Information on Result #2677600
Linear OOA(3234, 2796203, F3, 3, 23) (dual of [(2796203, 3), 8388375, 24]-NRT-code), using 32 times duplication based on linear OOA(3232, 2796203, F3, 3, 23) (dual of [(2796203, 3), 8388377, 24]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3226, 2796201, F3, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-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(3234, 2505950, F3, 4, 23) (dual of [(2505950, 4), 10023566, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3234, 2505950, F3, 5, 23) (dual of [(2505950, 5), 12529516, 24]-NRT-code) | [i] | ||
| 3 | Digital (211, 234, 2505950)-net over F3 | [i] | ||