MinT - Information on Result #817559

Information on Result #817559

Linear OOA(3¹⁶³, 157, F₃, 2, 51) (dual of [(157, 2), 151, 52]-NRT-code), using OOA 2-folding based on linear OA(3¹⁶³, 314, F₃, 51) (dual of [314, 151, 52]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁶³, 315, F₃, 51) (dual of [315, 152, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁵, 63, F₈₁, 25) (dual of [63, 38, 26]-code or 63-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.