Information on Result #806605
Linear OOA(2231, 4194301, F2, 2, 21) (dual of [(4194301, 2), 8388371, 22]-NRT-code), using OOA 2-folding based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
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, 4194301, F2, 2, 20) (dual of [(4194301, 2), 8388371, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2233, 4194302, F2, 2, 21) (dual of [(4194302, 2), 8388371, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2235, 4194303, F2, 2, 21) (dual of [(4194303, 2), 8388371, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(2237, 4194304, F2, 2, 21) (dual of [(4194304, 2), 8388371, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2239, 4194305, F2, 2, 21) (dual of [(4194305, 2), 8388371, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 4194306, F2, 2, 21) (dual of [(4194306, 2), 8388371, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2232, 4194301, F2, 2, 21) (dual of [(4194301, 2), 8388370, 22]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2242, 4194307, F2, 2, 21) (dual of [(4194307, 2), 8388372, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2244, 4194309, F2, 2, 21) (dual of [(4194309, 2), 8388374, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2247, 4194312, F2, 2, 21) (dual of [(4194312, 2), 8388377, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2248, 4194314, F2, 2, 21) (dual of [(4194314, 2), 8388380, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2249, 4194316, F2, 2, 21) (dual of [(4194316, 2), 8388383, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(2250, 4194318, F2, 2, 21) (dual of [(4194318, 2), 8388386, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(2251, 4194322, F2, 2, 21) (dual of [(4194322, 2), 8388393, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(2252, 4194324, F2, 2, 21) (dual of [(4194324, 2), 8388396, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(2254, 4194326, F2, 2, 21) (dual of [(4194326, 2), 8388398, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(2255, 4194327, F2, 2, 21) (dual of [(4194327, 2), 8388399, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(2256, 4194328, F2, 2, 21) (dual of [(4194328, 2), 8388400, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(2257, 4194330, F2, 2, 21) (dual of [(4194330, 2), 8388403, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(2258, 4194332, F2, 2, 21) (dual of [(4194332, 2), 8388406, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(2259, 4194334, F2, 2, 21) (dual of [(4194334, 2), 8388409, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(2260, 4194336, F2, 2, 21) (dual of [(4194336, 2), 8388412, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(2243, 4194308, F2, 2, 21) (dual of [(4194308, 2), 8388373, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(2259, 4194335, F2, 2, 21) (dual of [(4194335, 2), 8388411, 22]-NRT-code) | [i] | ||