MinT - Information on Result #958085

Information on Result #958085

Linear OOA(3²¹⁰, 123, F₃, 3, 69) (dual of [(123, 3), 159, 70]-NRT-code), using OOA 3-folding based on linear OA(3²¹⁰, 369, F₃, 69) (dual of [369, 159, 70]-code), using

discarding factors / shortening the dual code based on linear OA(3²¹⁰, 370, F₃, 69) (dual of [370, 160, 70]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁴, 74, F₈₁, 34) (dual of [74, 40, 35]-code or 74-arc in PG(33,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³⁴, 81, F₈₁, 34) (dual of [81, 47, 35]-code or 81-arc in PG(33,81)), using
      - Reedâ€“Solomon code RS(47,81) [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.