Information on Result #606599

Linear OA(8134, 81, F81, 34) (dual of [81, 47, 35]-code or 81-arc in PG(33,81)), using Reed–Solomon code RS(47,81)

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(3217, 405, F3, 69) (dual of [405, 188, 70]-code) [i]Concatenation of Two Codes
2Linear OA(3216, 400, F3, 69) (dual of [400, 184, 70]-code) [i]
3Linear OA(3215, 395, F3, 69) (dual of [395, 180, 70]-code) [i]
4Linear OA(3214, 390, F3, 69) (dual of [390, 176, 70]-code) [i]
5Linear OA(3213, 385, F3, 69) (dual of [385, 172, 70]-code) [i]
6Linear OA(3212, 380, F3, 69) (dual of [380, 168, 70]-code) [i]
7Linear OA(3211, 375, F3, 69) (dual of [375, 164, 70]-code) [i]
8Linear OA(3210, 370, F3, 69) (dual of [370, 160, 70]-code) [i]
9Linear OA(3209, 365, F3, 69) (dual of [365, 156, 70]-code) [i]
10Linear OA(3208, 360, F3, 69) (dual of [360, 152, 70]-code) [i]
11Linear OA(3207, 355, F3, 69) (dual of [355, 148, 70]-code) [i]
12Linear OA(3206, 350, F3, 69) (dual of [350, 144, 70]-code) [i]
13Linear OA(3205, 345, F3, 69) (dual of [345, 140, 70]-code) [i]
14Linear OA(3204, 340, F3, 69) (dual of [340, 136, 70]-code) [i]
15Linear OA(3203, 335, F3, 69) (dual of [335, 132, 70]-code) [i]
16Linear OA(3202, 330, F3, 69) (dual of [330, 128, 70]-code) [i]
17Linear OA(3201, 325, F3, 69) (dual of [325, 124, 70]-code) [i]
18Linear OA(3200, 320, F3, 69) (dual of [320, 120, 70]-code) [i]
19Linear OA(3199, 315, F3, 69) (dual of [315, 116, 70]-code) [i]
20Linear OA(3198, 310, F3, 69) (dual of [310, 112, 70]-code) [i]
21Linear OA(9141, 219, F9, 69) (dual of [219, 78, 70]-code) [i]
22Linear OA(9140, 216, F9, 69) (dual of [216, 76, 70]-code) [i]
23Linear OA(9139, 213, F9, 69) (dual of [213, 74, 70]-code) [i]
24Linear OA(9138, 210, F9, 69) (dual of [210, 72, 70]-code) [i]
25Linear OA(9137, 207, F9, 69) (dual of [207, 70, 70]-code) [i]
26Linear OA(9136, 204, F9, 69) (dual of [204, 68, 70]-code) [i]
27Linear OA(9135, 201, F9, 69) (dual of [201, 66, 70]-code) [i]
28Linear OA(9134, 198, F9, 69) (dual of [198, 64, 70]-code) [i]
29Linear OA(9133, 195, F9, 69) (dual of [195, 62, 70]-code) [i]
30Linear OA(9132, 192, F9, 69) (dual of [192, 60, 70]-code) [i]
31Linear OA(9131, 189, F9, 69) (dual of [189, 58, 70]-code) [i]
32Linear OA(9130, 186, F9, 69) (dual of [186, 56, 70]-code) [i]
33Linear OA(9129, 183, F9, 69) (dual of [183, 54, 70]-code) [i]
34Linear OA(9128, 180, F9, 69) (dual of [180, 52, 70]-code) [i]
35Linear OA(9127, 177, F9, 69) (dual of [177, 50, 70]-code) [i]
36Linear OA(9126, 174, F9, 69) (dual of [174, 48, 70]-code) [i]
37Linear OA(9125, 171, F9, 69) (dual of [171, 46, 70]-code) [i]
38Linear OA(9124, 168, F9, 69) (dual of [168, 44, 70]-code) [i]
39Linear OA(9123, 165, F9, 69) (dual of [165, 42, 70]-code) [i]
40Linear OA(9122, 162, F9, 69) (dual of [162, 40, 70]-code) [i]
41Linear OA(9121, 159, F9, 69) (dual of [159, 38, 70]-code) [i]
42Linear OA(9120, 156, F9, 69) (dual of [156, 36, 70]-code) [i]
43Linear OA(9119, 153, F9, 69) (dual of [153, 34, 70]-code) [i]
44Linear OA(9118, 150, F9, 69) (dual of [150, 32, 70]-code) [i]
45Linear OA(9117, 147, F9, 69) (dual of [147, 30, 70]-code) [i]
46Linear OA(9116, 144, F9, 69) (dual of [144, 28, 70]-code) [i]
47Linear OA(9115, 141, F9, 69) (dual of [141, 26, 70]-code) [i]
48Linear OA(9114, 138, F9, 69) (dual of [138, 24, 70]-code) [i]
49Linear OA(9113, 135, F9, 69) (dual of [135, 22, 70]-code) [i]
50Linear OA(9112, 132, F9, 69) (dual of [132, 20, 70]-code) [i]
51Linear OA(9111, 129, F9, 69) (dual of [129, 18, 70]-code) [i]
52Linear OA(9150, 164, F9, 104) (dual of [164, 14, 105]-code) [i]
53Linear OOA(3250, 171, F3, 2, 104) (dual of [(171, 2), 92, 105]-NRT-code) [i]Concatenation of Two NRT-Codes
54Linear OOA(3248, 168, F3, 2, 104) (dual of [(168, 2), 88, 105]-NRT-code) [i]
55Linear OOA(3246, 165, F3, 2, 104) (dual of [(165, 2), 84, 105]-NRT-code) [i]
56Linear OOA(3244, 162, F3, 2, 104) (dual of [(162, 2), 80, 105]-NRT-code) [i]
57Linear OOA(3242, 159, F3, 2, 104) (dual of [(159, 2), 76, 105]-NRT-code) [i]
58Linear OOA(3240, 156, F3, 2, 104) (dual of [(156, 2), 72, 105]-NRT-code) [i]
59Linear OOA(3238, 153, F3, 2, 104) (dual of [(153, 2), 68, 105]-NRT-code) [i]
60Linear OOA(3236, 150, F3, 2, 104) (dual of [(150, 2), 64, 105]-NRT-code) [i]