MinT - Information on Result #956892

Information on Result #956892

Linear OOA(3¹⁹², 133, F₃, 3, 57) (dual of [(133, 3), 207, 58]-NRT-code), using OOA 3-folding based on linear OA(3¹⁹², 399, F₃, 57) (dual of [399, 207, 58]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁹², 400, F₃, 57) (dual of [400, 208, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁸, 80, F₈₁, 28) (dual of [80, 52, 29]-code or 80-arc in PG(27,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁸, 81, F₈₁, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
      - Reedâ€“Solomon code RS(53,81) [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.