MinT - Information on Result #2213710

Information on Result #2213710

Linear OA(8¹³², 137, F₈, 108) (dual of [137, 5, 109]-code), using strength reduction based on linear OA(8¹³², 137, F₈, 109) (dual of [137, 5, 110]-code), using

juxtaposition [i] based on
1. linear OA(8⁶, 11, F₈, 5) (dual of [11, 5, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(8⁶, 14, F₈, 5) (dual of [14, 8, 6]-code), using
    - extended algebraic-geometric code AG_e(F,8P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
      - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OA(8¹²¹, 126, F₈, 103) (dual of [126, 5, 104]-code), using
  - a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva [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.