MinT - Information on Result #1809086

Information on Result #1809086

Digital (33, 77, 275)-net over F₃₂, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(32⁷⁷, 275, F₃₂, 2, 44) (dual of [(275, 2), 473, 45]-NRT-code), using

constructionÂ X applied to AG(2;F,499P) âŠ‚ AG(2;F,503P) [i] based on
1. linear OOA(32⁷⁴, 272, F₃₂, 2, 44) (dual of [(272, 2), 470, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,499P) [i] based on function field F/F₃₂ with g(F) = 30 and N(F) ≥ 273, using
  - a curve from the manYPoints database [i]
2. linear OOA(32⁷⁰, 272, F₃₂, 2, 40) (dual of [(272, 2), 474, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,503P) [i] based on function field F/F₃₂ with g(F) = 30 and N(F) ≥ 273 (see above)
3. linear OOA(32³, 3, F₃₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(32³, 32, F₃₂, 2, 3) (dual of [(32, 2), 61, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;61,32) [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.