MinT - Information on Result #956035

Information on Result #956035

Linear OOA(3¹⁷³, 128, F₃, 3, 49) (dual of [(128, 3), 211, 50]-NRT-code), using OOA 3-folding based on linear OA(3¹⁷³, 384, F₃, 49) (dual of [384, 211, 50]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁷³, 385, F₃, 49) (dual of [385, 212, 50]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁴, 77, F₈₁, 24) (dual of [77, 53, 25]-code or 77-arc in PG(23,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁴, 81, F₈₁, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
      - Reedâ€“Solomon code RS(57,81) [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.