Information on Result #1317804

Linear OA(3118, 141, F3, 57) (dual of [141, 23, 58]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3106, 126, F3, 57) (dual of [126, 20, 58]-code), using
  2. linear OA(3106, 129, F3, 49) (dual of [129, 23, 50]-code), using Gilbert–VarÅ¡amov bound and bm = 3106 > Vbs−1(k−1) = 172 651484 860595 114280 879636 254654 687785 078172 842497 [i]
  3. linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
    • 1 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
      • Simplex code S(3,3) [i]
      • the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]

Mode: 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.