Information on Result #606587

Linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using Reed–Solomon code RS(59,81)

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(3169, 405, F3, 45) (dual of [405, 236, 46]-code) [i]Concatenation of Two Codes
2Linear OA(3168, 400, F3, 45) (dual of [400, 232, 46]-code) [i]
3Linear OA(3167, 395, F3, 45) (dual of [395, 228, 46]-code) [i]
4Linear OA(3166, 390, F3, 45) (dual of [390, 224, 46]-code) [i]
5Linear OA(3165, 385, F3, 45) (dual of [385, 220, 46]-code) [i]
6Linear OA(3164, 380, F3, 45) (dual of [380, 216, 46]-code) [i]
7Linear OA(3163, 375, F3, 45) (dual of [375, 212, 46]-code) [i]
8Linear OA(3155, 335, F3, 45) (dual of [335, 180, 46]-code) [i]
9Linear OA(3154, 330, F3, 45) (dual of [330, 176, 46]-code) [i]
10Linear OA(3153, 325, F3, 45) (dual of [325, 172, 46]-code) [i]
11Linear OA(3152, 320, F3, 45) (dual of [320, 168, 46]-code) [i]
12Linear OA(3151, 315, F3, 45) (dual of [315, 164, 46]-code) [i]
13Linear OA(3150, 310, F3, 45) (dual of [310, 160, 46]-code) [i]
14Linear OA(3149, 305, F3, 45) (dual of [305, 156, 46]-code) [i]
15Linear OA(3148, 300, F3, 45) (dual of [300, 152, 46]-code) [i]
16Linear OA(3147, 295, F3, 45) (dual of [295, 148, 46]-code) [i]
17Linear OA(3146, 290, F3, 45) (dual of [290, 144, 46]-code) [i]
18Linear OA(3145, 285, F3, 45) (dual of [285, 140, 46]-code) [i]
19Linear OA(3144, 280, F3, 45) (dual of [280, 136, 46]-code) [i]
20Linear OA(3143, 275, F3, 45) (dual of [275, 132, 46]-code) [i]
21Linear OA(3142, 270, F3, 45) (dual of [270, 128, 46]-code) [i]
22Linear OA(3141, 265, F3, 45) (dual of [265, 124, 46]-code) [i]
23Linear OA(3140, 260, F3, 45) (dual of [260, 120, 46]-code) [i]
24Linear OA(3139, 255, F3, 45) (dual of [255, 116, 46]-code) [i]
25Linear OA(3138, 250, F3, 45) (dual of [250, 112, 46]-code) [i]
26Linear OA(3137, 245, F3, 45) (dual of [245, 108, 46]-code) [i]
27Linear OA(3133, 225, F3, 45) (dual of [225, 92, 46]-code) [i]
28Linear OA(3132, 220, F3, 45) (dual of [220, 88, 46]-code) [i]
29Linear OA(3131, 215, F3, 45) (dual of [215, 84, 46]-code) [i]
30Linear OA(3248, 288, F3, 114) (dual of [288, 40, 115]-code) [i]
31Linear OA(3243, 279, F3, 114) (dual of [279, 36, 115]-code) [i]
32Linear OA(989, 135, F9, 45) (dual of [135, 46, 46]-code) [i]
33Linear OA(988, 132, F9, 45) (dual of [132, 44, 46]-code) [i]
34Linear OA(987, 129, F9, 45) (dual of [129, 42, 46]-code) [i]
35Linear OA(986, 126, F9, 45) (dual of [126, 40, 46]-code) [i]
36Linear OA(985, 123, F9, 45) (dual of [123, 38, 46]-code) [i]
37Linear OA(984, 120, F9, 45) (dual of [120, 36, 46]-code) [i]
38Linear OA(983, 117, F9, 45) (dual of [117, 34, 46]-code) [i]
39Linear OA(982, 114, F9, 45) (dual of [114, 32, 46]-code) [i]
