Information on Result #611407
Linear OA(2241, 4097, F2, 41) (dual of [4097, 3856, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound)
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(2240, 4096, F2, 40) (dual of [4096, 3856, 41]-code) | [i] | Truncation | |
2 | Linear OA(2242, 4122, F2, 39) (dual of [4122, 3880, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
3 | Linear OA(2244, 4101, F2, 41) (dual of [4101, 3857, 42]-code) | [i] | ✔ | |
4 | Linear OA(2245, 4105, F2, 41) (dual of [4105, 3860, 42]-code) | [i] | ✔ | |
5 | Linear OA(2246, 4113, F2, 41) (dual of [4113, 3867, 42]-code) | [i] | ✔ | |
6 | Linear OA(2247, 4127, F2, 41) (dual of [4127, 3880, 42]-code) | [i] | ✔ | |
7 | Linear OA(2259, 4145, F2, 41) (dual of [4145, 3886, 42]-code) | [i] | ✔ | |
8 | Linear OA(2260, 4161, F2, 41) (dual of [4161, 3901, 42]-code) | [i] | ✔ | |
9 | Linear OA(2260, 4162, F2, 41) (dual of [4162, 3902, 42]-code) | [i] | ✔ | |
10 | Linear OA(2259, 4161, F2, 41) (dual of [4161, 3902, 42]-code) | [i] | ✔ | |
11 | Linear OA(2260, 4164, F2, 41) (dual of [4164, 3904, 42]-code) | [i] | ✔ |