Information on Result #604661

Linear OA(424, 25, F4, 24) (dual of [25, 1, 25]-code or 25-arc in PG(23,4)), using dual of repetition code with length 25

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(424, 25, F4, 23) (dual of [25, 1, 24]-code) [i]Strength Reduction
2Linear OA(424, 25, F4, 22) (dual of [25, 1, 23]-code) [i]
3Linear OA(424, 25, F4, 21) (dual of [25, 1, 22]-code) [i]
4Linear OA(424, 25, F4, 20) (dual of [25, 1, 21]-code) [i]
5Linear OA(459, 122, F4, 24) (dual of [122, 63, 25]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(461, 136, F4, 24) (dual of [136, 75, 25]-code) [i]
7Linear OA(469, 213, F4, 24) (dual of [213, 144, 25]-code) [i]
8Linear OA(487, 607, F4, 24) (dual of [607, 520, 25]-code) [i]
9Linear OA(488, 644, F4, 24) (dual of [644, 556, 25]-code) [i]
10Linear OA(498, 1167, F4, 24) (dual of [1167, 1069, 25]-code) [i]
11Linear OA(4120, 4362, F4, 24) (dual of [4362, 4242, 25]-code) [i]
12Linear OA(4205, 1050, F4, 49) (dual of [1050, 845, 50]-code) [i]Construction X with Cyclic Codes
13Linear OA(4241, 4122, F4, 49) (dual of [4122, 3881, 50]-code) [i]
14Linear OA(4215, 1050, F4, 51) (dual of [1050, 835, 52]-code) [i]
15Linear OA(4253, 4122, F4, 51) (dual of [4122, 3869, 52]-code) [i]
16Linear OA(4194, 200, F4, 94) (dual of [200, 6, 95]-code) [i]