40Linear OA(981, 111, F9, 45) (dual of [111, 30, 46]-code) [i]
41Linear OA(980, 108, F9, 45) (dual of [108, 28, 46]-code) [i]
42Linear OA(979, 105, F9, 45) (dual of [105, 26, 46]-code) [i]
43Linear OA(978, 102, F9, 45) (dual of [102, 24, 46]-code) [i]
44Linear OA(977, 99, F9, 45) (dual of [99, 22, 46]-code) [i]
45Linear OA(976, 96, F9, 45) (dual of [96, 20, 46]-code) [i]
46Linear OA(9112, 136, F9, 68) (dual of [136, 24, 69]-code) [i]
47Linear OA(9110, 132, F9, 68) (dual of [132, 22, 69]-code) [i]
48Linear OA(9108, 128, F9, 68) (dual of [128, 20, 69]-code) [i]
49Linear OA(9106, 124, F9, 68) (dual of [124, 18, 69]-code) [i]
50Linear OA(9104, 120, F9, 68) (dual of [120, 16, 69]-code) [i]
51Linear OA(9102, 116, F9, 68) (dual of [116, 14, 69]-code) [i]
52Linear OA(9100, 112, F9, 68) (dual of [112, 12, 69]-code) [i]
53Linear OA(998, 108, F9, 68) (dual of [108, 10, 69]-code) [i]
54Linear OA(9134, 150, F9, 91) (dual of [150, 16, 92]-code) [i]
55Linear OA(9131, 145, F9, 91) (dual of [145, 14, 92]-code) [i]
56Linear OA(9128, 140, F9, 91) (dual of [140, 12, 92]-code) [i]
57Linear OA(9125, 135, F9, 91) (dual of [135, 10, 92]-code) [i]
58Linear OA(9119, 125, F9, 91) (dual of [125, 6, 92]-code) [i]
59Linear OOA(3204, 174, F3, 2, 68) (dual of [(174, 2), 144, 69]-NRT-code) [i]Concatenation of Two NRT-Codes
60Linear OOA(3202, 171, F3, 2, 68) (dual of [(171, 2), 140, 69]-NRT-code) [i]
61Linear OOA(3200, 168, F3, 2, 68) (dual of [(168, 2), 136, 69]-NRT-code) [i]
62Linear OOA(3160, 108, F3, 2, 68) (dual of [(108, 2), 56, 69]-NRT-code) [i]
63Linear OOA(3158, 105, F3, 2, 68) (dual of [(105, 2), 52, 69]-NRT-code) [i]
64Linear OOA(3248, 160, F3, 2, 114) (dual of [(160, 2), 72, 115]-NRT-code) [i]
65Linear OOA(3244, 156, F3, 2, 114) (dual of [(156, 2), 68, 115]-NRT-code) [i]
66Linear OOA(3240, 152, F3, 2, 114) (dual of [(152, 2), 64, 115]-NRT-code) [i]
67Linear OOA(3236, 148, F3, 2, 114) (dual of [(148, 2), 60, 115]-NRT-code) [i]
68Linear OOA(3232, 144, F3, 2, 114) (dual of [(144, 2), 56, 115]-NRT-code) [i]
69Linear OOA(3228, 140, F3, 2, 114) (dual of [(140, 2), 52, 115]-NRT-code) [i]
70Linear OOA(3224, 136, F3, 2, 114) (dual of [(136, 2), 48, 115]-NRT-code) [i]
71Linear OOA(3220, 132, F3, 2, 114) (dual of [(132, 2), 44, 115]-NRT-code) [i]
72Linear OOA(3216, 128, F3, 2, 114) (dual of [(128, 2), 40, 115]-NRT-code) [i]
73Linear OOA(3212, 124, F3, 2, 114) (dual of [(124, 2), 36, 115]-NRT-code) [i]
74Linear OOA(3248, 96, F3, 3, 137) (dual of [(96, 3), 40, 138]-NRT-code) [i]
75Linear OOA(3243, 93, F3, 3, 137) (dual of [(93, 3), 36, 138]-NRT-code) [i]
76Linear OOA(3238, 90, F3, 3, 137) (dual of [(90, 3), 32, 138]-NRT-code) [i]
77Linear OOA(3233, 87, F3, 3, 137) (dual of [(87, 3), 28, 138]-NRT-code) [i]