Information on Result #2496741
Linear OOA(4258, 4194303, F4, 2, 29) (dual of [(4194303, 2), 8388348, 30]-NRT-code), using 41 times duplication based on linear OOA(4257, 4194303, F4, 2, 29) (dual of [(4194303, 2), 8388349, 30]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-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(4258, 2979505, F4, 3, 29) (dual of [(2979505, 3), 8938257, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (229, 258, 2979505)-net over F4 | [i] | ||