MinT - Information on Result #957222

Information on Result #957222

Linear OOA(3²¹⁹, 159, F₃, 3, 60) (dual of [(159, 3), 258, 61]-NRT-code), using OOA 3-folding based on linear OA(3²¹⁹, 477, F₃, 60) (dual of [477, 258, 61]-code), using

discarding factors / shortening the dual code based on linear OA(3²¹⁹, 479, F₃, 60) (dual of [479, 260, 61]-code), using
- 1 times truncation [i] based on linear OA(3²²⁰, 480, F₃, 61) (dual of [480, 260, 62]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(81³¹, 96, F₈₁, 30) (dual of [96, 65, 31]-code), using
      - discarding factors / shortening the dual code based on linear OA(81³¹, 100, F₈₁, 30) (dual of [100, 69, 31]-code), using
        extended algebraic-geometric code AG_e(F,69P) [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]
    2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.