MinT - Information on Result #2268038

Information on Result #2268038

Linear OA(3¹⁵¹, 172, F₃, 76) (dual of [172, 21, 77]-code), using 2 times code embedding in larger space based on linear OA(3¹⁴⁹, 170, F₃, 76) (dual of [170, 21, 77]-code), using

1 times truncation [i] based on linear OA(3¹⁵⁰, 171, F₃, 77) (dual of [171, 21, 78]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹², 19, F₂₇, 12) (dual of [19, 7, 13]-code or 19-arc in PG(11,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
      - Reedâ€“Solomon code RS(15,27) [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.

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

Other Results with Identical Parameters

None.

Depending Results

None.