Information on Result #1300970

Linear OA(4249, 266, F4, 159) (dual of [266, 17, 160]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4229, 245, F4, 159) (dual of [245, 16, 160]-code), using
    • 12 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
  2. linear OA(4229, 246, F4, 139) (dual of [246, 17, 140]-code), using Gilbert–VarÅ¡amov bound and bm = 4229 > Vbs−1(k−1) = 488415 271162 655543 936452 573923 507454 413994 879357 532124 119364 787141 416249 176718 512403 830766 292382 232094 983910 149887 986513 052392 821722 598172 [i]
  3. linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4249, 266, F4, 158) (dual of [266, 17, 159]-code) [i]Strength Reduction
2Linear OA(4249, 266, F4, 157) (dual of [266, 17, 158]-code) [i]