MinT - Information on Result #957932

Information on Result #957932

Linear OOA(3²⁴⁹, 181, F₃, 3, 67) (dual of [(181, 3), 294, 68]-NRT-code), using OOA 3-folding based on linear OA(3²⁴⁹, 543, F₃, 67) (dual of [543, 294, 68]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁴⁹, 545, F₃, 67) (dual of [545, 296, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁵, 109, F₈₁, 33) (dual of [109, 74, 34]-code), using
    - discarding factors / shortening the dual code based on linear OA(81³⁵, 115, F₈₁, 33) (dual of [115, 80, 34]-code), using
      - algebraic-geometric code AG(F,81P) [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, 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.