Information on Result #1009189
Linear OOA(2209, 5592404, F2, 3, 13) (dual of [(5592404, 3), 16777003, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(267, 4194302, F2, 3, 6) (dual of [(4194302, 3), 12582839, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2142, 2796202, F2, 3, 13) (dual of [(2796202, 3), 8388464, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
Mode: Constructive and 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(2209, 5592404, F2, 3, 12) (dual of [(5592404, 3), 16777003, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2210, 5592404, F2, 3, 13) (dual of [(5592404, 3), 16777002, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2211, 5592404, F2, 3, 13) (dual of [(5592404, 3), 16777001, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2209, 2796202, F2, 5, 13) (dual of [(2796202, 5), 13980801, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2209, 2796202, F2, 6, 13) (dual of [(2796202, 6), 16777003, 14]-NRT-code) | [i] | ||