Information on Result #678762

Linear OA(4158, 65589, F4, 25) (dual of [65589, 65431, 26]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
  1. linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4159, 65590, F4, 25) (dual of [65590, 65431, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4160, 65591, F4, 25) (dual of [65591, 65431, 26]-code) [i]
3Linear OA(4157, 65588, F4, 24) (dual of [65588, 65431, 25]-code) [i]Truncation
4Linear OOA(4158, 40444, F4, 2, 25) (dual of [(40444, 2), 80730, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4158, 40444, F4, 3, 25) (dual of [(40444, 3), 121174, 26]-NRT-code) [i]
6Digital (133, 158, 40444)-net over F4 [i]
7Linear OOA(4158, 32794, F4, 2, 25) (dual of [(32794, 2), 65430, 26]-NRT-code) [i]OOA Folding
8Linear OOA(4158, 21863, F4, 3, 25) (dual of [(21863, 3), 65431, 26]-NRT-code) [i]