Information on Result #835699
Linear OOA(581, 4194301, F5, 2, 11) (dual of [(4194301, 2), 8388521, 12]-NRT-code), using OOA 2-folding based on linear OA(581, 8388602, F5, 11) (dual of [8388602, 8388521, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(581, 4194301, F5, 2, 10) (dual of [(4194301, 2), 8388521, 11]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(583, 4194302, F5, 2, 11) (dual of [(4194302, 2), 8388521, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(585, 4194303, F5, 2, 11) (dual of [(4194303, 2), 8388521, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(582, 4194301, F5, 2, 11) (dual of [(4194301, 2), 8388520, 12]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(586, 4194307, F5, 2, 11) (dual of [(4194307, 2), 8388528, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(587, 4194311, F5, 2, 11) (dual of [(4194311, 2), 8388535, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(588, 4194322, F5, 2, 11) (dual of [(4194322, 2), 8388556, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(589, 4194334, F5, 2, 11) (dual of [(4194334, 2), 8388579, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(590, 4194347, F5, 2, 11) (dual of [(4194347, 2), 8388604, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(591, 4194369, F5, 2, 11) (dual of [(4194369, 2), 8388647, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(593, 4194378, F5, 2, 11) (dual of [(4194378, 2), 8388663, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(594, 4194601, F5, 2, 11) (dual of [(4194601, 2), 8389108, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(595, 4194902, F5, 2, 11) (dual of [(4194902, 2), 8389709, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(597, 4194908, F5, 2, 11) (dual of [(4194908, 2), 8389719, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(598, 4194933, F5, 2, 11) (dual of [(4194933, 2), 8389768, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(599, 4195058, F5, 2, 11) (dual of [(4195058, 2), 8390017, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(5100, 4195503, F5, 2, 11) (dual of [(4195503, 2), 8390906, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(5101, 4195863, F5, 2, 11) (dual of [(4195863, 2), 8391625, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(593, 4194396, F5, 2, 11) (dual of [(4194396, 2), 8388699, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(5101, 4196104, F5, 2, 11) (dual of [(4196104, 2), 8392107, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(581, 4194301, F5, 3, 11) (dual of [(4194301, 3), 12582822, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 22 | Digital (70, 81, 4194301)-net over F5 | [i] | ||