Information on Result #1832453
OOA(12858, 4194815, S128, 2, 14), using (u, u+v)-construction based on
- OOA(12812, 514, S128, 2, 7), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- OOA(1288, 257, S128, 2, 7), using
- extracting embedded OOA [i] based on (1, 8, 257)-net in base 128, using
- base change [i] based on digital (0, 7, 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, 7, 257)-net over F256, using
- extracting embedded OOA [i] based on (1, 8, 257)-net in base 128, using
- (u, u+v)-construction [i] based on
- OOA(12846, 4194301, S128, 2, 14), using
- OOA 2-folding [i] based on OA(12846, 8388602, S128, 14), using
- discarding factors based on OA(12846, large, S128, 14), using
- discarding parts of the base [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]
- discarding parts of the base [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- discarding factors based on OA(12846, large, S128, 14), using
- OOA 2-folding [i] based on OA(12846, 8388602, S128, 14), 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(12858, 2097407, S128, 4, 14) | [i] | OOA Folding | |