Information on Result #860736
Linear OOA(2513, 195314, F25, 2, 4) (dual of [(195314, 2), 390615, 5]-NRT-code), using OOA 2-folding based on linear OA(2513, 390628, F25, 4) (dual of [390628, 390615, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2513, 390629, F25, 4) (dual of [390629, 390616, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(259, 390625, F25, 3) (dual of [390625, 390616, 4]-code or 390625-cap in PG(8,25)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(3) ⊂ Ce(2) [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(2515, 195340, F25, 2, 4) (dual of [(195340, 2), 390665, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2549, 4389615, F25, 2, 8) (dual of [(4389615, 2), 8779181, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(2554, 4389615, F25, 2, 9) (dual of [(4389615, 2), 8779176, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(2520, 4882850, F25, 2, 4) (dual of [(4882850, 2), 9765680, 5]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |