Information on Result #737320

Linear OA(4148, 4132, F4, 31) (dual of [4132, 3984, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. linear OA(4139, 4096, F4, 31) (dual of [4096, 3957, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using

Mode: Constructive and 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(4148, 2066, F4, 2, 31) (dual of [(2066, 2), 3984, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4148, 1377, F4, 3, 31) (dual of [(1377, 3), 3983, 32]-NRT-code) [i]