Information on Result #606591

Linear OA(8126, 81, F81, 26) (dual of [81, 55, 27]-code or 81-arc in PG(25,81)), using Reed–Solomon code RS(55,81)

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(3185, 405, F3, 53) (dual of [405, 220, 54]-code) [i]Concatenation of Two Codes
2Linear OA(3184, 400, F3, 53) (dual of [400, 216, 54]-code) [i]
3Linear OA(3183, 395, F3, 53) (dual of [395, 212, 54]-code) [i]
4Linear OA(3182, 390, F3, 53) (dual of [390, 208, 54]-code) [i]
5Linear OA(3181, 385, F3, 53) (dual of [385, 204, 54]-code) [i]
6Linear OA(3180, 380, F3, 53) (dual of [380, 200, 54]-code) [i]
7Linear OA(3179, 375, F3, 53) (dual of [375, 196, 54]-code) [i]
8Linear OA(3178, 370, F3, 53) (dual of [370, 192, 54]-code) [i]
9Linear OA(3177, 365, F3, 53) (dual of [365, 188, 54]-code) [i]
10Linear OA(3176, 360, F3, 53) (dual of [360, 184, 54]-code) [i]
11Linear OA(3175, 355, F3, 53) (dual of [355, 180, 54]-code) [i]
12Linear OA(3174, 350, F3, 53) (dual of [350, 176, 54]-code) [i]
13Linear OA(3173, 345, F3, 53) (dual of [345, 172, 54]-code) [i]
14Linear OA(3172, 340, F3, 53) (dual of [340, 168, 54]-code) [i]
15Linear OA(3171, 335, F3, 53) (dual of [335, 164, 54]-code) [i]
16Linear OA(3170, 330, F3, 53) (dual of [330, 160, 54]-code) [i]
17Linear OA(3169, 325, F3, 53) (dual of [325, 156, 54]-code) [i]
18Linear OA(3168, 320, F3, 53) (dual of [320, 152, 54]-code) [i]
19Linear OA(3167, 315, F3, 53) (dual of [315, 148, 54]-code) [i]
20Linear OA(3166, 310, F3, 53) (dual of [310, 144, 54]-code) [i]
21Linear OA(3165, 305, F3, 53) (dual of [305, 140, 54]-code) [i]
22Linear OA(3164, 300, F3, 53) (dual of [300, 136, 54]-code) [i]
23Linear OA(3163, 295, F3, 53) (dual of [295, 132, 54]-code) [i]
24Linear OA(3162, 290, F3, 53) (dual of [290, 128, 54]-code) [i]
25Linear OA(3161, 285, F3, 53) (dual of [285, 124, 54]-code) [i]
26Linear OA(3160, 280, F3, 53) (dual of [280, 120, 54]-code) [i]
27Linear OA(3159, 275, F3, 53) (dual of [275, 116, 54]-code) [i]
28Linear OA(3158, 270, F3, 53) (dual of [270, 112, 54]-code) [i]
29Linear OA(3157, 265, F3, 53) (dual of [265, 108, 54]-code) [i]
30Linear OA(3156, 260, F3, 53) (dual of [260, 104, 54]-code) [i]
31Linear OA(9105, 159, F9, 53) (dual of [159, 54, 54]-code) [i]
32Linear OA(9104, 156, F9, 53) (dual of [156, 52, 54]-code) [i]
33Linear OA(9103, 153, F9, 53) (dual of [153, 50, 54]-code) [i]
34Linear OA(9102, 150, F9, 53) (dual of [150, 48, 54]-code) [i]
35Linear OA(9101, 147, F9, 53) (dual of [147, 46, 54]-code) [i]
36Linear OA(9100, 144, F9, 53) (dual of [144, 44, 54]-code) [i]
37Linear OA(999, 141, F9, 53) (dual of [141, 42, 54]-code) [i]
38Linear OA(998, 138, F9, 53) (dual of [138, 40, 54]-code) [i]
39Linear OA(997, 135, F9, 53) (dual of [135, 38, 54]-code) [i]
40Linear OA(996, 132, F9, 53) (dual of [132, 36, 54]-code) [i]
41Linear OA(995, 129, F9, 53) (dual of [129, 34, 54]-code) [i]
42Linear OA(994, 126, F9, 53) (dual of [126, 32, 54]-code) [i]
43Linear OA(993, 123, F9, 53) (dual of [123, 30, 54]-code) [i]
44Linear OA(992, 120, F9, 53) (dual of [120, 28, 54]-code) [i]
