MinT - Information on Result #847136

Information on Result #847136

Linear OOA(8¹⁰³, 79, F₈, 2, 51) (dual of [(79, 2), 55, 52]-NRT-code), using OOA 2-folding based on linear OA(8¹⁰³, 158, F₈, 51) (dual of [158, 55, 52]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁰³, 159, F₈, 51) (dual of [159, 56, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁵, 53, F₆₄, 25) (dual of [53, 28, 26]-code or 53-arc in PG(24,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
      - Reedâ€“Solomon code RS(39,64) [i]
  2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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.