Information on Result #1836989
OOA(12851, 2796459, S128, 3, 13), using (u, u+v)-construction based on
- OOA(1288, 258, S128, 3, 6), using
- extracting embedded OOA [i] based on (2, 8, 258)-net in base 128, using
- base change [i] based on digital (1, 7, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 7, 258)-net over F256, using
- extracting embedded OOA [i] based on (2, 8, 258)-net in base 128, using
- OOA(12843, 2796201, S128, 3, 13), using
- OOA 3-folding [i] based on OA(12843, large, S128, 13), using
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 3-folding [i] based on OA(12843, large, S128, 13), using
Mode: Constructive.
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(12870, 5592660, S128, 3, 13) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12874, 5592918, S128, 3, 13) | [i] | ||
| 3 | OOA(12851, 1398229, S128, 15, 13) | [i] | OOA Folding and Stacking with Additional Row | |