Information on Result #1568322
Linear OOA(2178, 2800297, F2, 3, 13) (dual of [(2800297, 3), 8400713, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(239, 4096, F2, 3, 6) (dual of [(4096, 3), 12249, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(239, 4096, F2, 2, 6) (dual of [(4096, 2), 8153, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(237, 4095, F2, 2, 6) (dual of [(4095, 2), 8153, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(239, 4096, F2, 2, 6) (dual of [(4096, 2), 8153, 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(2178, 2800297, F2, 4, 13) (dual of [(2800297, 4), 11201010, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2178, 2800297, F2, 5, 13) (dual of [(2800297, 5), 14001307, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2178, 2800297, F2, 6, 13) (dual of [(2800297, 6), 16801604, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2178, 2800297, F2, 7, 13) (dual of [(2800297, 7), 19601901, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2178, 2800297, F2, 8, 13) (dual of [(2800297, 8), 22402198, 14]-NRT-code) | [i] | ||
| 6 | Digital (165, 178, 2800297)-net over F2 | [i] | ||