MinT - Information on Result #953909

Information on Result #953909

Linear OOA(3⁶⁴, 29, F₃, 3, 29) (dual of [(29, 3), 23, 30]-NRT-code), using OOA 3-folding based on linear OA(3⁶⁴, 87, F₃, 29) (dual of [87, 23, 30]-code), using

discarding factors / shortening the dual code based on linear OA(3⁶⁴, 88, F₃, 29) (dual of [88, 24, 30]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁴, 22, F₂₇, 14) (dual of [22, 8, 15]-code or 22-arc in PG(13,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
      - Reedâ€“Solomon code RS(13,27) [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.