MinT - Information on Result #957725

Information on Result #957725

Linear OOA(3²³⁰, 163, F₃, 3, 65) (dual of [(163, 3), 259, 66]-NRT-code), using OOA 3-folding based on linear OA(3²³⁰, 489, F₃, 65) (dual of [489, 259, 66]-code), using

discarding factors / shortening the dual code based on linear OA(3²³⁰, 490, F₃, 65) (dual of [490, 260, 66]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³³, 98, F₈₁, 32) (dual of [98, 65, 33]-code), using
    - discarding factors / shortening the dual code based on linear OA(81³³, 100, F₈₁, 32) (dual of [100, 67, 33]-code), using
      - extended algebraic-geometric code AG_e(F,67P) [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.