Information on Result #1052158
Linear OOA(2209, 2097151, F2, 4, 18) (dual of [(2097151, 4), 8388395, 19]-NRT-code), using OOA 2-folding based on linear OOA(2209, 4194302, F2, 2, 18) (dual of [(4194302, 2), 8388395, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 4194301, F2, 2, 18) (dual of [(4194301, 2), 8388395, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2207, 8388602, F2, 18) (dual of [8388602, 8388395, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 2-folding [i] based on linear OA(2207, 8388602, F2, 18) (dual of [8388602, 8388395, 19]-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(2213, 2097152, F2, 4, 18) (dual of [(2097152, 4), 8388395, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2211, 2097151, F2, 4, 18) (dual of [(2097151, 4), 8388393, 19]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2212, 2097151, F2, 4, 18) (dual of [(2097151, 4), 8388392, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2230, 2097180, F2, 4, 18) (dual of [(2097180, 4), 8388490, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2255, 2097838, F2, 4, 18) (dual of [(2097838, 4), 8391097, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(2259, 2098521, F2, 4, 18) (dual of [(2098521, 4), 8393825, 19]-NRT-code) | [i] | ||