Information on Result #861732
Linear OOA(2593, 195314, F25, 2, 24) (dual of [(195314, 2), 390535, 25]-NRT-code), using OOA 2-folding based on linear OA(2593, 390628, F25, 24) (dual of [390628, 390535, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2593, 390625, F25, 24) (dual of [390625, 390532, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(25105, 195340, F25, 2, 24) (dual of [(195340, 2), 390575, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25106, 195341, F25, 2, 24) (dual of [(195341, 2), 390576, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(25107, 195342, F25, 2, 24) (dual of [(195342, 2), 390577, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(25108, 195366, F25, 2, 24) (dual of [(195366, 2), 390624, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(25109, 195380, F25, 2, 24) (dual of [(195380, 2), 390651, 25]-NRT-code) | [i] | ||