 3, 38) (dual of [(642, 3), 1865, 39]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256²¹, 321, F₂₅₆, 3, 19) (dual of [(321, 3), 942, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,943P) [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]
  2. linear OOA(256⁴⁰, 321, F₂₅₆, 3, 38) (dual of [(321, 3), 923, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,924P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)

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.