Information on Result #1022975
Linear OOA(25664, 5592660, F256, 3, 14) (dual of [(5592660, 3), 16777916, 15]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- linear OOA(25640, 2796201, F256, 3, 14) (dual of [(2796201, 3), 8388563, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-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(12874, 5592660, S128, 3, 14) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25664, 2796330, F256, 5, 14) (dual of [(2796330, 5), 13981586, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25664, 2796330, F256, 6, 14) (dual of [(2796330, 6), 16777916, 15]-NRT-code) | [i] | ||