MinT - Information on Result #834132

Information on Result #834132

Linear OOA(4²⁰⁰, 109, F₄, 2, 125) (dual of [(109, 2), 18, 126]-NRT-code), using OOA 2-folding based on linear OA(4²⁰⁰, 218, F₄, 125) (dual of [218, 18, 126]-code), using

2 times truncation [i] based on linear OA(4²⁰², 220, F₄, 127) (dual of [220, 18, 128]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³⁵, 44, F₁₆, 31) (dual of [44, 9, 32]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³⁵, 45, F₁₆, 31) (dual of [45, 10, 32]-code), using
      - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
    - extended Reedâ€“Solomon code RS_e(2,4) [i]
    - Simplex code S(2,4) [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.