MinT - Information on Result #953419

Information on Result #953419

Linear OOA(3⁶², 34, F₃, 3, 25) (dual of [(34, 3), 40, 26]-NRT-code), using OOA 3-folding based on linear OA(3⁶², 102, F₃, 25) (dual of [102, 40, 26]-code), using

discarding factors / shortening the dual code based on linear OA(3⁶², 104, F₃, 25) (dual of [104, 42, 26]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹², 26, F₂₇, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
      - Reedâ€“Solomon code RS(15,27) [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.