Information on Result #618546

Linear OA(4937, 117650, F49, 13) (dual of [117650, 117613, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(774, 235300, F7, 13) (dual of [235300, 235226, 14]-code) [i]Trace Code
2Linear OA(4943, 117700, F49, 13) (dual of [117700, 117657, 14]-code) [i](u, u+v)-Construction
3Linear OA(4944, 117703, F49, 13) (dual of [117703, 117659, 14]-code) [i]
4Linear OA(4945, 117705, F49, 13) (dual of [117705, 117660, 14]-code) [i]
5Linear OA(4946, 117750, F49, 13) (dual of [117750, 117704, 14]-code) [i]
6Linear OA(4947, 117891, F49, 13) (dual of [117891, 117844, 14]-code) [i]
7Linear OA(4948, 120051, F49, 13) (dual of [120051, 120003, 14]-code) [i]
8Linear OA(4947, 117750, F49, 13) (dual of [117750, 117703, 14]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(4948, 117753, F49, 13) (dual of [117753, 117705, 14]-code) [i]
10Linear OA(4943, 117657, F49, 13) (dual of [117657, 117614, 14]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(4944, 117657, F49, 15) (dual of [117657, 117613, 16]-code) [i]✔
12Linear OA(4938, 117657, F49, 13) (dual of [117657, 117619, 14]-code) [i]✔
13Linear OA(4952, 117665, F49, 17) (dual of [117665, 117613, 18]-code) [i]✔
14Linear OA(4940, 117665, F49, 13) (dual of [117665, 117625, 14]-code) [i]✔
15Linear OA(4942, 117673, F49, 13) (dual of [117673, 117631, 14]-code) [i]✔