Information on Result #1298419

Linear OA(3123, 144, F3, 60) (dual of [144, 21, 61]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3107, 123, F3, 62) (dual of [123, 16, 63]-code), using
    • construction X applied to C([0,60]) ⊂ C([1,60]) [i] based on
      1. linear OA(3106, 121, F3, 62) (dual of [121, 15, 63]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,60], and minimum distance d ≥ |{−1,0,…,60}|+1 = 63 (BCH-bound) [i]
      2. linear OA(3105, 121, F3, 60) (dual of [121, 16, 61]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
      3. linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
  2. linear OA(3107, 128, F3, 51) (dual of [128, 21, 52]-code), using Gilbert–VarÅ¡amov bound and bm = 3107 > Vbs−1(k−1) = 1122 836710 196093 959039 658491 439318 592772 831765 997739 [i]
  3. linear OA(311, 16, F3, 8) (dual of [16, 5, 9]-code), using

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.