Information on Result #1838734
OOA(12866, 2097407, S128, 4, 17), using (u, u+v)-construction based on
- OOA(12810, 257, S128, 4, 8), using
- extracting embedded OOA [i] based on (2, 10, 257)-net in base 128, using
- 6 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- 6 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- extracting embedded OOA [i] based on (2, 10, 257)-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(12866, 1048703, S128, 20, 17) | [i] | OOA Folding and Stacking with Additional Row | |