Information on Result #1598598
Linear OOA(2237, 5592408, F2, 4, 15) (dual of [(5592408, 4), 22369395, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2237, 5592408, F2, 3, 15) (dual of [(5592408, 3), 16776987, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2169, 2796204, F2, 3, 15) (dual of [(2796204, 3), 8388443, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(27, 3, F2, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,2) [i]
- 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
- linear OOA(27, 3, F2, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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(2237, 2796204, F2, 7, 15) (dual of [(2796204, 7), 19573191, 16]-NRT-code) | [i] | OOA Folding | |