Information on Result #1096116
Linear OOA(2231, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388369, 22]-NRT-code), using OOA 5-folding based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 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, 1677720, F2, 5, 20) (dual of [(1677720, 5), 8388369, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2236, 1677721, F2, 5, 21) (dual of [(1677721, 5), 8388369, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2232, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388368, 22]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2233, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388367, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2234, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388366, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2235, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388365, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 1677723, F2, 5, 21) (dual of [(1677723, 5), 8388374, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2242, 1677725, F2, 5, 21) (dual of [(1677725, 5), 8388383, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2243, 1677726, F2, 5, 21) (dual of [(1677726, 5), 8388387, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2244, 1677727, F2, 5, 21) (dual of [(1677727, 5), 8388391, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2245, 1677728, F2, 5, 21) (dual of [(1677728, 5), 8388395, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2246, 1677729, F2, 5, 21) (dual of [(1677729, 5), 8388399, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(2247, 1677731, F2, 5, 21) (dual of [(1677731, 5), 8388408, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(2248, 1677733, F2, 5, 21) (dual of [(1677733, 5), 8388417, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(2249, 1677735, F2, 5, 21) (dual of [(1677735, 5), 8388426, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(2250, 1677737, F2, 5, 21) (dual of [(1677737, 5), 8388435, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(2251, 1677741, F2, 5, 21) (dual of [(1677741, 5), 8388454, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(2252, 1677743, F2, 5, 21) (dual of [(1677743, 5), 8388463, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(2254, 1677745, F2, 5, 21) (dual of [(1677745, 5), 8388471, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(2255, 1677746, F2, 5, 21) (dual of [(1677746, 5), 8388475, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(2256, 1677747, F2, 5, 21) (dual of [(1677747, 5), 8388479, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(2257, 1677749, F2, 5, 21) (dual of [(1677749, 5), 8388488, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(2258, 1677750, F2, 5, 21) (dual of [(1677750, 5), 8388492, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(2259, 1677752, F2, 5, 21) (dual of [(1677752, 5), 8388501, 22]-NRT-code) | [i] | ||
| 25 | Linear OOA(2260, 1677755, F2, 5, 21) (dual of [(1677755, 5), 8388515, 22]-NRT-code) | [i] | ||
| 26 | Linear OOA(2258, 1677751, F2, 5, 21) (dual of [(1677751, 5), 8388497, 22]-NRT-code) | [i] | ||
| 27 | Linear OOA(2259, 1677754, F2, 5, 21) (dual of [(1677754, 5), 8388511, 22]-NRT-code) | [i] | ||