Information on Result #894259
Linear OOA(2229, 8388602, F2, 2, 14) (dual of [(8388602, 2), 16776975, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(268, 4194303, F2, 2, 7) (dual of [(4194303, 2), 8388538, 8]-NRT-code), 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
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(2231, large, F2, 2, 14) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2233, large, F2, 2, 14) | [i] | ||
| 3 | Linear OOA(2235, large, F2, 2, 14) | [i] | ||
| 4 | Linear OOA(2237, large, F2, 2, 14) | [i] | ||
| 5 | Linear OOA(2239, large, F2, 2, 14) | [i] | ||
| 6 | Linear OOA(2241, large, F2, 2, 14) | [i] | ||
| 7 | Linear OOA(2243, large, F2, 2, 14) | [i] | ||
| 8 | Linear OOA(2245, large, F2, 2, 14) | [i] | ||
| 9 | Linear OOA(2247, large, F2, 2, 14) | [i] | ||
| 10 | Linear OOA(2249, large, F2, 2, 14) | [i] | ||
| 11 | Linear OOA(2251, large, F2, 2, 14) | [i] | ||
| 12 | Linear OOA(2253, large, F2, 2, 14) | [i] | ||
| 13 | Linear OOA(2255, large, F2, 2, 14) | [i] | ||
| 14 | Linear OOA(2257, large, F2, 2, 14) | [i] | ||
| 15 | Linear OOA(2259, large, F2, 2, 14) | [i] | ||
| 16 | Linear OOA(2229, 8001617, F2, 3, 14) (dual of [(8001617, 3), 24004622, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Linear OOA(2229, 8001617, F2, 4, 14) (dual of [(8001617, 4), 32006239, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(2229, 8001617, F2, 5, 14) (dual of [(8001617, 5), 40007856, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(2229, 8001617, F2, 6, 14) (dual of [(8001617, 6), 48009473, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(2229, 8001617, F2, 7, 14) (dual of [(8001617, 7), 56011090, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(2229, 8001617, F2, 8, 14) (dual of [(8001617, 8), 64012707, 15]-NRT-code) | [i] | ||
| 22 | Digital (215, 229, 8001617)-net over F2 | [i] | ||
| 23 | Linear OOA(2229, 4194301, F2, 3, 14) (dual of [(4194301, 3), 12582674, 15]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(2229, 4194301, F2, 4, 14) (dual of [(4194301, 4), 16776975, 15]-NRT-code) | [i] | ||