Information on Result #606593

Linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using Reed–Solomon code RS(53,81)

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(3193, 405, F3, 57) (dual of [405, 212, 58]-code) [i]Concatenation of Two Codes
2Linear OA(3192, 400, F3, 57) (dual of [400, 208, 58]-code) [i]
3Linear OA(3191, 395, F3, 57) (dual of [395, 204, 58]-code) [i]
4Linear OA(3190, 390, F3, 57) (dual of [390, 200, 58]-code) [i]
5Linear OA(3189, 385, F3, 57) (dual of [385, 196, 58]-code) [i]
6Linear OA(3188, 380, F3, 57) (dual of [380, 192, 58]-code) [i]
7Linear OA(3187, 375, F3, 57) (dual of [375, 188, 58]-code) [i]
8Linear OA(3186, 370, F3, 57) (dual of [370, 184, 58]-code) [i]
9Linear OA(3185, 365, F3, 57) (dual of [365, 180, 58]-code) [i]
10Linear OA(3184, 360, F3, 57) (dual of [360, 176, 58]-code) [i]
11Linear OA(3183, 355, F3, 57) (dual of [355, 172, 58]-code) [i]
12Linear OA(3182, 350, F3, 57) (dual of [350, 168, 58]-code) [i]
13Linear OA(3181, 345, F3, 57) (dual of [345, 164, 58]-code) [i]
14Linear OA(3180, 340, F3, 57) (dual of [340, 160, 58]-code) [i]
15Linear OA(3179, 335, F3, 57) (dual of [335, 156, 58]-code) [i]
16Linear OA(3178, 330, F3, 57) (dual of [330, 152, 58]-code) [i]
17Linear OA(3177, 325, F3, 57) (dual of [325, 148, 58]-code) [i]
18Linear OA(3176, 320, F3, 57) (dual of [320, 144, 58]-code) [i]
19Linear OA(3175, 315, F3, 57) (dual of [315, 140, 58]-code) [i]
20Linear OA(3174, 310, F3, 57) (dual of [310, 136, 58]-code) [i]
21Linear OA(3173, 305, F3, 57) (dual of [305, 132, 58]-code) [i]
22Linear OA(3172, 300, F3, 57) (dual of [300, 128, 58]-code) [i]
23Linear OA(3171, 295, F3, 57) (dual of [295, 124, 58]-code) [i]
24Linear OA(3170, 290, F3, 57) (dual of [290, 120, 58]-code) [i]
25Linear OA(3169, 285, F3, 57) (dual of [285, 116, 58]-code) [i]
26Linear OA(3168, 280, F3, 57) (dual of [280, 112, 58]-code) [i]
27Linear OA(3167, 275, F3, 57) (dual of [275, 108, 58]-code) [i]
28Linear OA(3166, 270, F3, 57) (dual of [270, 104, 58]-code) [i]
29Linear OA(3165, 265, F3, 57) (dual of [265, 100, 58]-code) [i]
30Linear OA(9115, 177, F9, 57) (dual of [177, 62, 58]-code) [i]
31Linear OA(9114, 174, F9, 57) (dual of [174, 60, 58]-code) [i]
32Linear OA(9113, 171, F9, 57) (dual of [171, 58, 58]-code) [i]
33Linear OA(9112, 168, F9, 57) (dual of [168, 56, 58]-code) [i]
34Linear OA(9111, 165, F9, 57) (dual of [165, 54, 58]-code) [i]
35Linear OA(9110, 162, F9, 57) (dual of [162, 52, 58]-code) [i]
36Linear OA(9109, 159, F9, 57) (dual of [159, 50, 58]-code) [i]
37Linear OA(9108, 156, F9, 57) (dual of [156, 48, 58]-code) [i]
38Linear OA(9107, 153, F9, 57) (dual of [153, 46, 58]-code) [i]
39Linear OA(9106, 150, F9, 57) (dual of [150, 44, 58]-code) [i]
40Linear OA(9105, 147, F9, 57) (dual of [147, 42, 58]-code) [i]
41Linear OA(9104, 144, F9, 57) (dual of [144, 40, 58]-code) [i]
42Linear OA(9103, 141, F9, 57) (dual of [141, 38, 58]-code) [i]
43Linear OA(9102, 138, F9, 57) (dual of [138, 36, 58]-code) [i]
