Information on Result #1165810
Linear OOA(2231, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388369, 22]-NRT-code), using OOA 8-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, 1048575, F2, 8, 20) (dual of [(1048575, 8), 8388369, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2232, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388368, 22]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2233, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388367, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(2234, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388366, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2235, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388365, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2236, 1048575, F2, 8, 21) (dual of [(1048575, 8), 8388364, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 1048578, F2, 8, 21) (dual of [(1048578, 8), 8388383, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2242, 1048580, F2, 8, 21) (dual of [(1048580, 8), 8388398, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2243, 1048581, F2, 8, 21) (dual of [(1048581, 8), 8388405, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2244, 1048582, F2, 8, 21) (dual of [(1048582, 8), 8388412, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2245, 1048583, F2, 8, 21) (dual of [(1048583, 8), 8388419, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2246, 1048584, F2, 8, 21) (dual of [(1048584, 8), 8388426, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(2247, 1048586, F2, 8, 21) (dual of [(1048586, 8), 8388441, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(2248, 1048588, F2, 8, 21) (dual of [(1048588, 8), 8388456, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(2249, 1048590, F2, 8, 21) (dual of [(1048590, 8), 8388471, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(2250, 1048592, F2, 8, 21) (dual of [(1048592, 8), 8388486, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(2251, 1048596, F2, 8, 21) (dual of [(1048596, 8), 8388517, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(2252, 1048598, F2, 8, 21) (dual of [(1048598, 8), 8388532, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(2254, 1048600, F2, 8, 21) (dual of [(1048600, 8), 8388546, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(2255, 1048601, F2, 8, 21) (dual of [(1048601, 8), 8388553, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(2256, 1048602, F2, 8, 21) (dual of [(1048602, 8), 8388560, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(2257, 1048604, F2, 8, 21) (dual of [(1048604, 8), 8388575, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(2258, 1048605, F2, 8, 21) (dual of [(1048605, 8), 8388582, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(2259, 1048607, F2, 8, 21) (dual of [(1048607, 8), 8388597, 22]-NRT-code) | [i] | ||
| 25 | Linear OOA(2260, 1048610, F2, 8, 21) (dual of [(1048610, 8), 8388620, 22]-NRT-code) | [i] | ||
| 26 | Digital (210, 231, 1048575)-net over F2 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |