Information on Result #1832535
OOA(12876, 4194816, S128, 2, 18), using (u, u+v)-construction based on
- OOA(12816, 515, S128, 2, 9), using
- extracting embedded OOA [i] based on (7, 16, 515)-net in base 128, using
- base change [i] based on digital (5, 14, 515)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (0, 4, 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
- digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (0, 4, 257)-net over F256, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (5, 14, 515)-net over F256, using
- extracting embedded OOA [i] based on (7, 16, 515)-net in base 128, using
- OOA(12860, 4194301, S128, 2, 18), using
- OOA 2-folding [i] based on OA(12860, 8388602, S128, 18), using
- discarding factors based on OA(12860, large, S128, 18), using
- discarding parts of the base [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]
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- discarding factors based on OA(12860, large, S128, 18), using
- OOA 2-folding [i] based on OA(12860, 8388602, S128, 18), 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(12876, 2097408, S128, 4, 18) | [i] | OOA Folding | |