MinT - Information on Result #1104741

Information on Result #1104741

Linear OOA(3¹²³, 27, F₃, 5, 71) (dual of [(27, 5), 12, 72]-NRT-code), using OOA 5-folding based on linear OA(3¹²³, 135, F₃, 71) (dual of [135, 12, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹¹, 15, F₂₇, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹¹, 27, F₂₇, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
    - Reedâ€“Solomon code RS(16,27) [i]
2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
    - projective code from ovoid in PG(3,Â 3) [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.