Information on Result #1323764

Linear OA(4188, 16450, F4, 33) (dual of [16450, 16262, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
  1. linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(419, 66, F4, 9) (dual of [66, 47, 10]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(4188, 16450, F4, 2, 33) (dual of [(16450, 2), 32712, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4188, 16450, F4, 3, 33) (dual of [(16450, 3), 49162, 34]-NRT-code) [i]
3Digital (155, 188, 16450)-net over F4 [i]
4Linear OOA(4188, 8225, F4, 2, 33) (dual of [(8225, 2), 16262, 34]-NRT-code) [i]OOA Folding