Information on Result #962530
Linear OOA(4210, 1398105, F4, 3, 26) (dual of [(1398105, 3), 4194105, 27]-NRT-code), using OOA 3-folding based on linear OA(4210, 4194315, F4, 26) (dual of [4194315, 4194105, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(4210, 4194304, F4, 26) (dual of [4194304, 4194094, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4211, 1398105, F4, 3, 26) (dual of [(1398105, 3), 4194104, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4212, 1398105, F4, 3, 26) (dual of [(1398105, 3), 4194103, 27]-NRT-code) | [i] | ||
| 3 | Digital (184, 210, 1394966)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |