Information on Result #678444

Linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code), using construction X applied to Ce(29) ⊂ Ce(24) based on
  1. linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(4207, 262188, F4, 30) (dual of [262188, 261981, 31]-code) [i]Code Embedding in Larger Space
2Linear OA(4208, 262189, F4, 30) (dual of [262189, 261981, 31]-code) [i]
3Linear OA(4209, 262190, F4, 30) (dual of [262190, 261981, 31]-code) [i]
4Linear OA(4210, 262191, F4, 30) (dual of [262191, 261981, 31]-code) [i]
5Linear OA(4211, 262192, F4, 30) (dual of [262192, 261981, 31]-code) [i]
6Linear OA(4210, 262192, F4, 30) (dual of [262192, 261982, 31]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(4211, 262194, F4, 30) (dual of [262194, 261983, 31]-code) [i]
8Linear OOA(4206, 131093, F4, 2, 30) (dual of [(131093, 2), 261980, 31]-NRT-code) [i]OOA Folding
9Linear OOA(4206, 87395, F4, 3, 30) (dual of [(87395, 3), 261979, 31]-NRT-code) [i]
10Linear OOA(4206, 17479, F4, 30, 30) (dual of [(17479, 30), 524164, 31]-NRT-code) [i]OA Folding and Stacking