Information on Result #618524

Linear OA(4931, 117650, F49, 11) (dual of [117650, 117619, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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 OA(762, 235300, F7, 11) (dual of [235300, 235238, 12]-code) [i]Trace Code
2Linear OA(4936, 117700, F49, 11) (dual of [117700, 117664, 12]-code) [i](u, u+v)-Construction
3Linear OA(4937, 117703, F49, 11) (dual of [117703, 117666, 12]-code) [i]
4Linear OA(4938, 120003, F49, 11) (dual of [120003, 119965, 12]-code) [i]
5Linear OA(4940, 120052, F49, 11) (dual of [120052, 120012, 12]-code) [i]
6Linear OA(4940, 120053, F49, 11) (dual of [120053, 120013, 12]-code) [i]
7Linear OA(4940, 117662, F49, 11) (dual of [117662, 117622, 12]-code) [i]Generalized (u, u+v)-Construction
8Linear OA(4939, 117750, F49, 11) (dual of [117750, 117711, 12]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(4940, 117753, F49, 11) (dual of [117753, 117713, 12]-code) [i]
10Linear OA(4936, 117656, F49, 11) (dual of [117656, 117620, 12]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(4938, 117657, F49, 13) (dual of [117657, 117619, 14]-code) [i]✔
12Linear OA(4932, 117657, F49, 11) (dual of [117657, 117625, 12]-code) [i]✔
13Linear OA(4946, 117665, F49, 15) (dual of [117665, 117619, 16]-code) [i]✔
14Linear OA(4934, 117665, F49, 11) (dual of [117665, 117631, 12]-code) [i]✔
15Linear OA(4954, 117673, F49, 17) (dual of [117673, 117619, 18]-code) [i]✔