Information on Result #606589

Linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using Reed–Solomon code RS(57,81)

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(3177, 405, F3, 49) (dual of [405, 228, 50]-code) [i]Concatenation of Two Codes
2Linear OA(3176, 400, F3, 49) (dual of [400, 224, 50]-code) [i]
3Linear OA(3175, 395, F3, 49) (dual of [395, 220, 50]-code) [i]
4Linear OA(3174, 390, F3, 49) (dual of [390, 216, 50]-code) [i]
5Linear OA(3173, 385, F3, 49) (dual of [385, 212, 50]-code) [i]
6Linear OA(3172, 380, F3, 49) (dual of [380, 208, 50]-code) [i]
7Linear OA(3171, 375, F3, 49) (dual of [375, 204, 50]-code) [i]
8Linear OA(3170, 370, F3, 49) (dual of [370, 200, 50]-code) [i]
9Linear OA(3167, 355, F3, 49) (dual of [355, 188, 50]-code) [i]
10Linear OA(3166, 350, F3, 49) (dual of [350, 184, 50]-code) [i]
11Linear OA(3165, 345, F3, 49) (dual of [345, 180, 50]-code) [i]
12Linear OA(3164, 340, F3, 49) (dual of [340, 176, 50]-code) [i]
13Linear OA(3163, 335, F3, 49) (dual of [335, 172, 50]-code) [i]
14Linear OA(3162, 330, F3, 49) (dual of [330, 168, 50]-code) [i]
15Linear OA(3161, 325, F3, 49) (dual of [325, 164, 50]-code) [i]
16Linear OA(3160, 320, F3, 49) (dual of [320, 160, 50]-code) [i]
17Linear OA(3159, 315, F3, 49) (dual of [315, 156, 50]-code) [i]
18Linear OA(3158, 310, F3, 49) (dual of [310, 152, 50]-code) [i]
19Linear OA(3157, 305, F3, 49) (dual of [305, 148, 50]-code) [i]
20Linear OA(3156, 300, F3, 49) (dual of [300, 144, 50]-code) [i]
21Linear OA(3155, 295, F3, 49) (dual of [295, 140, 50]-code) [i]
22Linear OA(3154, 290, F3, 49) (dual of [290, 136, 50]-code) [i]
23Linear OA(3153, 285, F3, 49) (dual of [285, 132, 50]-code) [i]
24Linear OA(3152, 280, F3, 49) (dual of [280, 128, 50]-code) [i]
25Linear OA(3151, 275, F3, 49) (dual of [275, 124, 50]-code) [i]
26Linear OA(3150, 270, F3, 49) (dual of [270, 120, 50]-code) [i]
27Linear OA(3149, 265, F3, 49) (dual of [265, 116, 50]-code) [i]
28Linear OA(3148, 260, F3, 49) (dual of [260, 112, 50]-code) [i]
29Linear OA(3147, 255, F3, 49) (dual of [255, 108, 50]-code) [i]
30Linear OA(3146, 250, F3, 49) (dual of [250, 104, 50]-code) [i]
31Linear OA(997, 147, F9, 49) (dual of [147, 50, 50]-code) [i]
32Linear OA(996, 144, F9, 49) (dual of [144, 48, 50]-code) [i]
33Linear OA(995, 141, F9, 49) (dual of [141, 46, 50]-code) [i]
34Linear OA(994, 138, F9, 49) (dual of [138, 44, 50]-code) [i]
35Linear OA(993, 135, F9, 49) (dual of [135, 42, 50]-code) [i]
36Linear OA(992, 132, F9, 49) (dual of [132, 40, 50]-code) [i]
37Linear OA(991, 129, F9, 49) (dual of [129, 38, 50]-code) [i]
38Linear OA(990, 126, F9, 49) (dual of [126, 36, 50]-code) [i]
