MinT - Information on Result #854154

Information on Result #854154

Linear OOA(9¹¹¹, 82, F₉, 2, 57) (dual of [(82, 2), 53, 58]-NRT-code), using OOA 2-folding based on linear OA(9¹¹¹, 164, F₉, 57) (dual of [164, 53, 58]-code), using

discarding factors / shortening the dual code based on linear OA(9¹¹¹, 165, F₉, 57) (dual of [165, 54, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁸, 55, F₈₁, 28) (dual of [55, 27, 29]-code or 55-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(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.