44Linear OA(9101, 135, F9, 57) (dual of [135, 34, 58]-code) [i]
45Linear OA(9100, 132, F9, 57) (dual of [132, 32, 58]-code) [i]
46Linear OA(999, 129, F9, 57) (dual of [129, 30, 58]-code) [i]
47Linear OA(998, 126, F9, 57) (dual of [126, 28, 58]-code) [i]
48Linear OA(997, 123, F9, 57) (dual of [123, 26, 58]-code) [i]
49Linear OA(996, 120, F9, 57) (dual of [120, 24, 58]-code) [i]
50Linear OA(995, 117, F9, 57) (dual of [117, 22, 58]-code) [i]
51Linear OA(994, 114, F9, 57) (dual of [114, 20, 58]-code) [i]
52Linear OA(993, 111, F9, 57) (dual of [111, 18, 58]-code) [i]
53Linear OA(9142, 172, F9, 86) (dual of [172, 30, 87]-code) [i]
54Linear OA(9140, 168, F9, 86) (dual of [168, 28, 87]-code) [i]
55Linear OA(9138, 164, F9, 86) (dual of [164, 26, 87]-code) [i]
56Linear OA(9136, 160, F9, 86) (dual of [160, 24, 87]-code) [i]
57Linear OA(9134, 156, F9, 86) (dual of [156, 22, 87]-code) [i]
58Linear OA(9132, 152, F9, 86) (dual of [152, 20, 87]-code) [i]
59Linear OA(9130, 148, F9, 86) (dual of [148, 18, 87]-code) [i]
60Linear OA(9128, 144, F9, 86) (dual of [144, 16, 87]-code) [i]
61Linear OA(9126, 140, F9, 86) (dual of [140, 14, 87]-code) [i]
62Linear OA(9124, 136, F9, 86) (dual of [136, 12, 87]-code) [i]
63Linear OA(9122, 132, F9, 86) (dual of [132, 10, 87]-code) [i]
64Linear OOA(3250, 207, F3, 2, 86) (dual of [(207, 2), 164, 87]-NRT-code) [i]Concatenation of Two NRT-Codes
65Linear OOA(3248, 204, F3, 2, 86) (dual of [(204, 2), 160, 87]-NRT-code) [i]
66Linear OOA(3246, 201, F3, 2, 86) (dual of [(201, 2), 156, 87]-NRT-code) [i]
67Linear OOA(3244, 198, F3, 2, 86) (dual of [(198, 2), 152, 87]-NRT-code) [i]
68Linear OOA(3242, 195, F3, 2, 86) (dual of [(195, 2), 148, 87]-NRT-code) [i]
69Linear OOA(3240, 192, F3, 2, 86) (dual of [(192, 2), 144, 87]-NRT-code) [i]
70Linear OOA(3238, 189, F3, 2, 86) (dual of [(189, 2), 140, 87]-NRT-code) [i]
71Linear OOA(3236, 186, F3, 2, 86) (dual of [(186, 2), 136, 87]-NRT-code) [i]
72Linear OOA(3234, 183, F3, 2, 86) (dual of [(183, 2), 132, 87]-NRT-code) [i]
73Linear OOA(3232, 180, F3, 2, 86) (dual of [(180, 2), 128, 87]-NRT-code) [i]
74Linear OOA(3230, 177, F3, 2, 86) (dual of [(177, 2), 124, 87]-NRT-code) [i]
75Linear OOA(3228, 174, F3, 2, 86) (dual of [(174, 2), 120, 87]-NRT-code) [i]
76Linear OOA(3226, 171, F3, 2, 86) (dual of [(171, 2), 116, 87]-NRT-code) [i]
77Linear OOA(3224, 168, F3, 2, 86) (dual of [(168, 2), 112, 87]-NRT-code) [i]
78Linear OOA(3222, 165, F3, 2, 86) (dual of [(165, 2), 108, 87]-NRT-code) [i]
79Linear OOA(3220, 162, F3, 2, 86) (dual of [(162, 2), 104, 87]-NRT-code) [i]
80Linear OOA(3218, 159, F3, 2, 86) (dual of [(159, 2), 100, 87]-NRT-code) [i]
81Linear OOA(3214, 153, F3, 2, 86) (dual of [(153, 2), 92, 87]-NRT-code) [i]
82Linear OOA(3204, 138, F3, 2, 86) (dual of [(138, 2), 72, 87]-NRT-code) [i]
83Linear OOA(3202, 135, F3, 2, 86) (dual of [(135, 2), 68, 87]-NRT-code) [i]
84Linear OOA(3200, 132, F3, 2, 86) (dual of [(132, 2), 64, 87]-NRT-code) [i]