MinT - Information on Result #817553

Information on Result #817553

Linear OOA(3¹⁵⁷, 142, F₃, 2, 51) (dual of [(142, 2), 127, 52]-NRT-code), using OOA 2-folding based on linear OA(3¹⁵⁷, 284, F₃, 51) (dual of [284, 127, 52]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁵⁷, 285, F₃, 51) (dual of [285, 128, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁵, 57, F₈₁, 25) (dual of [57, 32, 26]-code or 57-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.