Information on Result #724288
Linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−9,−8,…,29}, and designed minimum distance d ≥ |I|+1 = 40
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(2587, 663, F25, 39) (dual of [663, 576, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(2586, 661, F25, 39) (dual of [661, 575, 40]-code) | [i] | ✔ | |
3 | Linear OA(2585, 660, F25, 39) (dual of [660, 575, 40]-code) | [i] | ✔ | |
4 | Linear OA(2584, 658, F25, 39) (dual of [658, 574, 40]-code) | [i] | ✔ | |
5 | Linear OA(2583, 655, F25, 39) (dual of [655, 572, 40]-code) | [i] | ✔ | |
6 | Linear OA(2582, 652, F25, 39) (dual of [652, 570, 40]-code) | [i] | ✔ | |
7 | Linear OA(2584, 652, F25, 40) (dual of [652, 568, 41]-code) | [i] | ✔ | |
8 | Linear OA(2587, 655, F25, 41) (dual of [655, 568, 42]-code) | [i] | ✔ | |
9 | Linear OA(2590, 658, F25, 42) (dual of [658, 568, 43]-code) | [i] | ✔ | |
10 | Linear OA(2593, 661, F25, 43) (dual of [661, 568, 44]-code) | [i] | ✔ | |
11 | Linear OA(2596, 664, F25, 44) (dual of [664, 568, 45]-code) | [i] | ✔ | |
12 | Linear OA(2599, 667, F25, 45) (dual of [667, 568, 46]-code) | [i] | ✔ | |
13 | Linear OA(25102, 670, F25, 46) (dual of [670, 568, 47]-code) | [i] | ✔ | |
14 | Linear OA(25105, 673, F25, 47) (dual of [673, 568, 48]-code) | [i] | ✔ | |
15 | Linear OA(25108, 676, F25, 48) (dual of [676, 568, 49]-code) | [i] | ✔ |