Information on Result #604412

Linear OA(326, 27, F3, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,3)), using dual of repetition code with length 27

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(326, 27, F3, 25) (dual of [27, 1, 26]-code) [i]Strength Reduction
2Linear OA(326, 27, F3, 24) (dual of [27, 1, 25]-code) [i]
3Linear OA(326, 27, F3, 23) (dual of [27, 1, 24]-code) [i]
4Linear OA(326, 27, F3, 22) (dual of [27, 1, 23]-code) [i]
5Linear OA(326, 27, F3, 21) (dual of [27, 1, 22]-code) [i]
6Linear OA(3234, 756, F3, 53) (dual of [756, 522, 54]-code) [i](u, u+v)-Construction
7Linear OA(3228, 756, F3, 52) (dual of [756, 528, 53]-code) [i]
8Linear OA(357, 78, F3, 26) (dual of [78, 21, 27]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(370, 123, F3, 26) (dual of [123, 53, 27]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(371, 128, F3, 26) (dual of [128, 57, 27]-code) [i]
11Linear OA(383, 208, F3, 26) (dual of [208, 125, 27]-code) [i]
12Linear OA(384, 217, F3, 26) (dual of [217, 133, 27]-code) [i]
13Linear OA(385, 226, F3, 26) (dual of [226, 141, 27]-code) [i]
14Linear OA(388, 256, F3, 26) (dual of [256, 168, 27]-code) [i]
15Linear OA(389, 267, F3, 26) (dual of [267, 178, 27]-code) [i]
16Linear OA(397, 374, F3, 26) (dual of [374, 277, 27]-code) [i]
17Linear OA(399, 407, F3, 26) (dual of [407, 308, 27]-code) [i]
18Linear OA(3100, 425, F3, 26) (dual of [425, 325, 27]-code) [i]