Information on Result #684889

Linear OA(781, 2402, F7, 23) (dual of [2402, 2321, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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:

ResultThis
result
only		Method
1Linear OOA(781, 2385, F7, 2, 23) (dual of [(2385, 2), 4689, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(781, 2385, F7, 3, 23) (dual of [(2385, 3), 7074, 24]-NRT-code) [i]
3Digital (58, 81, 2385)-net over F7 [i]
4Linear OA(790, 2411, F7, 25) (dual of [2411, 2321, 26]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(782, 2411, F7, 23) (dual of [2411, 2329, 24]-code) [i]✔
6Linear OA(7104, 2425, F7, 29) (dual of [2425, 2321, 30]-code) [i]✔
7Linear OA(7101, 2422, F7, 27) (dual of [2422, 2321, 28]-code) [i]✔
8Linear OA(785, 2422, F7, 23) (dual of [2422, 2337, 24]-code) [i]✔
9Linear OA(788, 2433, F7, 23) (dual of [2433, 2345, 24]-code) [i]✔
10Linear OA(7103, 2417, F7, 29) (dual of [2417, 2314, 30]-code) [i]✔Construction XX with a Chain of Cyclic Codes
11Linear OA(7100, 2414, F7, 27) (dual of [2414, 2314, 28]-code) [i]✔
12Linear OA(7108, 2432, F7, 29) (dual of [2432, 2324, 30]-code) [i]✔
13Linear OA(7107, 2430, F7, 29) (dual of [2430, 2323, 30]-code) [i]✔
14Linear OA(7106, 2428, F7, 29) (dual of [2428, 2322, 30]-code) [i]✔
15Linear OA(7103, 2425, F7, 27) (dual of [2425, 2322, 28]-code) [i]✔
16Linear OA(792, 2414, F7, 25) (dual of [2414, 2322, 26]-code) [i]✔
17Linear OA(784, 2414, F7, 23) (dual of [2414, 2330, 24]-code) [i]✔
18Linear OA(787, 2425, F7, 23) (dual of [2425, 2338, 24]-code) [i]✔