Information on Result #1009262
Linear OOA(2235, 5592406, F2, 3, 14) (dual of [(5592406, 3), 16776983, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2167, 2796203, F2, 3, 14) (dual of [(2796203, 3), 8388442, 15]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-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(2235, 2796203, F2, 5, 14) (dual of [(2796203, 5), 13980780, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2235, 2796203, F2, 6, 14) (dual of [(2796203, 6), 16776983, 15]-NRT-code) | [i] | ||