Information on Result #1020003
Linear OOA(25643, 2796715, F256, 3, 12) (dual of [(2796715, 3), 8390102, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 514, F256, 3, 6) (dual of [(514, 3), 1533, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(2566, 257, F256, 3, 6) (dual of [(257, 3), 765, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;765,256) [i]
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-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(25662, 5593173, F256, 3, 12) (dual of [(5593173, 3), 16779457, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25663, 5593430, F256, 3, 12) (dual of [(5593430, 3), 16780227, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(25643, 1398357, F256, 6, 12) (dual of [(1398357, 6), 8390099, 13]-NRT-code) | [i] | OOA Folding | |