Information on Result #2676564
Linear OOA(3124, 2796202, F3, 3, 13) (dual of [(2796202, 3), 8388482, 14]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(3125, 2796202, F3, 3, 13) (dual of [(2796202, 3), 8388481, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3126, 2796202, F3, 3, 13) (dual of [(2796202, 3), 8388480, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 2796202, F3, 4, 13) (dual of [(2796202, 4), 11184684, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3124, 2796202, F3, 5, 13) (dual of [(2796202, 5), 13980886, 14]-NRT-code) | [i] | ||
| 5 | Digital (111, 124, 2796202)-net over F3 | [i] | ||