Information on Result #2496631
Linear OOA(4255, 4194302, F4, 2, 28) (dual of [(4194302, 2), 8388349, 29]-NRT-code), using 41 times duplication based on linear OOA(4254, 4194302, F4, 2, 28) (dual of [(4194302, 2), 8388350, 29]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4252, 4194301, F4, 2, 28) (dual of [(4194301, 2), 8388350, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4252, 8388602, F4, 28) (dual of [8388602, 8388350, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4252, large, F4, 28) (dual of [large, large−252, 29]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- discarding factors / shortening the dual code based on linear OA(4252, large, F4, 28) (dual of [large, large−252, 29]-code), using
- OOA 2-folding [i] based on linear OA(4252, 8388602, F4, 28) (dual of [8388602, 8388350, 29]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4255, 4194302, F4, 3, 28) (dual of [(4194302, 3), 12582651, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (227, 255, 4194302)-net over F4 | [i] | ||