Information on Result #1020197
Linear OOA(25665, 2796715, F256, 3, 18) (dual of [(2796715, 3), 8390080, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25613, 514, F256, 3, 9) (dual of [(514, 3), 1529, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;767,256) [i]
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;762,256) [i]
- linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25652, 2796201, F256, 3, 18) (dual of [(2796201, 3), 8388551, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-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 | OOA(12875, 2796715, S128, 3, 18) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25665, 1398357, F256, 6, 18) (dual of [(1398357, 6), 8390077, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25665, 932238, F256, 21, 18) (dual of [(932238, 21), 19576933, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |