Information on Result #606601

Linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using Reed–Solomon code RS(45,81)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3225, 405, F3, 73) (dual of [405, 180, 74]-code) [i]Concatenation of Two Codes
2Linear OA(3224, 400, F3, 73) (dual of [400, 176, 74]-code) [i]
3Linear OA(3223, 395, F3, 73) (dual of [395, 172, 74]-code) [i]
4Linear OA(3222, 390, F3, 73) (dual of [390, 168, 74]-code) [i]
5Linear OA(3221, 385, F3, 73) (dual of [385, 164, 74]-code) [i]
6Linear OA(3220, 380, F3, 73) (dual of [380, 160, 74]-code) [i]
7Linear OA(3219, 375, F3, 73) (dual of [375, 156, 74]-code) [i]
8Linear OA(3218, 370, F3, 73) (dual of [370, 152, 74]-code) [i]
9Linear OA(3217, 365, F3, 73) (dual of [365, 148, 74]-code) [i]
10Linear OA(3216, 360, F3, 73) (dual of [360, 144, 74]-code) [i]
11Linear OA(3215, 355, F3, 73) (dual of [355, 140, 74]-code) [i]
12Linear OA(3214, 350, F3, 73) (dual of [350, 136, 74]-code) [i]
13Linear OA(3213, 345, F3, 73) (dual of [345, 132, 74]-code) [i]
14Linear OA(3212, 340, F3, 73) (dual of [340, 128, 74]-code) [i]
15Linear OA(3211, 335, F3, 73) (dual of [335, 124, 74]-code) [i]
16Linear OA(3210, 330, F3, 73) (dual of [330, 120, 74]-code) [i]
17Linear OA(3209, 325, F3, 73) (dual of [325, 116, 74]-code) [i]
18Linear OA(3208, 320, F3, 73) (dual of [320, 112, 74]-code) [i]
19Linear OA(3207, 315, F3, 73) (dual of [315, 108, 74]-code) [i]
20Linear OA(3206, 310, F3, 73) (dual of [310, 104, 74]-code) [i]
21Linear OA(9150, 234, F9, 73) (dual of [234, 84, 74]-code) [i]
22Linear OA(9149, 231, F9, 73) (dual of [231, 82, 74]-code) [i]
23Linear OA(9148, 228, F9, 73) (dual of [228, 80, 74]-code) [i]
24Linear OA(9147, 225, F9, 73) (dual of [225, 78, 74]-code) [i]
25Linear OA(9146, 222, F9, 73) (dual of [222, 76, 74]-code) [i]
26Linear OA(9145, 219, F9, 73) (dual of [219, 74, 74]-code) [i]
27Linear OA(9144, 216, F9, 73) (dual of [216, 72, 74]-code) [i]
28Linear OA(9143, 213, F9, 73) (dual of [213, 70, 74]-code) [i]
29Linear OA(9142, 210, F9, 73) (dual of [210, 68, 74]-code) [i]
30Linear OA(9141, 207, F9, 73) (dual of [207, 66, 74]-code) [i]
31Linear OA(9140, 204, F9, 73) (dual of [204, 64, 74]-code) [i]
32Linear OA(9139, 201, F9, 73) (dual of [201, 62, 74]-code) [i]
33Linear OA(9138, 198, F9, 73) (dual of [198, 60, 74]-code) [i]
34Linear OA(9137, 195, F9, 73) (dual of [195, 58, 74]-code) [i]
35Linear OA(9136, 192, F9, 73) (dual of [192, 56, 74]-code) [i]
36Linear OA(9135, 189, F9, 73) (dual of [189, 54, 74]-code) [i]
37Linear OA(9134, 186, F9, 73) (dual of [186, 52, 74]-code) [i]
38Linear OA(9133, 183, F9, 73) (dual of [183, 50, 74]-code) [i]
39Linear OA(9132, 180, F9, 73) (dual of [180, 48, 74]-code) [i]
40Linear OA(9131, 177, F9, 73) (dual of [177, 46, 74]-code) [i]
41Linear OA(9130, 174, F9, 73) (dual of [174, 44, 74]-code) [i]
42Linear OA(9129, 171, F9, 73) (dual of [171, 42, 74]-code) [i]
43Linear OA(9128, 168, F9, 73) (dual of [168, 40, 74]-code) [i]
44Linear OA(9127, 165, F9, 73) (dual of [165, 38, 74]-code) [i]
45Linear OA(9126, 162, F9, 73) (dual of [162, 36, 74]-code) [i]
46Linear OA(9125, 159, F9, 73) (dual of [159, 34, 74]-code) [i]
47Linear OA(9124, 156, F9, 73) (dual of [156, 32, 74]-code) [i]
48Linear OA(9123, 153, F9, 73) (dual of [153, 30, 74]-code) [i]
49Linear OA(9122, 150, F9, 73) (dual of [150, 28, 74]-code) [i]
50Linear OA(9121, 147, F9, 73) (dual of [147, 26, 74]-code) [i]
51Linear OA(9120, 144, F9, 73) (dual of [144, 24, 74]-code) [i]
52Linear OA(9119, 141, F9, 73) (dual of [141, 22, 74]-code) [i]
53Linear OA(9118, 138, F9, 73) (dual of [138, 20, 74]-code) [i]
54Linear OA(9117, 135, F9, 73) (dual of [135, 18, 74]-code) [i]
55Linear OA(9116, 132, F9, 73) (dual of [132, 16, 74]-code) [i]
56Linear OOA(3250, 159, F3, 2, 110) (dual of [(159, 2), 68, 111]-NRT-code) [i]Concatenation of Two NRT-Codes