Information on Result #894219
Linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(267, 4194303, F2, 2, 6) (dual of [(4194303, 2), 8388539, 7]-NRT-code), using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-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(2206, 8388602, F2, 2, 12) (dual of [(8388602, 2), 16776998, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2208, large, F2, 2, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2210, large, F2, 2, 13) | [i] | ||
| 4 | Linear OOA(2212, large, F2, 2, 13) | [i] | ||
| 5 | Linear OOA(2214, large, F2, 2, 13) | [i] | ||
| 6 | Linear OOA(2216, large, F2, 2, 13) | [i] | ||
| 7 | Linear OOA(2218, large, F2, 2, 13) | [i] | ||
| 8 | Linear OOA(2220, large, F2, 2, 13) | [i] | ||
| 9 | Linear OOA(2222, large, F2, 2, 13) | [i] | ||
| 10 | Linear OOA(2224, large, F2, 2, 13) | [i] | ||
| 11 | Linear OOA(2226, large, F2, 2, 13) | [i] | ||
| 12 | Linear OOA(2228, large, F2, 2, 13) | [i] | ||
| 13 | Linear OOA(2230, large, F2, 2, 13) | [i] | ||
| 14 | Linear OOA(2232, large, F2, 2, 13) | [i] | ||
| 15 | Linear OOA(2234, large, F2, 2, 13) | [i] | ||
| 16 | Linear OOA(2236, large, F2, 2, 13) | [i] | ||
| 17 | Linear OOA(2238, large, F2, 2, 13) | [i] | ||
| 18 | Linear OOA(2240, large, F2, 2, 13) | [i] | ||
| 19 | Linear OOA(2242, large, F2, 2, 13) | [i] | ||
| 20 | Linear OOA(2244, large, F2, 2, 13) | [i] | ||
| 21 | Linear OOA(2246, large, F2, 2, 13) | [i] | ||
| 22 | Linear OOA(2248, large, F2, 2, 13) | [i] | ||
| 23 | Linear OOA(2250, large, F2, 2, 13) | [i] | ||
| 24 | Linear OOA(2252, large, F2, 2, 13) | [i] | ||
| 25 | Linear OOA(2254, large, F2, 2, 13) | [i] | ||
| 26 | Linear OOA(2256, large, F2, 2, 13) | [i] | ||
| 27 | Linear OOA(2258, large, F2, 2, 13) | [i] | ||
| 28 | Linear OOA(2260, large, F2, 2, 13) | [i] | ||
| 29 | Linear OOA(2207, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776997, 14]-NRT-code) | [i] | OOA Duplication | |
| 30 | Linear OOA(2206, 6265955, F2, 3, 13) (dual of [(6265955, 3), 18797659, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Linear OOA(2206, 6265955, F2, 4, 13) (dual of [(6265955, 4), 25063614, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(2206, 6265955, F2, 5, 13) (dual of [(6265955, 5), 31329569, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(2206, 6265955, F2, 6, 13) (dual of [(6265955, 6), 37595524, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(2206, 6265955, F2, 7, 13) (dual of [(6265955, 7), 43861479, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(2206, 6265955, F2, 8, 13) (dual of [(6265955, 8), 50127434, 14]-NRT-code) | [i] | ||
| 36 | Digital (193, 206, 6265955)-net over F2 | [i] | ||
| 37 | Linear OOA(2206, 4194301, F2, 3, 13) (dual of [(4194301, 3), 12582697, 14]-NRT-code) | [i] | OOA Folding | |
| 38 | Linear OOA(2206, 4194301, F2, 4, 13) (dual of [(4194301, 4), 16776998, 14]-NRT-code) | [i] | ||