Information on Result #963000
Linear OOA(4250, 1398115, F4, 3, 30) (dual of [(1398115, 3), 4194095, 31]-NRT-code), using OOA 3-folding based on linear OA(4250, 4194345, F4, 30) (dual of [4194345, 4194095, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (220, 250, 1398115)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |