Information on Result #604422

Linear OA(336, 37, F3, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,3)), using dual of repetition code with length 37

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(336, 37, F3, 35) (dual of [37, 1, 36]-code) [i]Strength Reduction
2Linear OA(336, 37, F3, 34) (dual of [37, 1, 35]-code) [i]
3Linear OA(336, 37, F3, 33) (dual of [37, 1, 34]-code) [i]
4Linear OA(336, 37, F3, 32) (dual of [37, 1, 33]-code) [i]
5Linear OA(336, 37, F3, 31) (dual of [37, 1, 32]-code) [i]
6Linear OA(336, 37, F3, 30) (dual of [37, 1, 31]-code) [i]
7Linear OA(336, 37, F3, 29) (dual of [37, 1, 30]-code) [i]
8Linear OA(336, 37, F3, 28) (dual of [37, 1, 29]-code) [i]
9Linear OA(388, 128, F3, 36) (dual of [128, 40, 37]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(395, 155, F3, 36) (dual of [155, 60, 37]-code) [i]
11Linear OA(397, 164, F3, 36) (dual of [164, 67, 37]-code) [i]
12Linear OA(3104, 200, F3, 36) (dual of [200, 96, 37]-code) [i]
13Linear OA(3108, 224, F3, 36) (dual of [224, 116, 37]-code) [i]
14Linear OA(3114, 267, F3, 36) (dual of [267, 153, 37]-code) [i]
15Linear OA(3115, 275, F3, 36) (dual of [275, 160, 37]-code) [i]
16Linear OA(3116, 283, F3, 36) (dual of [283, 167, 37]-code) [i]
17Linear OA(3118, 300, F3, 36) (dual of [300, 182, 37]-code) [i]
18Linear OA(3119, 309, F3, 36) (dual of [309, 190, 37]-code) [i]
19Linear OA(3121, 328, F3, 36) (dual of [328, 207, 37]-code) [i]
20Linear OA(3122, 338, F3, 36) (dual of [338, 216, 37]-code) [i]
21Linear OA(3123, 348, F3, 36) (dual of [348, 225, 37]-code) [i]
22Linear OA(3132, 456, F3, 36) (dual of [456, 324, 37]-code) [i]
23Linear OA(3133, 470, F3, 36) (dual of [470, 337, 37]-code) [i]
24Linear OA(3140, 581, F3, 36) (dual of [581, 441, 37]-code) [i]
25Linear OA(3157, 978, F3, 36) (dual of [978, 821, 37]-code) [i]
26Linear OA(3160, 1073, F3, 36) (dual of [1073, 913, 37]-code) [i]
27Linear OA(3163, 1177, F3, 36) (dual of [1177, 1014, 37]-code) [i]
28Linear OA(3164, 1214, F3, 36) (dual of [1214, 1050, 37]-code) [i]
29Linear OA(3184, 2259, F3, 36) (dual of [2259, 2075, 37]-code) [i]
30Linear OA(3188, 2559, F3, 36) (dual of [2559, 2371, 37]-code) [i]
31Linear OA(3189, 2640, F3, 36) (dual of [2640, 2451, 37]-code) [i]