MinT - Information on Result #854700

Information on Result #854700

Linear OOA(9¹³³, 100, F₉, 2, 67) (dual of [(100, 2), 67, 68]-NRT-code), using OOA 2-folding based on linear OA(9¹³³, 200, F₉, 67) (dual of [200, 67, 68]-code), using

discarding factors / shortening the dual code based on linear OA(9¹³³, 201, F₉, 67) (dual of [201, 68, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³³, 67, F₈₁, 33) (dual of [67, 34, 34]-code or 67-arc in PG(32,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³³, 81, F₈₁, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), using
      - Reedâ€“Solomon code RS(48,81) [i]
  2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 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.