MinT - Information on Result #2524754

Information on Result #2524754

OOA(4²³⁹, 246, S₄, 2, 80), using 4¹ times duplication based on OOA(4²³⁸, 246, S₄, 2, 80), using

trace code [i] based on OOA(16¹¹⁹, 123, S₁₆, 2, 80), using
- discarding parts of the base [i] based on linear OOA(32⁹⁵, 123, F₃₂, 2, 80) (dual of [(123, 2), 151, 81]-NRT-code), using
  - constructionÂ X applied to AG(2;F,157P) âŠ‚ AG(2;F,162P) [i] based on
    1. linear OOA(32⁹¹, 119, F₃₂, 2, 80) (dual of [(119, 2), 147, 81]-NRT-code), using algebraic-geometric NRT-code AG(2;F,157P) [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(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 (see above)
    3. linear OOA(32⁴, 4, F₃₂, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(32⁴, 32, F₃₂, 2, 4) (dual of [(32, 2), 60, 5]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(2;60,32) [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.