Information on Result #606595

Linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using Reed–Solomon code RS(51,81)

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(3201, 405, F3, 61) (dual of [405, 204, 62]-code) [i]Concatenation of Two Codes
2Linear OA(3200, 400, F3, 61) (dual of [400, 200, 62]-code) [i]
3Linear OA(3199, 395, F3, 61) (dual of [395, 196, 62]-code) [i]
4Linear OA(3198, 390, F3, 61) (dual of [390, 192, 62]-code) [i]
5Linear OA(3197, 385, F3, 61) (dual of [385, 188, 62]-code) [i]
6Linear OA(3196, 380, F3, 61) (dual of [380, 184, 62]-code) [i]
7Linear OA(3195, 375, F3, 61) (dual of [375, 180, 62]-code) [i]
8Linear OA(3194, 370, F3, 61) (dual of [370, 176, 62]-code) [i]
9Linear OA(3193, 365, F3, 61) (dual of [365, 172, 62]-code) [i]
10Linear OA(3192, 360, F3, 61) (dual of [360, 168, 62]-code) [i]
11Linear OA(3191, 355, F3, 61) (dual of [355, 164, 62]-code) [i]
12Linear OA(3190, 350, F3, 61) (dual of [350, 160, 62]-code) [i]
13Linear OA(3189, 345, F3, 61) (dual of [345, 156, 62]-code) [i]
14Linear OA(3188, 340, F3, 61) (dual of [340, 152, 62]-code) [i]
15Linear OA(3187, 335, F3, 61) (dual of [335, 148, 62]-code) [i]
16Linear OA(3186, 330, F3, 61) (dual of [330, 144, 62]-code) [i]
17Linear OA(3185, 325, F3, 61) (dual of [325, 140, 62]-code) [i]
18Linear OA(3184, 320, F3, 61) (dual of [320, 136, 62]-code) [i]
19Linear OA(3183, 315, F3, 61) (dual of [315, 132, 62]-code) [i]
20Linear OA(3182, 310, F3, 61) (dual of [310, 128, 62]-code) [i]
21Linear OA(3181, 305, F3, 61) (dual of [305, 124, 62]-code) [i]
22Linear OA(3180, 300, F3, 61) (dual of [300, 120, 62]-code) [i]
23Linear OA(3179, 295, F3, 61) (dual of [295, 116, 62]-code) [i]
24Linear OA(3178, 290, F3, 61) (dual of [290, 112, 62]-code) [i]
25Linear OA(3177, 285, F3, 61) (dual of [285, 108, 62]-code) [i]
26Linear OA(3176, 280, F3, 61) (dual of [280, 104, 62]-code) [i]
27Linear OA(3175, 275, F3, 61) (dual of [275, 100, 62]-code) [i]
28Linear OA(9123, 189, F9, 61) (dual of [189, 66, 62]-code) [i]
29Linear OA(9122, 186, F9, 61) (dual of [186, 64, 62]-code) [i]
30Linear OA(9121, 183, F9, 61) (dual of [183, 62, 62]-code) [i]
31Linear OA(9120, 180, F9, 61) (dual of [180, 60, 62]-code) [i]
32Linear OA(9119, 177, F9, 61) (dual of [177, 58, 62]-code) [i]
33Linear OA(9118, 174, F9, 61) (dual of [174, 56, 62]-code) [i]
34Linear OA(9117, 171, F9, 61) (dual of [171, 54, 62]-code) [i]
35Linear OA(9116, 168, F9, 61) (dual of [168, 52, 62]-code) [i]
36Linear OA(9115, 165, F9, 61) (dual of [165, 50, 62]-code) [i]
37Linear OA(9114, 162, F9, 61) (dual of [162, 48, 62]-code) [i]
38Linear OA(9113, 159, F9, 61) (dual of [159, 46, 62]-code) [i]
39Linear OA(9112, 156, F9, 61) (dual of [156, 44, 62]-code) [i]
40Linear OA(9111, 153, F9, 61) (dual of [153, 42, 62]-code) [i]
41Linear OA(9110, 150, F9, 61) (dual of [150, 40, 62]-code) [i]
42Linear OA(9109, 147, F9, 61) (dual of [147, 38, 62]-code) [i]
43Linear OA(9108, 144, F9, 61) (dual of [144, 36, 62]-code) [i]
