Information on Result #2688034
Linear OOA(4220, 2796202, F4, 3, 25) (dual of [(2796202, 3), 8388386, 26]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4217, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
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(4221, 2796202, F4, 3, 25) (dual of [(2796202, 3), 8388385, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4222, 2796202, F4, 3, 25) (dual of [(2796202, 3), 8388384, 26]-NRT-code) | [i] | ||
| 3 | Digital (195, 220, 2796202)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |