MinT - Information on Result #954152

Information on Result #954152

Linear OOA(3⁷¹, 34, F₃, 3, 31) (dual of [(34, 3), 31, 32]-NRT-code), using OOA 3-folding based on linear OA(3⁷¹, 102, F₃, 31) (dual of [102, 31, 32]-code), using

discarding factors / shortening the dual code based on linear OA(3⁷¹, 104, F₃, 31) (dual of [104, 33, 32]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁵, 26, F₂₇, 15) (dual of [26, 11, 16]-code or 26-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.