44Linear OA(9107, 141, F9, 61) (dual of [141, 34, 62]-code) [i]
45Linear OA(9106, 138, F9, 61) (dual of [138, 32, 62]-code) [i]
46Linear OA(9105, 135, F9, 61) (dual of [135, 30, 62]-code) [i]
47Linear OA(9104, 132, F9, 61) (dual of [132, 28, 62]-code) [i]
48Linear OA(9103, 129, F9, 61) (dual of [129, 26, 62]-code) [i]
49Linear OA(9102, 126, F9, 61) (dual of [126, 24, 62]-code) [i]
50Linear OA(9101, 123, F9, 61) (dual of [123, 22, 62]-code) [i]
51Linear OA(9100, 120, F9, 61) (dual of [120, 20, 62]-code) [i]
52Linear OA(999, 117, F9, 61) (dual of [117, 18, 62]-code) [i]
53Linear OA(998, 114, F9, 61) (dual of [114, 16, 62]-code) [i]
54Linear OA(997, 111, F9, 61) (dual of [111, 14, 62]-code) [i]
55Linear OA(996, 108, F9, 61) (dual of [108, 12, 62]-code) [i]
56Linear OA(9150, 180, F9, 92) (dual of [180, 30, 93]-code) [i]
57Linear OA(9148, 176, F9, 92) (dual of [176, 28, 93]-code) [i]
58Linear OA(9146, 172, F9, 92) (dual of [172, 26, 93]-code) [i]
59Linear OA(9144, 168, F9, 92) (dual of [168, 24, 93]-code) [i]
60Linear OA(9142, 164, F9, 92) (dual of [164, 22, 93]-code) [i]
61Linear OA(9140, 160, F9, 92) (dual of [160, 20, 93]-code) [i]
62Linear OA(9138, 156, F9, 92) (dual of [156, 18, 93]-code) [i]
63Linear OA(9136, 152, F9, 92) (dual of [152, 16, 93]-code) [i]
64Linear OA(9134, 148, F9, 92) (dual of [148, 14, 93]-code) [i]
65Linear OA(9132, 144, F9, 92) (dual of [144, 12, 93]-code) [i]
66Linear OA(9130, 140, F9, 92) (dual of [140, 10, 93]-code) [i]
67Linear OOA(3250, 195, F3, 2, 92) (dual of [(195, 2), 140, 93]-NRT-code) [i]Concatenation of Two NRT-Codes
68Linear OOA(3248, 192, F3, 2, 92) (dual of [(192, 2), 136, 93]-NRT-code) [i]
69Linear OOA(3246, 189, F3, 2, 92) (dual of [(189, 2), 132, 93]-NRT-code) [i]
70Linear OOA(3244, 186, F3, 2, 92) (dual of [(186, 2), 128, 93]-NRT-code) [i]
71Linear OOA(3242, 183, F3, 2, 92) (dual of [(183, 2), 124, 93]-NRT-code) [i]
72Linear OOA(3240, 180, F3, 2, 92) (dual of [(180, 2), 120, 93]-NRT-code) [i]
73Linear OOA(3238, 177, F3, 2, 92) (dual of [(177, 2), 116, 93]-NRT-code) [i]
74Linear OOA(3236, 174, F3, 2, 92) (dual of [(174, 2), 112, 93]-NRT-code) [i]
75Linear OOA(3234, 171, F3, 2, 92) (dual of [(171, 2), 108, 93]-NRT-code) [i]
76Linear OOA(3232, 168, F3, 2, 92) (dual of [(168, 2), 104, 93]-NRT-code) [i]
77Linear OOA(3230, 165, F3, 2, 92) (dual of [(165, 2), 100, 93]-NRT-code) [i]
78Linear OOA(3228, 162, F3, 2, 92) (dual of [(162, 2), 96, 93]-NRT-code) [i]
79Linear OOA(3226, 159, F3, 2, 92) (dual of [(159, 2), 92, 93]-NRT-code) [i]
80Linear OOA(3224, 156, F3, 2, 92) (dual of [(156, 2), 88, 93]-NRT-code) [i]
81Linear OOA(3222, 153, F3, 2, 92) (dual of [(153, 2), 84, 93]-NRT-code) [i]
82Linear OOA(3220, 150, F3, 2, 92) (dual of [(150, 2), 80, 93]-NRT-code) [i]
83Linear OOA(3216, 144, F3, 2, 92) (dual of [(144, 2), 72, 93]-NRT-code) [i]
84Linear OOA(3214, 141, F3, 2, 92) (dual of [(141, 2), 68, 93]-NRT-code) [i]
85Linear OOA(3212, 138, F3, 2, 92) (dual of [(138, 2), 64, 93]-NRT-code) [i]