MinT - Information on Result #2526321

Information on Result #2526321

OOA(16⁹¹, 124, S₁₆, 2, 56), using 16¹ times duplication based on OOA(16⁹⁰, 124, S₁₆, 2, 56), using

discarding parts of the base [i] based on linear OOA(32⁷², 124, F₃₂, 2, 56) (dual of [(124, 2), 176, 57]-NRT-code), using
- constructionÂ X applied to AG(2;F,181P) âŠ‚ AG(2;F,187P) [i] based on
  1. linear OOA(32⁶⁷, 119, F₃₂, 2, 56) (dual of [(119, 2), 171, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,181P) [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(32⁶¹, 119, F₃₂, 2, 50) (dual of [(119, 2), 177, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,187P) [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.