MinT - Information on Result #847748

Information on Result #847748

Linear OOA(8¹¹³, 82, F₈, 2, 59) (dual of [(82, 2), 51, 60]-NRT-code), using OOA 2-folding based on linear OA(8¹¹³, 164, F₈, 59) (dual of [164, 51, 60]-code), using

discarding factors / shortening the dual code based on linear OA(8¹¹³, 165, F₈, 59) (dual of [165, 52, 60]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁹, 55, F₆₄, 29) (dual of [55, 26, 30]-code or 55-arc in PG(28,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
      - Reedâ€“Solomon code RS(35,64) [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.