MinT - Information on Result #854317

Information on Result #854317

Linear OOA(9¹¹², 79, F₉, 2, 60) (dual of [(79, 2), 46, 61]-NRT-code), using OOA 2-folding based on linear OA(9¹¹², 158, F₉, 60) (dual of [158, 46, 61]-code), using

1 times truncation [i] based on linear OA(9¹¹³, 159, F₉, 61) (dual of [159, 46, 62]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁰, 53, F₈₁, 30) (dual of [53, 23, 31]-code or 53-arc in PG(29,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³⁰, 81, F₈₁, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
      - Reedâ€“Solomon code RS(51,81) [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.