MinT - Information on Result #1810512

Information on Result #1810512

Digital (14, 37, 142)-net over F₄₉, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(49³⁷, 142, F₄₉, 2, 23) (dual of [(142, 2), 247, 24]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(49¹², 64, F₄₉, 2, 11) (dual of [(64, 2), 116, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,116P) [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OOA(49²⁵, 78, F₄₉, 2, 23) (dual of [(78, 2), 131, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,132P) [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, 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.