Information on Result #1298041

Linear OA(377, 96, F3, 38) (dual of [96, 19, 39]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), using
    • the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(364, 83, F3, 29) (dual of [83, 19, 30]-code), using Gilbert–VarÅ¡amov bound and bm = 364 > Vbs−1(k−1) = 2 418011 146132 443172 536804 996681 [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.