Information on Result #678746

Linear OA(4254, 65589, F4, 41) (dual of [65589, 65335, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
  1. linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4255, 65590, F4, 41) (dual of [65590, 65335, 42]-code) [i]Code Embedding in Larger Space
2Linear OA(4256, 65591, F4, 41) (dual of [65591, 65335, 42]-code) [i]
3Linear OA(4253, 65588, F4, 40) (dual of [65588, 65335, 41]-code) [i]Truncation
4Linear OOA(4254, 41271, F4, 2, 41) (dual of [(41271, 2), 82288, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4254, 41271, F4, 3, 41) (dual of [(41271, 3), 123559, 42]-NRT-code) [i]
6Digital (213, 254, 41271)-net over F4 [i]
7Linear OOA(4254, 32794, F4, 2, 41) (dual of [(32794, 2), 65334, 42]-NRT-code) [i]OOA Folding
8Linear OOA(4254, 21863, F4, 3, 41) (dual of [(21863, 3), 65335, 42]-NRT-code) [i]