MinT - Information on Result #854038

Information on Result #854038

Linear OOA(9¹¹¹, 85, F₉, 2, 55) (dual of [(85, 2), 59, 56]-NRT-code), using OOA 2-folding based on linear OA(9¹¹¹, 170, F₉, 55) (dual of [170, 59, 56]-code), using

discarding factors / shortening the dual code based on linear OA(9¹¹¹, 171, F₉, 55) (dual of [171, 60, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁷, 57, F₈₁, 27) (dual of [57, 30, 28]-code or 57-arc in PG(26,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
      - Reedâ€“Solomon code RS(54,81) [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.