MinT - Information on Result #958421

Information on Result #958421

Linear OOA(3¹⁹⁶, 93, F₃, 3, 73) (dual of [(93, 3), 83, 74]-NRT-code), using OOA 3-folding based on linear OA(3¹⁹⁶, 279, F₃, 73) (dual of [279, 83, 74]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, 280, F₃, 73) (dual of [280, 84, 74]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁴², 70, F₂₇, 36) (dual of [70, 28, 37]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁴², 75, F₂₇, 36) (dual of [75, 33, 37]-code), using
      - algebraic-geometric code AG(F,38P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, 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.