Information on Result #693301
Linear OA(2597, 15626, F25, 33) (dual of [15626, 15529, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2597, 11023, F25, 2, 33) (dual of [(11023, 2), 21949, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Digital (64, 97, 11023)-net over F25 | [i] | ||
3 | Linear OA(25104, 15633, F25, 35) (dual of [15633, 15529, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
4 | Linear OA(2598, 15633, F25, 33) (dual of [15633, 15535, 34]-code) | [i] | ✔ | |
5 | Linear OA(25100, 15641, F25, 33) (dual of [15641, 15541, 34]-code) | [i] | ✔ | |
6 | Linear OA(25102, 15649, F25, 33) (dual of [15649, 15547, 34]-code) | [i] | ✔ | |
7 | Linear OA(25104, 15652, F25, 33) (dual of [15652, 15548, 34]-code) | [i] | ✔ | |
8 | Linear OA(25105, 15655, F25, 33) (dual of [15655, 15550, 34]-code) | [i] | ✔ | |
9 | Linear OA(25106, 15657, F25, 33) (dual of [15657, 15551, 34]-code) | [i] | ✔ | |
10 | Linear OA(25107, 15660, F25, 33) (dual of [15660, 15553, 34]-code) | [i] | ✔ | |
11 | Linear OA(25103, 15652, F25, 32) (dual of [15652, 15549, 33]-code) | [i] | ✔ | |
12 | Linear OA(25104, 15655, F25, 32) (dual of [15655, 15551, 33]-code) | [i] | ✔ | |
13 | Linear OA(25105, 15657, F25, 32) (dual of [15657, 15552, 33]-code) | [i] | ✔ | |
14 | Linear OA(25109, 15668, F25, 33) (dual of [15668, 15559, 34]-code) | [i] | ✔ |