Information on Result #861221
Linear OOA(2581, 4194301, F25, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using OOA 2-folding based on linear OA(2581, 8388602, F25, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2583, 4194302, F25, 2, 17) (dual of [(4194302, 2), 8388521, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2585, 4194303, F25, 2, 17) (dual of [(4194303, 2), 8388521, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2587, 4194304, F25, 2, 17) (dual of [(4194304, 2), 8388521, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2582, 4194301, F25, 2, 17) (dual of [(4194301, 2), 8388520, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2589, 4194327, F25, 2, 17) (dual of [(4194327, 2), 8388565, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2590, 4194328, F25, 2, 17) (dual of [(4194328, 2), 8388566, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2591, 4194329, F25, 2, 17) (dual of [(4194329, 2), 8388567, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2592, 4194353, F25, 2, 17) (dual of [(4194353, 2), 8388614, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2593, 4194367, F25, 2, 17) (dual of [(4194367, 2), 8388641, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2596, 4194615, F25, 2, 17) (dual of [(4194615, 2), 8389134, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(2597, 4194616, F25, 2, 17) (dual of [(4194616, 2), 8389135, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(2598, 4194618, F25, 2, 17) (dual of [(4194618, 2), 8389138, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(2599, 4194619, F25, 2, 17) (dual of [(4194619, 2), 8389139, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(25100, 4194641, F25, 2, 17) (dual of [(4194641, 2), 8389182, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(25101, 4194642, F25, 2, 17) (dual of [(4194642, 2), 8389183, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(25102, 4196254, F25, 2, 17) (dual of [(4196254, 2), 8392406, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(25103, 4202115, F25, 2, 17) (dual of [(4202115, 2), 8404127, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(25104, 4202117, F25, 2, 17) (dual of [(4202117, 2), 8404130, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(25105, 4202119, F25, 2, 17) (dual of [(4202119, 2), 8404133, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(25106, 4202121, F25, 2, 17) (dual of [(4202121, 2), 8404136, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(25107, 4202141, F25, 2, 17) (dual of [(4202141, 2), 8404175, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(25108, 4202143, F25, 2, 17) (dual of [(4202143, 2), 8404178, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(25109, 4202415, F25, 2, 17) (dual of [(4202415, 2), 8404721, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(25110, 4389615, F25, 2, 17) (dual of [(4389615, 2), 8779120, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(2595, 4194379, F25, 2, 17) (dual of [(4194379, 2), 8388663, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(25101, 4194951, F25, 2, 17) (dual of [(4194951, 2), 8389801, 18]-NRT-code) | [i] | ||