MinT - Information on Result #959325

Information on Result #959325

Linear OOA(3²³⁶, 113, F₃, 3, 85) (dual of [(113, 3), 103, 86]-NRT-code), using OOA 3-folding based on linear OA(3²³⁶, 339, F₃, 85) (dual of [339, 103, 86]-code), using

discarding factors / shortening the dual code based on linear OA(3²³⁶, 340, F₃, 85) (dual of [340, 104, 86]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81⁴², 68, F₈₁, 42) (dual of [68, 26, 43]-code or 68-arc in PG(41,81)), using
    - discarding factors / shortening the dual code based on linear OA(81⁴², 81, F₈₁, 42) (dual of [81, 39, 43]-code or 81-arc in PG(41,81)), using
      - Reedâ€“Solomon code RS(39,81) [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.