Information on Result #693131
Linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) 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
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 OA(25104, 390695, F25, 23) (dual of [390695, 390591, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25105, 390697, F25, 23) (dual of [390697, 390592, 24]-code) | [i] | ||
| 3 | Linear OA(25106, 390699, F25, 23) (dual of [390699, 390593, 24]-code) | [i] | ||
| 4 | Linear OA(25107, 390701, F25, 23) (dual of [390701, 390594, 24]-code) | [i] | ||
| 5 | Linear OA(25108, 390737, F25, 23) (dual of [390737, 390629, 24]-code) | [i] | ||
| 6 | Linear OA(25109, 390841, F25, 23) (dual of [390841, 390732, 24]-code) | [i] | ||
| 7 | Linear OA(25110, 391257, F25, 23) (dual of [391257, 391147, 24]-code) | [i] | ||
| 8 | Linear OOA(2589, 195314, F25, 2, 23) (dual of [(195314, 2), 390539, 24]-NRT-code) | [i] | OOA Folding | |