MinT - Information on Result #1809321

Information on Result #1809321

Digital (36, 85, 278)-net over F₃₂, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(32⁸⁵, 278, F₃₂, 2, 49) (dual of [(278, 2), 471, 50]-NRT-code), using

constructionÂ X applied to AG(2;F,494P) âŠ‚ AG(2;F,501P) [i] based on
1. linear OOA(32⁷⁹, 272, F₃₂, 2, 49) (dual of [(272, 2), 465, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,494P) [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(32⁷², 272, F₃₂, 2, 42) (dual of [(272, 2), 472, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,501P) [i] based on function field F/F₃₂ with g(F) = 30 and N(F) ≥ 273 (see above)
3. linear OOA(32⁶, 6, F₃₂, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(32⁶, 32, F₃₂, 2, 6) (dual of [(32, 2), 58, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;58,32) [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.