Information on Result #1013156
Linear OOA(5103, 2796253, F5, 3, 12) (dual of [(2796253, 3), 8388656, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(512, 52, F5, 3, 6) (dual of [(52, 3), 144, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 6, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- trace code for nets [i] based on digital (0, 6, 26)-net over F25, using
- extracting embedded OOA [i] based on digital (6, 12, 52)-net over F5, using
- linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-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(5144, 5592454, F5, 3, 12) (dual of [(5592454, 3), 16777218, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5148, 5592480, F5, 3, 12) (dual of [(5592480, 3), 16777292, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(5149, 5592506, F5, 3, 12) (dual of [(5592506, 3), 16777369, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(5103, 1398126, F5, 15, 12) (dual of [(1398126, 15), 20971787, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |