MinT - Information on Result #2475959

Information on Result #2475959

Linear OOA(8¹⁵⁶, 86, F₈, 2, 125) (dual of [(86, 2), 16, 126]-NRT-code), using 2 step truncation based on linear OOA(8¹⁵⁸, 87, F₈, 2, 127) (dual of [(87, 2), 16, 128]-NRT-code), using

constructionÂ X applied to AG(2;F,0P) âŠ‚ AG(2;F,29P) [i] based on
1. linear OOA(8¹²⁷, 64, F₈, 2, 127) (dual of [(64, 2), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
  - the Suzuki function field over F₈ [i]
2. linear OOA(8¹¹², 64, F₈, 2, 98) (dual of [(64, 2), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
3. linear OOA(8³¹, 23, F₈, 2, 28) (dual of [(23, 2), 15, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8³¹, 24, F₈, 2, 28) (dual of [(24, 2), 17, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
      - the Klein quartic over F₈ [i]

Mode: Constructive and linear.

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.