Information on Result #678753

Linear OA(4214, 65589, F4, 34) (dual of [65589, 65375, 35]-code), using construction X applied to Ce(33) ⊂ Ce(26) based on
  1. 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]
  2. linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(4215, 65590, F4, 34) (dual of [65590, 65375, 35]-code) [i]Code Embedding in Larger Space
2Linear OA(4216, 65591, F4, 34) (dual of [65591, 65375, 35]-code) [i]
3Linear OOA(4214, 43348, F4, 2, 34) (dual of [(43348, 2), 86482, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4214, 43348, F4, 3, 34) (dual of [(43348, 3), 129830, 35]-NRT-code) [i]
5Digital (180, 214, 43348)-net over F4 [i]
6Linear OOA(4214, 32794, F4, 2, 34) (dual of [(32794, 2), 65374, 35]-NRT-code) [i]OOA Folding
7Linear OOA(4214, 21863, F4, 3, 34) (dual of [(21863, 3), 65375, 35]-NRT-code) [i]
8Linear OOA(4214, 3858, F4, 34, 34) (dual of [(3858, 34), 130958, 35]-NRT-code) [i]OA Folding and Stacking