Information on Result #1298372

Linear OA(3109, 126, F3, 57) (dual of [126, 17, 58]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3102, 118, F3, 57) (dual of [118, 16, 58]-code), using
    • 5 times truncation [i] based on 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(3102, 119, F3, 50) (dual of [119, 17, 51]-code), using Gilbert–VarÅ¡amov bound and bm = 3102 > Vbs−1(k−1) = 3 861826 607153 216621 653814 070979 119679 458852 603801 [i]
  3. linear OA(36, 7, F3, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,3)), 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.