45Linear OA(991, 117, F9, 53) (dual of [117, 26, 54]-code) [i]
46Linear OA(990, 114, F9, 53) (dual of [114, 24, 54]-code) [i]
47Linear OA(989, 111, F9, 53) (dual of [111, 22, 54]-code) [i]
48Linear OA(988, 108, F9, 53) (dual of [108, 20, 54]-code) [i]
49Linear OA(987, 105, F9, 53) (dual of [105, 18, 54]-code) [i]
50Linear OA(986, 102, F9, 53) (dual of [102, 16, 54]-code) [i]
51Linear OA(9132, 160, F9, 80) (dual of [160, 28, 81]-code) [i]
52Linear OA(9130, 156, F9, 80) (dual of [156, 26, 81]-code) [i]
53Linear OA(9128, 152, F9, 80) (dual of [152, 24, 81]-code) [i]
54Linear OA(9126, 148, F9, 80) (dual of [148, 22, 81]-code) [i]
55Linear OA(9124, 144, F9, 80) (dual of [144, 20, 81]-code) [i]
56Linear OA(9122, 140, F9, 80) (dual of [140, 18, 81]-code) [i]
57Linear OA(9120, 136, F9, 80) (dual of [136, 16, 81]-code) [i]
58Linear OA(9118, 132, F9, 80) (dual of [132, 14, 81]-code) [i]
59Linear OA(9116, 128, F9, 80) (dual of [128, 12, 81]-code) [i]
60Linear OA(9114, 124, F9, 80) (dual of [124, 10, 81]-code) [i]
61Linear OA(9148, 160, F9, 107) (dual of [160, 12, 108]-code) [i]
62Linear OA(9145, 155, F9, 107) (dual of [155, 10, 108]-code) [i]
63Linear OOA(3250, 219, F3, 2, 80) (dual of [(219, 2), 188, 81]-NRT-code) [i]Concatenation of Two NRT-Codes
64Linear OOA(3248, 216, F3, 2, 80) (dual of [(216, 2), 184, 81]-NRT-code) [i]
65Linear OOA(3246, 213, F3, 2, 80) (dual of [(213, 2), 180, 81]-NRT-code) [i]
66Linear OOA(3244, 210, F3, 2, 80) (dual of [(210, 2), 176, 81]-NRT-code) [i]
67Linear OOA(3242, 207, F3, 2, 80) (dual of [(207, 2), 172, 81]-NRT-code) [i]
68Linear OOA(3240, 204, F3, 2, 80) (dual of [(204, 2), 168, 81]-NRT-code) [i]
69Linear OOA(3238, 201, F3, 2, 80) (dual of [(201, 2), 164, 81]-NRT-code) [i]
70Linear OOA(3236, 198, F3, 2, 80) (dual of [(198, 2), 160, 81]-NRT-code) [i]
71Linear OOA(3234, 195, F3, 2, 80) (dual of [(195, 2), 156, 81]-NRT-code) [i]
72Linear OOA(3232, 192, F3, 2, 80) (dual of [(192, 2), 152, 81]-NRT-code) [i]
73Linear OOA(3230, 189, F3, 2, 80) (dual of [(189, 2), 148, 81]-NRT-code) [i]
74Linear OOA(3228, 186, F3, 2, 80) (dual of [(186, 2), 144, 81]-NRT-code) [i]
75Linear OOA(3226, 183, F3, 2, 80) (dual of [(183, 2), 140, 81]-NRT-code) [i]
76Linear OOA(3224, 180, F3, 2, 80) (dual of [(180, 2), 136, 81]-NRT-code) [i]
77Linear OOA(3222, 177, F3, 2, 80) (dual of [(177, 2), 132, 81]-NRT-code) [i]
78Linear OOA(3220, 174, F3, 2, 80) (dual of [(174, 2), 128, 81]-NRT-code) [i]
79Linear OOA(3218, 171, F3, 2, 80) (dual of [(171, 2), 124, 81]-NRT-code) [i]
80Linear OOA(3216, 168, F3, 2, 80) (dual of [(168, 2), 120, 81]-NRT-code) [i]
81Linear OOA(3214, 165, F3, 2, 80) (dual of [(165, 2), 116, 81]-NRT-code) [i]
82Linear OOA(3212, 162, F3, 2, 80) (dual of [(162, 2), 112, 81]-NRT-code) [i]
83Linear OOA(3192, 132, F3, 2, 80) (dual of [(132, 2), 72, 81]-NRT-code) [i]
84Linear OOA(3184, 120, F3, 2, 80) (dual of [(120, 2), 56, 81]-NRT-code) [i]
85Linear OOA(3182, 117, F3, 2, 80) (dual of [(117, 2), 52, 81]-NRT-code) [i]
86Linear OOA(3248, 144, F3, 2, 134) (dual of [(144, 2), 40, 135]-NRT-code) [i]