Information on Result #737315

Linear OA(4190, 4132, F4, 40) (dual of [4132, 3942, 41]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
  1. linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4190, 2066, F4, 2, 40) (dual of [(2066, 2), 3942, 41]-NRT-code) [i]OOA Folding
2Linear OOA(4190, 1377, F4, 3, 40) (dual of [(1377, 3), 3941, 41]-NRT-code) [i]