Information on Result #861285
Linear OOA(2586, 4194301, F25, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using OOA 2-folding based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(2588, 4194302, F25, 2, 18) (dual of [(4194302, 2), 8388516, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2590, 4194303, F25, 2, 18) (dual of [(4194303, 2), 8388516, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2592, 4194304, F25, 2, 18) (dual of [(4194304, 2), 8388516, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2594, 4194305, F25, 2, 18) (dual of [(4194305, 2), 8388516, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2587, 4194301, F25, 2, 18) (dual of [(4194301, 2), 8388515, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2595, 4194327, F25, 2, 18) (dual of [(4194327, 2), 8388559, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2596, 4194328, F25, 2, 18) (dual of [(4194328, 2), 8388560, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(2597, 4194329, F25, 2, 18) (dual of [(4194329, 2), 8388561, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(2598, 4194353, F25, 2, 18) (dual of [(4194353, 2), 8388608, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(2599, 4194367, F25, 2, 18) (dual of [(4194367, 2), 8388635, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(25102, 4194405, F25, 2, 18) (dual of [(4194405, 2), 8388708, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(25103, 4194615, F25, 2, 18) (dual of [(4194615, 2), 8389127, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(25104, 4194616, F25, 2, 18) (dual of [(4194616, 2), 8389128, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(25105, 4194618, F25, 2, 18) (dual of [(4194618, 2), 8389131, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(25106, 4194619, F25, 2, 18) (dual of [(4194619, 2), 8389132, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(25107, 4194641, F25, 2, 18) (dual of [(4194641, 2), 8389175, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(25108, 4194642, F25, 2, 18) (dual of [(4194642, 2), 8389176, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(25109, 4194915, F25, 2, 18) (dual of [(4194915, 2), 8389721, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(25110, 4196254, F25, 2, 18) (dual of [(4196254, 2), 8392398, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(25109, 4194951, F25, 2, 18) (dual of [(4194951, 2), 8389793, 19]-NRT-code) | [i] | ||