Information on Result #604423

Linear OA(337, 38, F3, 37) (dual of [38, 1, 38]-code or 38-arc in PG(36,3)), using dual of repetition code with length 38

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(337, 38, F3, 36) (dual of [38, 1, 37]-code) [i]Strength Reduction
2Linear OA(337, 38, F3, 35) (dual of [38, 1, 36]-code) [i]
3Linear OA(337, 38, F3, 34) (dual of [38, 1, 35]-code) [i]
4Linear OA(337, 38, F3, 33) (dual of [38, 1, 34]-code) [i]
5Linear OA(337, 38, F3, 32) (dual of [38, 1, 33]-code) [i]
6Linear OA(337, 38, F3, 31) (dual of [38, 1, 32]-code) [i]
7Linear OA(337, 38, F3, 30) (dual of [38, 1, 31]-code) [i]
8Linear OA(337, 38, F3, 29) (dual of [38, 1, 30]-code) [i]
9Linear OA(3101, 174, F3, 37) (dual of [174, 73, 38]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(3102, 179, F3, 37) (dual of [179, 77, 38]-code) [i]
11Linear OA(3103, 184, F3, 37) (dual of [184, 81, 38]-code) [i]
12Linear OA(3104, 189, F3, 37) (dual of [189, 85, 38]-code) [i]
13Linear OA(3108, 211, F3, 37) (dual of [211, 103, 38]-code) [i]
14Linear OA(3109, 217, F3, 37) (dual of [217, 108, 38]-code) [i]
15Linear OA(3117, 272, F3, 37) (dual of [272, 155, 38]-code) [i]
16Linear OA(3118, 280, F3, 37) (dual of [280, 162, 38]-code) [i]
17Linear OA(3119, 288, F3, 37) (dual of [288, 169, 38]-code) [i]
18Linear OA(3121, 305, F3, 37) (dual of [305, 184, 38]-code) [i]
19Linear OA(3122, 314, F3, 37) (dual of [314, 192, 38]-code) [i]
20Linear OA(3123, 323, F3, 37) (dual of [323, 200, 38]-code) [i]
21Linear OA(3125, 342, F3, 37) (dual of [342, 217, 38]-code) [i]
22Linear OA(3140, 530, F3, 37) (dual of [530, 390, 38]-code) [i]
23Linear OA(3141, 546, F3, 37) (dual of [546, 405, 38]-code) [i]
24Linear OA(3154, 803, F3, 37) (dual of [803, 649, 38]-code) [i]
25Linear OA(3158, 905, F3, 37) (dual of [905, 747, 38]-code) [i]
26Linear OA(3228, 282, F3, 75) (dual of [282, 54, 76]-code) [i]Construction X with Cyclic Codes
27Linear OA(3218, 19722, F3, 33) (dual of [19722, 19504, 34]-code) [i]Construction X4 with Cyclic Codes