MinT - Information on Result #956657

Information on Result #956657

Linear OOA(3¹⁷⁰, 103, F₃, 3, 55) (dual of [(103, 3), 139, 56]-NRT-code), using OOA 3-folding based on linear OA(3¹⁷⁰, 309, F₃, 55) (dual of [309, 139, 56]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁷⁰, 310, F₃, 55) (dual of [310, 140, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁷, 62, F₈₁, 27) (dual of [62, 35, 28]-code or 62-arc in PG(26,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
      - Reedâ€“Solomon code RS(54,81) [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.