Information on Result #1013832
Linear OOA(7102, 5592502, F7, 3, 10) (dual of [(5592502, 3), 16777404, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(710, 100, F7, 3, 5) (dual of [(100, 3), 290, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 5, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- trace code for nets [i] based on digital (0, 5, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (5, 10, 100)-net over F7, using
- linear OOA(792, 5592402, F7, 3, 10) (dual of [(5592402, 3), 16777114, 11]-NRT-code), using
- trace code [i] based on linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
- trace code [i] based on linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-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(7103, 5592502, F7, 3, 10) (dual of [(5592502, 3), 16777403, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(7102, 2796250, F7, 15, 10) (dual of [(2796250, 15), 41943648, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |