MinT - Information on Result #854022

Information on Result #854022

Linear OOA(9⁹⁵, 61, F₉, 2, 55) (dual of [(61, 2), 27, 56]-NRT-code), using OOA 2-folding based on linear OA(9⁹⁵, 122, F₉, 55) (dual of [122, 27, 56]-code), using

discarding factors / shortening the dual code based on linear OA(9⁹⁵, 123, F₉, 55) (dual of [123, 28, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁷, 41, F₈₁, 27) (dual of [41, 14, 28]-code or 41-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.