MinT - Information on Result #2524684

Information on Result #2524684

OOA(4²²⁹, 248, S₄, 2, 75), using 4¹ times duplication based on OOA(4²²⁸, 248, S₄, 2, 75), using

trace code [i] based on OOA(16¹¹⁴, 124, S₁₆, 2, 75), using
- discarding parts of the base [i] based on linear OOA(32⁹¹, 124, F₃₂, 2, 75) (dual of [(124, 2), 157, 76]-NRT-code), using
  - constructionÂ X applied to AG(2;F,162P) âŠ‚ AG(2;F,168P) [i] based on
    1. linear OOA(32⁸⁶, 119, F₃₂, 2, 75) (dual of [(119, 2), 152, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,162P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
      - a function field by SÃ©mirat [i]
    2. linear OOA(32⁸⁰, 119, F₃₂, 2, 69) (dual of [(119, 2), 158, 70]-NRT-code), using algebraic-geometric NRT-code AG(2;F,168P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
    3. linear OOA(32⁵, 5, F₃₂, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(32⁵, 32, F₃₂, 2, 5) (dual of [(32, 2), 59, 6]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(2;59,32) [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.