Information on Result #861104
Linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using OOA 2-folding based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2573, 4194302, F25, 2, 15) (dual of [(4194302, 2), 8388531, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2575, 4194303, F25, 2, 15) (dual of [(4194303, 2), 8388531, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2577, 4194304, F25, 2, 15) (dual of [(4194304, 2), 8388531, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2572, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388530, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(5142, 8388602, F5, 2, 15) (dual of [(8388602, 2), 16777062, 16]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(2578, 4194327, F25, 2, 15) (dual of [(4194327, 2), 8388576, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2579, 4194328, F25, 2, 15) (dual of [(4194328, 2), 8388577, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2580, 4194329, F25, 2, 15) (dual of [(4194329, 2), 8388578, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2581, 4194353, F25, 2, 15) (dual of [(4194353, 2), 8388625, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2582, 4194367, F25, 2, 15) (dual of [(4194367, 2), 8388652, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2584, 4194615, F25, 2, 15) (dual of [(4194615, 2), 8389146, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2585, 4194616, F25, 2, 15) (dual of [(4194616, 2), 8389147, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2586, 4194618, F25, 2, 15) (dual of [(4194618, 2), 8389150, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2587, 4194641, F25, 2, 15) (dual of [(4194641, 2), 8389195, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2588, 4194929, F25, 2, 15) (dual of [(4194929, 2), 8389770, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2589, 4196254, F25, 2, 15) (dual of [(4196254, 2), 8392419, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2590, 4202115, F25, 2, 15) (dual of [(4202115, 2), 8404140, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2591, 4202118, F25, 2, 15) (dual of [(4202118, 2), 8404145, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2592, 4202119, F25, 2, 15) (dual of [(4202119, 2), 8404146, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2593, 4202141, F25, 2, 15) (dual of [(4202141, 2), 8404189, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2594, 4202741, F25, 2, 15) (dual of [(4202741, 2), 8405388, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2595, 4203649, F25, 2, 15) (dual of [(4203649, 2), 8407203, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2596, 4389615, F25, 2, 15) (dual of [(4389615, 2), 8779134, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2597, 4389619, F25, 2, 15) (dual of [(4389619, 2), 8779141, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2598, 4389620, F25, 2, 15) (dual of [(4389620, 2), 8779142, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2599, 4389641, F25, 2, 15) (dual of [(4389641, 2), 8779183, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(25100, 4390241, F25, 2, 15) (dual of [(4390241, 2), 8780382, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(25101, 4391149, F25, 2, 15) (dual of [(4391149, 2), 8782197, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(25102, 8388602, F25, 2, 15) (dual of [(8388602, 2), 16777102, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(2583, 4194379, F25, 2, 15) (dual of [(4194379, 2), 8388675, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2587, 4194951, F25, 2, 15) (dual of [(4194951, 2), 8389815, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(2588, 4194952, F25, 2, 15) (dual of [(4194952, 2), 8389816, 16]-NRT-code) | [i] | ||