MinT - Information on Result #2259761

Information on Result #2259761

Linear OA(2⁸⁶, 106, F₂, 34) (dual of [106, 20, 35]-code), using 3 times code embedding in larger space based on linear OA(2⁸³, 103, F₂, 34) (dual of [103, 20, 35]-code), using

1 times truncation [i] based on linear OA(2⁸⁴, 104, F₂, 35) (dual of [104, 20, 36]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16⁸, 13, F₁₆, 8) (dual of [13, 5, 9]-code or 13-arc in PG(7,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁸, 16, F₁₆, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
      - Reedâ€“Solomon code RS(8,16) [i]
  2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
    - Reedâ€“Muller code RM(1,3) [i]
    - caps in base bÂ =Â 2 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.