Information on Result #1686586
Linear OOA(2220, 4538161, F2, 7, 14) (dual of [(4538161, 7), 31766907, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2220, 4538161, F2, 2, 14) (dual of [(4538161, 2), 9076102, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2220, 4718588, F2, 2, 14) (dual of [(4718588, 2), 9436956, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(259, 524287, F2, 2, 7) (dual of [(524287, 2), 1048515, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (52, 59, 524287)-net over F2, 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
- linear OOA(259, 524287, F2, 2, 7) (dual of [(524287, 2), 1048515, 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(2220, 4538160, F2, 8, 14) (dual of [(4538160, 8), 36305060, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2220, 4538160, F2, 21, 14) (dual of [(4538160, 21), 95301140, 15]-NRT-code) | [i] | ||