MinT - Information on Result #2526452

Information on Result #2526452

OOA(16¹¹⁶, 122, S₁₆, 2, 78), using 16¹ times duplication based on OOA(16¹¹⁵, 122, S₁₆, 2, 78), using

discarding parts of the base [i] based on linear OOA(32⁹², 122, F₃₂, 2, 78) (dual of [(122, 2), 152, 79]-NRT-code), using
- constructionÂ X applied to AG(2;F,159P) âŠ‚ AG(2;F,163P) [i] based on
  1. linear OOA(32⁸⁹, 119, F₃₂, 2, 78) (dual of [(119, 2), 149, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,159P) [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(32⁸⁵, 119, F₃₂, 2, 74) (dual of [(119, 2), 153, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,163P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (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: 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.