Information on Result #679587

Linear OA(4139, 4102, F4, 31) (dual of [4102, 3963, 32]-code), using construction X applied to Ce(30) ⊂ Ce(29) 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(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]
  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(4145, 4125, F4, 31) (dual of [4125, 3980, 32]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(4146, 4140, F4, 31) (dual of [4140, 3994, 32]-code) [i]
3Linear OA(4147, 4163, F4, 31) (dual of [4163, 4016, 32]-code) [i]
4Linear OA(4148, 4200, F4, 31) (dual of [4200, 4052, 32]-code) [i]
5Linear OA(4149, 4255, F4, 31) (dual of [4255, 4106, 32]-code) [i]
6Linear OA(4150, 4335, F4, 31) (dual of [4335, 4185, 32]-code) [i]
7Linear OA(4151, 4446, F4, 31) (dual of [4446, 4295, 32]-code) [i]
8Linear OA(4152, 4591, F4, 31) (dual of [4591, 4439, 32]-code) [i]
9Linear OA(4153, 4769, F4, 31) (dual of [4769, 4616, 32]-code) [i]
10Linear OA(4154, 4974, F4, 31) (dual of [4974, 4820, 32]-code) [i]
11Linear OA(4155, 5200, F4, 31) (dual of [5200, 5045, 32]-code) [i]
12Linear OOA(4139, 2051, F4, 2, 31) (dual of [(2051, 2), 3963, 32]-NRT-code) [i]OOA Folding
13Linear OOA(4139, 1367, F4, 3, 31) (dual of [(1367, 3), 3962, 32]-NRT-code) [i]