Information on Result #693137
Linear OA(2573, 390629, F25, 19) (dual of [390629, 390556, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(2585, 390681, F25, 19) (dual of [390681, 390596, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2586, 390695, F25, 19) (dual of [390695, 390609, 20]-code) | [i] | ||
| 3 | Linear OA(2587, 390697, F25, 19) (dual of [390697, 390610, 20]-code) | [i] | ||
| 4 | Linear OA(2588, 390733, F25, 19) (dual of [390733, 390645, 20]-code) | [i] | ||
| 5 | Linear OA(2589, 390837, F25, 19) (dual of [390837, 390748, 20]-code) | [i] | ||
| 6 | Linear OA(2590, 391257, F25, 19) (dual of [391257, 391167, 20]-code) | [i] | ||
| 7 | Linear OOA(2573, 195314, F25, 2, 19) (dual of [(195314, 2), 390555, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2573, 43403, F25, 19, 19) (dual of [(43403, 19), 824584, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |