Information on Result #861646
Linear OOA(2589, 195314, F25, 2, 23) (dual of [(195314, 2), 390539, 24]-NRT-code), using OOA 2-folding based on linear OA(2589, 390628, F25, 23) (dual of [390628, 390539, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- 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(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [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(25100, 195340, F25, 2, 23) (dual of [(195340, 2), 390580, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25101, 195341, F25, 2, 23) (dual of [(195341, 2), 390581, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(25102, 195342, F25, 2, 23) (dual of [(195342, 2), 390582, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(25103, 195366, F25, 2, 23) (dual of [(195366, 2), 390629, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(25104, 195380, F25, 2, 23) (dual of [(195380, 2), 390656, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(25108, 195392, F25, 2, 23) (dual of [(195392, 2), 390676, 24]-NRT-code) | [i] | ||