Information on Result #2677688
Linear OOA(3247, 2796203, F3, 3, 24) (dual of [(2796203, 3), 8388362, 25]-NRT-code), using 31 times duplication based on linear OOA(3246, 2796203, F3, 3, 24) (dual of [(2796203, 3), 8388363, 25]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3240, 2796201, F3, 3, 24) (dual of [(2796201, 3), 8388363, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- OOA 3-folding [i] based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-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(3247, 2748859, F3, 4, 24) (dual of [(2748859, 4), 10995189, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3247, 2748859, F3, 5, 24) (dual of [(2748859, 5), 13744048, 25]-NRT-code) | [i] | ||
| 3 | Digital (223, 247, 2748859)-net over F3 | [i] | ||