39Linear OA(989, 123, F9, 49) (dual of [123, 34, 50]-code) [i]
40Linear OA(988, 120, F9, 49) (dual of [120, 32, 50]-code) [i]
41Linear OA(987, 117, F9, 49) (dual of [117, 30, 50]-code) [i]
42Linear OA(986, 114, F9, 49) (dual of [114, 28, 50]-code) [i]
43Linear OA(985, 111, F9, 49) (dual of [111, 26, 50]-code) [i]
44Linear OA(984, 108, F9, 49) (dual of [108, 24, 50]-code) [i]
45Linear OA(983, 105, F9, 49) (dual of [105, 22, 50]-code) [i]
46Linear OA(982, 102, F9, 49) (dual of [102, 20, 50]-code) [i]
47Linear OA(9122, 148, F9, 74) (dual of [148, 26, 75]-code) [i]
48Linear OA(9120, 144, F9, 74) (dual of [144, 24, 75]-code) [i]
49Linear OA(9118, 140, F9, 74) (dual of [140, 22, 75]-code) [i]
50Linear OA(9116, 136, F9, 74) (dual of [136, 20, 75]-code) [i]
51Linear OA(9114, 132, F9, 74) (dual of [132, 18, 75]-code) [i]
52Linear OA(9112, 128, F9, 74) (dual of [128, 16, 75]-code) [i]
53Linear OA(9110, 124, F9, 74) (dual of [124, 14, 75]-code) [i]
54Linear OA(9108, 120, F9, 74) (dual of [120, 12, 75]-code) [i]
55Linear OA(9106, 116, F9, 74) (dual of [116, 10, 75]-code) [i]
56Linear OA(9104, 112, F9, 74) (dual of [112, 8, 75]-code) [i]
57Linear OA(9150, 170, F9, 99) (dual of [170, 20, 100]-code) [i]
58Linear OA(9147, 165, F9, 99) (dual of [165, 18, 100]-code) [i]
59Linear OA(9141, 155, F9, 99) (dual of [155, 14, 100]-code) [i]
60Linear OA(9138, 150, F9, 99) (dual of [150, 12, 100]-code) [i]
61Linear OA(9135, 145, F9, 99) (dual of [145, 10, 100]-code) [i]
62Linear OOA(3222, 189, F3, 2, 74) (dual of [(189, 2), 156, 75]-NRT-code) [i]Concatenation of Two NRT-Codes
63Linear OOA(3220, 186, F3, 2, 74) (dual of [(186, 2), 152, 75]-NRT-code) [i]
64Linear OOA(3218, 183, F3, 2, 74) (dual of [(183, 2), 148, 75]-NRT-code) [i]
65Linear OOA(3216, 180, F3, 2, 74) (dual of [(180, 2), 144, 75]-NRT-code) [i]
66Linear OOA(3214, 177, F3, 2, 74) (dual of [(177, 2), 140, 75]-NRT-code) [i]
67Linear OOA(3212, 174, F3, 2, 74) (dual of [(174, 2), 136, 75]-NRT-code) [i]
68Linear OOA(3210, 171, F3, 2, 74) (dual of [(171, 2), 132, 75]-NRT-code) [i]
69Linear OOA(3208, 168, F3, 2, 74) (dual of [(168, 2), 128, 75]-NRT-code) [i]
70Linear OOA(3206, 165, F3, 2, 74) (dual of [(165, 2), 124, 75]-NRT-code) [i]
71Linear OOA(3248, 152, F3, 2, 124) (dual of [(152, 2), 56, 125]-NRT-code) [i]
72Linear OOA(3244, 148, F3, 2, 124) (dual of [(148, 2), 52, 125]-NRT-code) [i]
73Linear OOA(3240, 144, F3, 2, 124) (dual of [(144, 2), 48, 125]-NRT-code) [i]
74Linear OOA(3236, 140, F3, 2, 124) (dual of [(140, 2), 44, 125]-NRT-code) [i]
75Linear OOA(3232, 136, F3, 2, 124) (dual of [(136, 2), 40, 125]-NRT-code) [i]