Information on Result #1300627

Linear OA(4188, 270, F4, 88) (dual of [270, 82, 89]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4185, 266, F4, 88) (dual of [266, 81, 89]-code), using
    • construction X applied to C([85,172]) ⊂ C([86,171]) [i] based on
      1. linear OA(4184, 257, F4, 88) (dual of [257, 73, 89]-code), using the BCH-code C(I) with length 257 | 48−1, defining interval I = {85,86,…,172}, and designed minimum distance d ≥ |I|+1 = 89 [i]
      2. linear OA(4176, 257, F4, 86) (dual of [257, 81, 87]-code), using the BCH-code C(I) with length 257 | 48−1, defining interval I = {86,87,…,171}, and designed minimum distance d ≥ |I|+1 = 87 [i]
      3. linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
  2. linear OA(4185, 267, F4, 85) (dual of [267, 82, 86]-code), using Gilbert–VarÅ¡amov bound and bm = 4185 > Vbs−1(k−1) = 825 670706 802290 753615 161478 817764 438594 478913 980732 447991 546995 467136 147230 115617 726715 250068 042518 241912 429856 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.