Information on Result #678759

Linear OA(4179, 65586, F4, 28) (dual of [65586, 65407, 29]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(410, 50, F4, 5) (dual of [50, 40, 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 OA(4180, 65587, F4, 28) (dual of [65587, 65407, 29]-code) [i]Code Embedding in Larger Space
2Linear OOA(4179, 46534, F4, 2, 28) (dual of [(46534, 2), 92889, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4179, 46534, F4, 3, 28) (dual of [(46534, 3), 139423, 29]-NRT-code) [i]
4Digital (151, 179, 46534)-net over F4 [i]
5Linear OA(4181, 65589, F4, 28) (dual of [65589, 65408, 29]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(4179, 32793, F4, 2, 28) (dual of [(32793, 2), 65407, 29]-NRT-code) [i]OOA Folding
7Linear OOA(4179, 21862, F4, 3, 28) (dual of [(21862, 3), 65407, 29]-NRT-code) [i]