Information on Result #1568327
Linear OOA(2187, 2828969, F2, 3, 13) (dual of [(2828969, 3), 8486720, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(248, 32768, F2, 3, 6) (dual of [(32768, 3), 98256, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(248, 32768, F2, 2, 6) (dual of [(32768, 2), 65488, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(246, 32767, F2, 2, 6) (dual of [(32767, 2), 65488, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(248, 32768, F2, 2, 6) (dual of [(32768, 2), 65488, 7]-NRT-code), using
- linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-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(2187, 2828969, F2, 4, 13) (dual of [(2828969, 4), 11315689, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2187, 2828969, F2, 5, 13) (dual of [(2828969, 5), 14144658, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2187, 2828969, F2, 6, 13) (dual of [(2828969, 6), 16973627, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 2828969, F2, 7, 13) (dual of [(2828969, 7), 19802596, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2187, 2828969, F2, 8, 13) (dual of [(2828969, 8), 22631565, 14]-NRT-code) | [i] | ||
| 6 | Digital (174, 187, 2828969)-net over F2 | [i] | ||