Information on Result #1009085
Linear OOA(2162, 2796331, F2, 3, 12) (dual of [(2796331, 3), 8388831, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(224, 130, F2, 3, 6) (dual of [(130, 3), 366, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(23, 3, F2, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;6,2) [i]
- linear OOA(221, 127, F2, 3, 6) (dual of [(127, 3), 360, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 21, 127)-net over F2, using
- linear OOA(23, 3, F2, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 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(2229, 5592662, F2, 3, 12) (dual of [(5592662, 3), 16777757, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2162, 2796331, F2, 4, 12) (dual of [(2796331, 4), 11185162, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(2162, 2796331, F2, 5, 12) (dual of [(2796331, 5), 13981493, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2162, 2796331, F2, 6, 12) (dual of [(2796331, 6), 16777824, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(2162, 2796331, F2, 7, 12) (dual of [(2796331, 7), 19574155, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2162, 2796331, F2, 8, 12) (dual of [(2796331, 8), 22370486, 13]-NRT-code) | [i] | ||
| 7 | Digital (150, 162, 2796331)-net over F2 | [i] | ||
| 8 | Linear OOA(2162, 1398165, F2, 6, 12) (dual of [(1398165, 6), 8388828, 13]-NRT-code) | [i] | OOA Folding | |