MinT - Information on Result #847818

Information on Result #847818

Linear OOA(8¹¹⁵, 83, F₈, 2, 60) (dual of [(83, 2), 51, 61]-NRT-code), using OOA 2-folding based on linear OA(8¹¹⁵, 166, F₈, 60) (dual of [166, 51, 61]-code), using

discarding factors / shortening the dual code based on linear OA(8¹¹⁵, 167, F₈, 60) (dual of [167, 52, 61]-code), using
- 1 times truncation [i] based on linear OA(8¹¹⁶, 168, F₈, 61) (dual of [168, 52, 62]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64³⁰, 56, F₆₄, 30) (dual of [56, 26, 31]-code or 56-arc in PG(29,64)), using
      - discarding factors / shortening the dual code based on linear OA(64³⁰, 64, F₆₄, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
        Reedâ€“Solomon code RS(34,64) [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.