Information on Result #972029
Linear OOA(582, 4194301, F5, 3, 9) (dual of [(4194301, 3), 12582821, 10]-NRT-code), using OOA 2-folding based on linear OOA(582, 8388602, F5, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- trace code [i] based on linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-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(585, 4194302, F5, 3, 9) (dual of [(4194302, 3), 12582821, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(583, 4194301, F5, 3, 9) (dual of [(4194301, 3), 12582820, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(584, 4194301, F5, 3, 9) (dual of [(4194301, 3), 12582819, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(586, 4194307, F5, 3, 9) (dual of [(4194307, 3), 12582835, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(587, 4194313, F5, 3, 9) (dual of [(4194313, 3), 12582852, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(588, 4194328, F5, 3, 9) (dual of [(4194328, 3), 12582896, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(589, 4194345, F5, 3, 9) (dual of [(4194345, 3), 12582946, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(590, 4194379, F5, 3, 9) (dual of [(4194379, 3), 12583047, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(591, 4194438, F5, 3, 9) (dual of [(4194438, 3), 12583223, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(593, 4194601, F5, 3, 9) (dual of [(4194601, 3), 12583710, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(594, 4194901, F5, 3, 9) (dual of [(4194901, 3), 12584609, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(596, 4194929, F5, 3, 9) (dual of [(4194929, 3), 12584691, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(597, 4195082, F5, 3, 9) (dual of [(4195082, 3), 12585149, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(598, 4195866, F5, 3, 9) (dual of [(4195866, 3), 12587500, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(599, 4195869, F5, 3, 9) (dual of [(4195869, 3), 12587508, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(5100, 4196254, F5, 3, 9) (dual of [(4196254, 3), 12588662, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(5101, 4202116, F5, 3, 9) (dual of [(4202116, 3), 12606247, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(5113, 8388602, F5, 3, 9) (dual of [(8388602, 3), 25165693, 10]-NRT-code) | [i] | ||