Information on Result #1838736
OOA(12868, 2097409, S128, 4, 17), using (u, u+v)-construction based on
- OOA(12812, 259, S128, 4, 8), using
- extracting embedded OOA [i] based on (4, 12, 259)-net in base 128, using
- 4 times m-reduction [i] based on (4, 16, 259)-net in base 128, using
- base change [i] based on digital (2, 14, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- base change [i] based on digital (2, 14, 259)-net over F256, using
- 4 times m-reduction [i] based on (4, 16, 259)-net in base 128, using
- extracting embedded OOA [i] based on (4, 12, 259)-net in base 128, using
- OOA(12856, 2097150, S128, 4, 17), using
- OOA 4-folding [i] based on OA(12856, 8388600, S128, 17), using
- discarding factors based on OA(12856, large, S128, 17), using
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- discarding factors based on OA(12856, large, S128, 17), using
- OOA 4-folding [i] based on OA(12856, 8388600, S128, 17), 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(12868, 1048704, S128, 20, 17) | [i] | OOA Folding and Stacking with Additional Row | |