MinT - Information on Result #1814760

Information on Result #1814760

Digital (20, 55, 610)-net over F₂₅₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁵, 610, F₂₅₆, 5, 35) (dual of [(610, 5), 2995, 36]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁸, 289, F₂₅₆, 5, 17) (dual of [(289, 5), 1427, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1427P) [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(256³⁷, 321, F₂₅₆, 5, 35) (dual of [(321, 5), 1568, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1569P) [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.