Information on Result #1665661
Linear OOA(2165, 2796457, F2, 6, 12) (dual of [(2796457, 6), 16778577, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2165, 2796457, F2, 3, 12) (dual of [(2796457, 3), 8389206, 13]-NRT-code), using
- (u, u+v)-construction [i] 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
- linear OOA(227, 256, F2, 3, 6) (dual of [(256, 3), 741, 7]-NRT-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, 2796456, F2, 7, 12) (dual of [(2796456, 7), 19575027, 13]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2165, 2796456, F2, 8, 12) (dual of [(2796456, 8), 22371483, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2165, 2796456, F2, 18, 12) (dual of [(2796456, 18), 50336043, 13]-NRT-code) | [i] | ||