Information on Result #1193735
Linear OOA(9118, 2796410, F9, 15, 13) (dual of [(2796410, 15), 41946032, 14]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(9118, 5592821, F9, 3, 13) (dual of [(5592821, 3), 16778345, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(920, 419, F9, 3, 6) (dual of [(419, 3), 1237, 7]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(93, 91, F9, 3, 2) (dual of [(91, 3), 270, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(93, 91, F9, 2, 2) (dual of [(91, 2), 179, 3]-NRT-code), using
- appending kth column [i] based on linear OA(93, 91, F9, 2) (dual of [91, 88, 3]-code), using
- Hamming code H(3,9) [i]
- appending kth column [i] based on linear OA(93, 91, F9, 2) (dual of [91, 88, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(93, 91, F9, 2, 2) (dual of [(91, 2), 179, 3]-NRT-code), using
- linear OOA(95, 164, F9, 3, 3) (dual of [(164, 3), 487, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(95, 211, F9, 3, 3) (dual of [(211, 3), 628, 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(93, 91, F9, 3, 2) (dual of [(91, 3), 270, 3]-NRT-code), using
- generalized (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
- linear OOA(920, 419, F9, 3, 6) (dual of [(419, 3), 1237, 7]-NRT-code), using
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (105, 118, 2796410)-net over F9 | [i] | Net Defined by OOA | |