MinT - Information on Result #956226

Information on Result #956226

Linear OOA(3¹⁶⁷, 111, F₃, 3, 51) (dual of [(111, 3), 166, 52]-NRT-code), using OOA 3-folding based on linear OA(3¹⁶⁷, 333, F₃, 51) (dual of [333, 166, 52]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁶⁷, 335, F₃, 51) (dual of [335, 168, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁵, 67, F₈₁, 25) (dual of [67, 42, 26]-code or 67-arc in PG(24,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁵, 81, F₈₁, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
      - Reedâ€“Solomon code RS(56,81) [i]
  2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 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.