MinT - Information on Result #957875

Information on Result #957875

Linear OOA(3¹⁸¹, 89, F₃, 3, 67) (dual of [(89, 3), 86, 68]-NRT-code), using OOA 3-folding based on linear OA(3¹⁸¹, 267, F₃, 67) (dual of [267, 86, 68]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁸¹, 268, F₃, 67) (dual of [268, 87, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27³⁸, 67, F₂₇, 33) (dual of [67, 29, 34]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁸, 68, F₂₇, 33) (dual of [68, 30, 34]-code), using
      - extended algebraic-geometric code AG_e(F,34P) [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, using
        a function field by SÃ©mirat [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.