MinT - Information on Result #2526393

Information on Result #2526393

OOA(16¹⁰⁶, 125, S₁₆, 2, 67), using 16¹ times duplication based on OOA(16¹⁰⁵, 125, S₁₆, 2, 67), using

discarding parts of the base [i] based on linear OOA(32⁸⁴, 125, F₃₂, 2, 67) (dual of [(125, 2), 166, 68]-NRT-code), using
- constructionÂ X applied to AG(2;F,170P) âŠ‚ AG(2;F,177P) [i] based on
  1. linear OOA(32⁷⁸, 119, F₃₂, 2, 67) (dual of [(119, 2), 160, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,170P) [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(32⁷¹, 119, F₃₂, 2, 60) (dual of [(119, 2), 167, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,177P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (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: 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.