MinT - Information on Result #850070

Information on Result #850070

Linear OOA(8¹³³, 69, F₈, 2, 110) (dual of [(69, 2), 5, 111]-NRT-code), using OOA 2-folding based on linear OA(8¹³³, 138, F₈, 110) (dual of [138, 5, 111]-code), using

juxtaposition [i] based on
1. linear OA(8⁷, 12, F₈, 6) (dual of [12, 5, 7]-code), using
  - discarding factors / shortening the dual code based on linear OA(8⁷, 14, F₈, 6) (dual of [14, 7, 7]-code), using
    - extended algebraic-geometric code AG_e(F,7P) [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.