Information on Result #678749

Linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using construction X applied to Ce(37) ⊂ Ce(30) based on
  1. linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4239, 65590, F4, 38) (dual of [65590, 65351, 39]-code) [i]Code Embedding in Larger Space
2Linear OA(4240, 65591, F4, 38) (dual of [65591, 65351, 39]-code) [i]
3Linear OOA(4238, 43741, F4, 2, 38) (dual of [(43741, 2), 87244, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4238, 43741, F4, 3, 38) (dual of [(43741, 3), 130985, 39]-NRT-code) [i]
5Digital (200, 238, 43741)-net over F4 [i]
6Linear OOA(4238, 32794, F4, 2, 38) (dual of [(32794, 2), 65350, 39]-NRT-code) [i]OOA Folding
7Linear OOA(4238, 21863, F4, 3, 38) (dual of [(21863, 3), 65351, 39]-NRT-code) [i]
8Linear OOA(4238, 3452, F4, 38, 38) (dual of [(3452, 38), 130938, 39]-NRT-code) [i]OA Folding and Stacking