Information on Result #678450

Linear OA(4152, 262187, F4, 22) (dual of [262187, 262035, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(4153, 262188, F4, 22) (dual of [262188, 262035, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(4154, 262189, F4, 22) (dual of [262189, 262035, 23]-code) [i]
3Linear OA(4155, 262190, F4, 22) (dual of [262190, 262035, 23]-code) [i]
4Linear OA(4156, 262191, F4, 22) (dual of [262191, 262035, 23]-code) [i]
5Linear OA(4157, 262192, F4, 22) (dual of [262192, 262035, 23]-code) [i]
6Linear OA(4155, 262191, F4, 22) (dual of [262191, 262036, 23]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(4156, 262193, F4, 22) (dual of [262193, 262037, 23]-code) [i]
8Linear OA(4157, 262195, F4, 22) (dual of [262195, 262038, 23]-code) [i]
9Linear OOA(4152, 131093, F4, 2, 22) (dual of [(131093, 2), 262034, 23]-NRT-code) [i]OOA Folding
10Linear OOA(4152, 87395, F4, 3, 22) (dual of [(87395, 3), 262033, 23]-NRT-code) [i]
11Linear OOA(4152, 23835, F4, 22, 22) (dual of [(23835, 22), 524218, 23]-NRT-code) [i]OA Folding and Stacking