Information on Result #693134
Linear OA(2581, 390629, F25, 21) (dual of [390629, 390548, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(2581, 390625, F25, 21) (dual of [390625, 390544, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(2594, 390681, F25, 21) (dual of [390681, 390587, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2595, 390695, F25, 21) (dual of [390695, 390600, 22]-code) | [i] | ||
| 3 | Linear OA(2596, 390697, F25, 21) (dual of [390697, 390601, 22]-code) | [i] | ||
| 4 | Linear OA(2597, 390699, F25, 21) (dual of [390699, 390602, 22]-code) | [i] | ||
| 5 | Linear OA(2598, 390735, F25, 21) (dual of [390735, 390637, 22]-code) | [i] | ||
| 6 | Linear OA(2599, 390839, F25, 21) (dual of [390839, 390740, 22]-code) | [i] | ||
| 7 | Linear OA(25100, 391257, F25, 21) (dual of [391257, 391157, 22]-code) | [i] | ||
| 8 | Linear OOA(2581, 195314, F25, 2, 21) (dual of [(195314, 2), 390547, 22]-NRT-code) | [i] | OOA Folding | |