Information on Result #679591

Linear OA(4121, 4102, F4, 27) (dual of [4102, 3981, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) 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(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-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 OA(4127, 4124, F4, 27) (dual of [4124, 3997, 28]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(4128, 4138, F4, 27) (dual of [4138, 4010, 28]-code) [i]
3Linear OA(4129, 4160, F4, 27) (dual of [4160, 4031, 28]-code) [i]
4Linear OA(4130, 4194, F4, 27) (dual of [4194, 4064, 28]-code) [i]
5Linear OA(4131, 4246, F4, 27) (dual of [4246, 4115, 28]-code) [i]
6Linear OA(4132, 4322, F4, 27) (dual of [4322, 4190, 28]-code) [i]
7Linear OA(4133, 4432, F4, 27) (dual of [4432, 4299, 28]-code) [i]
8Linear OA(4134, 4581, F4, 27) (dual of [4581, 4447, 28]-code) [i]
9Linear OA(4135, 4771, F4, 27) (dual of [4771, 4636, 28]-code) [i]
10Linear OA(4136, 4998, F4, 27) (dual of [4998, 4862, 28]-code) [i]
11Linear OA(4137, 5255, F4, 27) (dual of [5255, 5118, 28]-code) [i]
12Linear OOA(4121, 2051, F4, 2, 27) (dual of [(2051, 2), 3981, 28]-NRT-code) [i]OOA Folding
13Linear OOA(4121, 1367, F4, 3, 27) (dual of [(1367, 3), 3980, 28]-NRT-code) [i]