Information on Result #678757

Linear OA(4190, 65589, F4, 30) (dual of [65589, 65399, 31]-code), using construction X applied to Ce(29) ⊂ Ce(22) based on
  1. linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(413, 53, F4, 6) (dual of [53, 40, 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(4191, 65590, F4, 30) (dual of [65590, 65399, 31]-code) [i]Code Embedding in Larger Space
2Linear OA(4192, 65591, F4, 30) (dual of [65591, 65399, 31]-code) [i]
3Linear OOA(4190, 43608, F4, 2, 30) (dual of [(43608, 2), 87026, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4190, 43608, F4, 3, 30) (dual of [(43608, 3), 130634, 31]-NRT-code) [i]
5Digital (160, 190, 43608)-net over F4 [i]
6Linear OOA(4190, 32794, F4, 2, 30) (dual of [(32794, 2), 65398, 31]-NRT-code) [i]OOA Folding
7Linear OOA(4190, 21863, F4, 3, 30) (dual of [(21863, 3), 65399, 31]-NRT-code) [i]