MinT - Information on Result #957900

Information on Result #957900

Linear OOA(3²⁰⁹, 128, F₃, 3, 67) (dual of [(128, 3), 175, 68]-NRT-code), using OOA 3-folding based on linear OA(3²⁰⁹, 384, F₃, 67) (dual of [384, 175, 68]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁰⁹, 385, F₃, 67) (dual of [385, 176, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³³, 77, F₈₁, 33) (dual of [77, 44, 34]-code or 77-arc in PG(32,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³³, 81, F₈₁, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), using
      - Reedâ€“Solomon code RS(48,81) [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.