Information on Result #2494919
Linear OOA(4123, 4194302, F4, 2, 14) (dual of [(4194302, 2), 8388481, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4121, 4194301, F4, 2, 14) (dual of [(4194301, 2), 8388481, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4121, 8388602, F4, 14) (dual of [8388602, 8388481, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-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(4124, 4194302, F4, 2, 14) (dual of [(4194302, 2), 8388480, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4123, 4194302, F4, 3, 14) (dual of [(4194302, 3), 12582783, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (109, 123, 4194302)-net over F4 | [i] | ||