Information on Result #823070
Linear OOA(4119, 2097178, F4, 2, 14) (dual of [(2097178, 2), 4194237, 15]-NRT-code), using OOA 2-folding based on linear OA(4119, 4194356, F4, 14) (dual of [4194356, 4194237, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(4111, 4194304, F4, 14) (dual of [4194304, 4194193, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4120, 2097178, F4, 2, 14) (dual of [(2097178, 2), 4194236, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2238, 4194356, F2, 2, 14) (dual of [(4194356, 2), 8388474, 15]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(4119, 2097178, F4, 3, 14) (dual of [(2097178, 3), 6291415, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (105, 119, 2097178)-net over F4 | [i] | ||