Information on Result #861817
Linear OOA(2597, 195314, F25, 2, 25) (dual of [(195314, 2), 390531, 26]-NRT-code), using OOA 2-folding based on linear OA(2597, 390628, F25, 25) (dual of [390628, 390531, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2597, 390629, F25, 25) (dual of [390629, 390532, 26]-code), using
- 1 times truncation [i] based on linear OA(2598, 390630, F25, 26) (dual of [390630, 390532, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 1 times truncation [i] based on linear OA(2598, 390630, F25, 26) (dual of [390630, 390532, 27]-code), using
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(25109, 195340, F25, 2, 25) (dual of [(195340, 2), 390571, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25110, 195341, F25, 2, 25) (dual of [(195341, 2), 390572, 26]-NRT-code) | [i] | ||