MinT - Information on Result #957308

Information on Result #957308

Linear OOA(3²⁰⁹, 141, F₃, 3, 61) (dual of [(141, 3), 214, 62]-NRT-code), using OOA 3-folding based on linear OA(3²⁰⁹, 423, F₃, 61) (dual of [423, 214, 62]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁰⁹, 425, F₃, 61) (dual of [425, 216, 62]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³¹, 85, F₈₁, 30) (dual of [85, 54, 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.