Information on Result #1016149
Linear OOA(9115, 5592730, F9, 3, 13) (dual of [(5592730, 3), 16778075, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(917, 328, F9, 3, 6) (dual of [(328, 3), 967, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- linear OOA(912, 164, F9, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(998, 5592402, F9, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(8149, 2796201, F81, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(8149, 2796201, F81, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
Mode: Constructive and linear.
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 | Linear OOA(9116, 5592730, F9, 3, 13) (dual of [(5592730, 3), 16778074, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(9115, 2796364, F9, 15, 13) (dual of [(2796364, 15), 41945345, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |