Information on Result #697091
Linear OA(3277, 1025, F32, 39) (dual of [1025, 948, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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 OOA(3277, 567, F32, 2, 39) (dual of [(567, 2), 1057, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Digital (38, 77, 567)-net over F32 | [i] | ||
3 | Linear OA(3282, 1030, F32, 41) (dual of [1030, 948, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
4 | Linear OA(3278, 1030, F32, 39) (dual of [1030, 952, 40]-code) | [i] | ✔ | |
5 | Linear OA(3288, 1036, F32, 43) (dual of [1036, 948, 44]-code) | [i] | ✔ | |
6 | Linear OA(3280, 1036, F32, 39) (dual of [1036, 956, 40]-code) | [i] | ✔ | |
7 | Linear OA(3294, 1042, F32, 45) (dual of [1042, 948, 46]-code) | [i] | ✔ | |
8 | Linear OA(3282, 1042, F32, 39) (dual of [1042, 960, 40]-code) | [i] | ✔ | |
9 | Linear OA(32100, 1048, F32, 47) (dual of [1048, 948, 48]-code) | [i] | ✔ | |
10 | Linear OA(3284, 1048, F32, 39) (dual of [1048, 964, 40]-code) | [i] | ✔ | |
11 | Linear OA(32106, 1054, F32, 49) (dual of [1054, 948, 50]-code) | [i] | ✔ | |
12 | Linear OA(3286, 1054, F32, 39) (dual of [1054, 968, 40]-code) | [i] | ✔ | |
13 | Linear OA(3288, 1058, F32, 39) (dual of [1058, 970, 40]-code) | [i] | ✔ | |
14 | Linear OA(3289, 1061, F32, 39) (dual of [1061, 972, 40]-code) | [i] | ✔ | |
15 | Linear OA(3287, 1058, F32, 38) (dual of [1058, 971, 39]-code) | [i] | ✔ | |
16 | Linear OA(3291, 1067, F32, 39) (dual of [1067, 976, 40]-code) | [i] | ✔ | |
17 | Linear OA(3294, 1071, F32, 39) (dual of [1071, 977, 40]-code) | [i] | ✔ | |
18 | Linear OA(3295, 1075, F32, 39) (dual of [1075, 980, 40]-code) | [i] | ✔ |