Information on Result #1596375
Linear OOA(2213, 2741246, F2, 4, 15) (dual of [(2741246, 4), 10964771, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2213, 2741246, F2, 3, 15) (dual of [(2741246, 3), 8223525, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2213, 2861736, F2, 3, 15) (dual of [(2861736, 3), 8584995, 16]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2212, 2861736, F2, 3, 15) (dual of [(2861736, 3), 8584996, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(250, 65535, F2, 3, 7) (dual of [(65535, 3), 196555, 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
- (u, u+v)-construction [i] based on
- 21 times duplication [i] based on linear OOA(2212, 2861736, F2, 3, 15) (dual of [(2861736, 3), 8584996, 16]-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(2213, 1370623, F2, 7, 15) (dual of [(1370623, 7), 9594148, 16]-NRT-code) | [i] | OOA Folding | |