MinT - Information on Result #1810377

Information on Result #1810377

Digital (10, 27, 128)-net over F₄₉, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(49²⁷, 128, F₄₉, 3, 17) (dual of [(128, 3), 357, 18]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(49⁹, 64, F₄₉, 3, 8) (dual of [(64, 3), 183, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,183P) [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(49¹⁸, 64, F₄₉, 3, 17) (dual of [(64, 3), 174, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,174P) [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64 (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.