Information on Result #1517229
Linear OOA(2226, 6291452, F2, 3, 14) (dual of [(6291452, 3), 18874130, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2226, 6291452, F2, 2, 14) (dual of [(6291452, 2), 12582678, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(265, 2097151, F2, 2, 7) (dual of [(2097151, 2), 4194237, 8]-NRT-code), using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-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(2227, 6291452, F2, 3, 14) (dual of [(6291452, 3), 18874129, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2226, 3145726, F2, 6, 14) (dual of [(3145726, 6), 18874130, 15]-NRT-code) | [i] | OOA Folding | |