Information on Result #1298076

Linear OA(381, 100, F3, 40) (dual of [100, 19, 41]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(368, 84, F3, 41) (dual of [84, 16, 42]-code), using
    • 2 times code embedding in larger space [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(368, 87, F3, 31) (dual of [87, 19, 32]-code), using Gilbert–VarÅ¡amov bound and bm = 368 > Vbs−1(k−1) = 186 074164 880946 199430 712055 917849 [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.