MinT - Information on Result #847118

Information on Result #847118

Linear OOA(8⁸⁵, 52, F₈, 2, 51) (dual of [(52, 2), 19, 52]-NRT-code), using OOA 2-folding based on linear OA(8⁸⁵, 104, F₈, 51) (dual of [104, 19, 52]-code), using

discarding factors / shortening the dual code based on linear OA(8⁸⁵, 105, F₈, 51) (dual of [105, 20, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁵, 35, F₆₄, 25) (dual of [35, 10, 26]-code or 35-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.