Information on Result #1701475
Linear OOA(2189, 1398101, F2, 8, 17) (dual of [(1398101, 8), 11184619, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2189, 1398101, F2, 6, 17) (dual of [(1398101, 6), 8388417, 18]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2188, 1398101, F2, 6, 17) (dual of [(1398101, 6), 8388418, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2188, 2796202, F2, 3, 17) (dual of [(2796202, 3), 8388418, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2188, 2796202, F2, 3, 17) (dual of [(2796202, 3), 8388418, 18]-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(2190, 1398101, F2, 8, 17) (dual of [(1398101, 8), 11184618, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2191, 1398101, F2, 8, 17) (dual of [(1398101, 8), 11184617, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2192, 1398101, F2, 8, 17) (dual of [(1398101, 8), 11184616, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2189, 1398100, F2, 24, 17) (dual of [(1398100, 24), 33554211, 18]-NRT-code) | [i] | OOA Stacking with Additional Row | |