Information on Result #1686436
Linear OOA(2218, 3058344, F2, 7, 15) (dual of [(3058344, 7), 21408190, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2218, 3058344, F2, 3, 15) (dual of [(3058344, 3), 9174814, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(256, 262143, F2, 3, 7) (dual of [(262143, 3), 786373, 8]-NRT-code), using
- linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-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(2219, 3058344, F2, 7, 15) (dual of [(3058344, 7), 21408189, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2220, 3058344, F2, 7, 15) (dual of [(3058344, 7), 21408188, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2218, 3058343, F2, 8, 15) (dual of [(3058343, 8), 24466526, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(2218, 3058343, F2, 21, 15) (dual of [(3058343, 21), 64224985, 16]-NRT-code) | [i] | ||