Information on Result #861426
Linear OOA(2596, 4194301, F25, 2, 20) (dual of [(4194301, 2), 8388506, 21]-NRT-code), using OOA 2-folding based on linear OA(2596, 8388602, F25, 20) (dual of [8388602, 8388506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2596, large, F25, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(2598, 4194302, F25, 2, 20) (dual of [(4194302, 2), 8388506, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25100, 4194303, F25, 2, 20) (dual of [(4194303, 2), 8388506, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25102, 4194304, F25, 2, 20) (dual of [(4194304, 2), 8388506, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(25104, 4194305, F25, 2, 20) (dual of [(4194305, 2), 8388506, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2597, 4194301, F25, 2, 20) (dual of [(4194301, 2), 8388505, 21]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(25106, 4194327, F25, 2, 20) (dual of [(4194327, 2), 8388548, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25107, 4194328, F25, 2, 20) (dual of [(4194328, 2), 8388549, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(25108, 4194329, F25, 2, 20) (dual of [(4194329, 2), 8388550, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(25109, 4194353, F25, 2, 20) (dual of [(4194353, 2), 8388597, 21]-NRT-code) | [i] | ||
| 10 | Linear OOA(25110, 4194367, F25, 2, 20) (dual of [(4194367, 2), 8388624, 21]-NRT-code) | [i] | ||