Information on Result #737322

Linear OA(4130, 4132, F4, 27) (dual of [4132, 4002, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
  1. linear OA(4121, 4096, F4, 27) (dual of [4096, 3975, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4130, 2066, F4, 2, 27) (dual of [(2066, 2), 4002, 28]-NRT-code) [i]OOA Folding
2Linear OOA(4130, 1377, F4, 3, 27) (dual of [(1377, 3), 4001, 28]-NRT-code) [i]