Information on Result #1298013

Linear OA(375, 94, F3, 37) (dual of [94, 19, 38]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(362, 78, F3, 37) (dual of [78, 16, 38]-code), using
    • 4 times truncation [i] based on linear OA(366, 82, F3, 41) (dual of [82, 16, 42]-code), using
      • contraction [i] based on linear OA(3148, 164, F3, 83) (dual of [164, 16, 84]-code), using the BCH-code C(I) with length 164 | 38−1, defining interval I = {0,1,…,82}, and designed minimum distance d ≥ |I|+1 = 84 [i]
  2. linear OA(362, 81, F3, 28) (dual of [81, 19, 29]-code), using Gilbert–VarÅ¡amov bound and bm = 362 > Vbs−1(k−1) = 273581 295404 823744 843448 177729 [i]
  3. 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.