Information on Result #618527

Linear OA(4941, 5764802, F49, 11) (dual of [5764802, 5764761, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, 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(4946, 5764852, F49, 11) (dual of [5764852, 5764806, 12]-code) [i](u, u+v)-Construction
2Linear OA(4947, 5764855, F49, 11) (dual of [5764855, 5764808, 12]-code) [i]
3Linear OA(4948, 5767155, F49, 11) (dual of [5767155, 5767107, 12]-code) [i]
4Linear OA(4950, 5767204, F49, 11) (dual of [5767204, 5767154, 12]-code) [i]
5Linear OA(4950, 5767205, F49, 11) (dual of [5767205, 5767155, 12]-code) [i]
6Linear OA(4950, 5764814, F49, 11) (dual of [5764814, 5764764, 12]-code) [i]Generalized (u, u+v)-Construction
7Linear OA(4949, 5764902, F49, 11) (dual of [5764902, 5764853, 12]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(4950, 5764905, F49, 11) (dual of [5764905, 5764855, 12]-code) [i]
9Linear OA(4946, 5764808, F49, 11) (dual of [5764808, 5764762, 12]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(4950, 5764811, F49, 13) (dual of [5764811, 5764761, 14]-code) [i]✔
11Linear OA(4942, 5764811, F49, 11) (dual of [5764811, 5764769, 12]-code) [i]✔
12Linear OA(4944, 5764821, F49, 11) (dual of [5764821, 5764777, 12]-code) [i]✔