Information on Result #860906
Linear OOA(2541, 195314, F25, 2, 11) (dual of [(195314, 2), 390587, 12]-NRT-code), using OOA 2-folding based on linear OA(2541, 390628, F25, 11) (dual of [390628, 390587, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, 390629, F25, 11) (dual of [390629, 390588, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [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(2546, 195340, F25, 2, 11) (dual of [(195340, 2), 390634, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2547, 195341, F25, 2, 11) (dual of [(195341, 2), 390635, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2550, 195640, F25, 2, 11) (dual of [(195640, 2), 391230, 12]-NRT-code) | [i] | ||