Information on Result #861336
Linear OOA(2573, 195314, F25, 2, 19) (dual of [(195314, 2), 390555, 20]-NRT-code), using OOA 2-folding based on linear OA(2573, 390628, F25, 19) (dual of [390628, 390555, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2573, 390629, F25, 19) (dual of [390629, 390556, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] 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
- construction X applied to Ce(18) ⊂ Ce(17) [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(2582, 195340, F25, 2, 19) (dual of [(195340, 2), 390598, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2583, 195341, F25, 2, 19) (dual of [(195341, 2), 390599, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2584, 195342, F25, 2, 19) (dual of [(195342, 2), 390600, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2585, 195366, F25, 2, 19) (dual of [(195366, 2), 390647, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2586, 195380, F25, 2, 19) (dual of [(195380, 2), 390674, 20]-NRT-code) | [i] | ||