Information on Result #679588

Linear OA(4133, 4102, F4, 30) (dual of [4102, 3969, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
  1. linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4134, 4103, F4, 30) (dual of [4103, 3969, 31]-code) [i]Code Embedding in Larger Space
2Linear OA(4141, 4135, F4, 30) (dual of [4135, 3994, 31]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(4142, 4153, F4, 30) (dual of [4153, 4011, 31]-code) [i]
4Linear OA(4143, 4181, F4, 30) (dual of [4181, 4038, 31]-code) [i]
5Linear OA(4144, 4224, F4, 30) (dual of [4224, 4080, 31]-code) [i]
6Linear OA(4145, 4288, F4, 30) (dual of [4288, 4143, 31]-code) [i]
7Linear OA(4146, 4381, F4, 30) (dual of [4381, 4235, 31]-code) [i]
8Linear OA(4147, 4507, F4, 30) (dual of [4507, 4360, 31]-code) [i]
9Linear OA(4148, 4669, F4, 30) (dual of [4669, 4521, 31]-code) [i]
10Linear OA(4149, 4864, F4, 30) (dual of [4864, 4715, 31]-code) [i]
11Linear OA(4150, 5085, F4, 30) (dual of [5085, 4935, 31]-code) [i]
12Linear OOA(4133, 2051, F4, 2, 30) (dual of [(2051, 2), 3969, 31]-NRT-code) [i]OOA Folding
13Linear OOA(4133, 1367, F4, 3, 30) (dual of [(1367, 3), 3968, 31]-NRT-code) [i]