Information on Result #604657

Linear OA(420, 21, F4, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,4)), using dual of repetition code with length 21

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(420, 21, F4, 19) (dual of [21, 1, 20]-code) [i]Strength Reduction
2Linear OA(420, 21, F4, 18) (dual of [21, 1, 19]-code) [i]
3Linear OA(420, 21, F4, 17) (dual of [21, 1, 18]-code) [i]
4Linear OA(4260, 65557, F4, 40) (dual of [65557, 65297, 41]-code) [i](u, u+v)-Construction
5Linear OA(451, 119, F4, 20) (dual of [119, 68, 21]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(455, 156, F4, 20) (dual of [156, 101, 21]-code) [i]
7Linear OA(456, 167, F4, 20) (dual of [167, 111, 21]-code) [i]
8Linear OA(457, 179, F4, 20) (dual of [179, 122, 21]-code) [i]
9Linear OA(465, 313, F4, 20) (dual of [313, 248, 21]-code) [i]
10Linear OA(466, 336, F4, 20) (dual of [336, 270, 21]-code) [i]
11Linear OA(482, 1058, F4, 20) (dual of [1058, 976, 21]-code) [i]
12Linear OA(4102, 4520, F4, 20) (dual of [4520, 4418, 21]-code) [i]
13Linear OA(4201, 4118, F4, 41) (dual of [4118, 3917, 42]-code) [i]Construction X with Cyclic Codes
14Linear OA(4231, 16406, F4, 41) (dual of [16406, 16175, 42]-code) [i]
15Linear OA(4141, 278, F4, 43) (dual of [278, 137, 44]-code) [i]
16Linear OA(4181, 1046, F4, 43) (dual of [1046, 865, 44]-code) [i]
17Linear OA(4213, 4118, F4, 43) (dual of [4118, 3905, 44]-code) [i]
18Linear OA(4245, 16406, F4, 43) (dual of [16406, 16161, 44]-code) [i]
19Linear OA(4252, 269, F4, 161) (dual of [269, 17, 162]-code) [i]Construction X with VarÅ¡amov Bound
20Linear OA(4253, 270, F4, 162) (dual of [270, 17, 163]-code) [i]
21Linear OA(4254, 271, F4, 163) (dual of [271, 17, 164]-code) [i]