Information on Result #1568306
Linear OOA(2165, 2796457, F2, 3, 12) (dual of [(2796457, 3), 8389206, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 256, F2, 3, 6) (dual of [(256, 3), 741, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 256, F2, 2, 6) (dual of [(256, 2), 485, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(225, 255, F2, 2, 6) (dual of [(255, 2), 485, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 256, F2, 2, 6) (dual of [(256, 2), 485, 7]-NRT-code), using
- 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: 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(2165, 2796457, F2, 4, 12) (dual of [(2796457, 4), 11185663, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2165, 2796457, F2, 5, 12) (dual of [(2796457, 5), 13982120, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2165, 2796457, F2, 6, 12) (dual of [(2796457, 6), 16778577, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 2796457, F2, 7, 12) (dual of [(2796457, 7), 19575034, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(2165, 2796457, F2, 8, 12) (dual of [(2796457, 8), 22371491, 13]-NRT-code) | [i] | ||
| 6 | Digital (153, 165, 2796457)-net over F2 | [i] | ||