Information on Result #1131609
Linear OOA(2210, 1398101, F2, 6, 18) (dual of [(1398101, 6), 8388396, 19]-NRT-code), using OOA 2-folding based on linear OOA(2210, 2796202, F2, 3, 18) (dual of [(2796202, 3), 8388396, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-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(2212, 1398101, F2, 6, 18) (dual of [(1398101, 6), 8388394, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2213, 1398101, F2, 6, 18) (dual of [(1398101, 6), 8388393, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2214, 1398101, F2, 6, 18) (dual of [(1398101, 6), 8388392, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2215, 1398101, F2, 6, 18) (dual of [(1398101, 6), 8388391, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2231, 1398130, F2, 6, 18) (dual of [(1398130, 6), 8388549, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2210, 1398101, F2, 7, 18) (dual of [(1398101, 7), 9786497, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(2210, 1398101, F2, 8, 18) (dual of [(1398101, 8), 11184598, 19]-NRT-code) | [i] | ||
| 8 | Digital (192, 210, 1398101)-net over F2 | [i] | ||