MinT - Information on Result #815057

Information on Result #815057

Linear OOA(3⁷², 54, F₃, 2, 31) (dual of [(54, 2), 36, 32]-NRT-code), using OOA 2-folding based on linear OA(3⁷², 108, F₃, 31) (dual of [108, 36, 32]-code), using

concatenation of two codes [i] based on
1. 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.