Information on Result #2503919
Linear OOA(593, 4194302, F5, 2, 12) (dual of [(4194302, 2), 8388511, 13]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(591, 4194301, F5, 2, 12) (dual of [(4194301, 2), 8388511, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(591, 8388602, F5, 12) (dual of [8388602, 8388511, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-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(594, 4194302, F5, 2, 12) (dual of [(4194302, 2), 8388510, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(593, 4194302, F5, 3, 12) (dual of [(4194302, 3), 12582813, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (81, 93, 4194302)-net over F5 | [i] | ||