MinT - Information on Result #954027

Information on Result #954027

Linear OOA(3⁶⁹, 33, F₃, 3, 30) (dual of [(33, 3), 30, 31]-NRT-code), using OOA 3-folding based on linear OA(3⁶⁹, 99, F₃, 30) (dual of [99, 30, 31]-code), using

1 times truncation [i] based on linear OA(3⁷⁰, 100, F₃, 31) (dual of [100, 30, 32]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁵, 25, F₂₇, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁵, 27, F₂₇, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
      - Reedâ€“Solomon code RS(12,27) [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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.