MinT - Information on Result #855074

Information on Result #855074

Linear OOA(9¹²⁵, 76, F₉, 2, 75) (dual of [(76, 2), 27, 76]-NRT-code), using OOA 2-folding based on linear OA(9¹²⁵, 152, F₉, 75) (dual of [152, 27, 76]-code), using

discarding factors / shortening the dual code based on linear OA(9¹²⁵, 153, F₉, 75) (dual of [153, 28, 76]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁷, 51, F₈₁, 37) (dual of [51, 14, 38]-code or 51-arc in PG(36,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³⁷, 81, F₈₁, 37) (dual of [81, 44, 38]-code or 81-arc in PG(36,81)), using
      - Reedâ€“Solomon code RS(44,81) [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.