Information on Result #679196

Linear OA(4161, 16432, F4, 29) (dual of [16432, 16271, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(413, 48, F4, 6) (dual of [48, 35, 7]-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(4162, 16433, F4, 29) (dual of [16433, 16271, 30]-code) [i]Code Embedding in Larger Space
2Linear OA(4163, 16434, F4, 29) (dual of [16434, 16271, 30]-code) [i]
3Linear OA(4160, 16431, F4, 28) (dual of [16431, 16271, 29]-code) [i]Truncation
4Linear OOA(4161, 13439, F4, 2, 29) (dual of [(13439, 2), 26717, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4161, 13439, F4, 3, 29) (dual of [(13439, 3), 40156, 30]-NRT-code) [i]
6Digital (132, 161, 13439)-net over F4 [i]
7Linear OA(4163, 16435, F4, 29) (dual of [16435, 16272, 30]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OOA(4161, 8216, F4, 2, 29) (dual of [(8216, 2), 16271, 30]-NRT-code) [i]OOA Folding
9Linear OOA(4161, 5477, F4, 3, 29) (dual of [(5477, 3), 16270, 30]-NRT-code) [i]