Information on Result #606592

Linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using Reed–Solomon code RS(54,81)

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(3189, 405, F3, 55) (dual of [405, 216, 56]-code) [i]Concatenation of Two Codes
2Linear OA(3188, 400, F3, 55) (dual of [400, 212, 56]-code) [i]
3Linear OA(3187, 395, F3, 55) (dual of [395, 208, 56]-code) [i]
4Linear OA(3186, 390, F3, 55) (dual of [390, 204, 56]-code) [i]
5Linear OA(3185, 385, F3, 55) (dual of [385, 200, 56]-code) [i]
6Linear OA(3184, 380, F3, 55) (dual of [380, 196, 56]-code) [i]
7Linear OA(3183, 375, F3, 55) (dual of [375, 192, 56]-code) [i]
8Linear OA(3182, 370, F3, 55) (dual of [370, 188, 56]-code) [i]
9Linear OA(3181, 365, F3, 55) (dual of [365, 184, 56]-code) [i]
10Linear OA(3180, 360, F3, 55) (dual of [360, 180, 56]-code) [i]
11Linear OA(3179, 355, F3, 55) (dual of [355, 176, 56]-code) [i]
12Linear OA(3178, 350, F3, 55) (dual of [350, 172, 56]-code) [i]
13Linear OA(3177, 345, F3, 55) (dual of [345, 168, 56]-code) [i]
14Linear OA(3176, 340, F3, 55) (dual of [340, 164, 56]-code) [i]
15Linear OA(3175, 335, F3, 55) (dual of [335, 160, 56]-code) [i]
16Linear OA(3174, 330, F3, 55) (dual of [330, 156, 56]-code) [i]
17Linear OA(3173, 325, F3, 55) (dual of [325, 152, 56]-code) [i]
18Linear OA(3172, 320, F3, 55) (dual of [320, 148, 56]-code) [i]
19Linear OA(3171, 315, F3, 55) (dual of [315, 144, 56]-code) [i]
20Linear OA(3170, 310, F3, 55) (dual of [310, 140, 56]-code) [i]
21Linear OA(3169, 305, F3, 55) (dual of [305, 136, 56]-code) [i]
22Linear OA(3168, 300, F3, 55) (dual of [300, 132, 56]-code) [i]
23Linear OA(3167, 295, F3, 55) (dual of [295, 128, 56]-code) [i]
24Linear OA(3166, 290, F3, 55) (dual of [290, 124, 56]-code) [i]
25Linear OA(3165, 285, F3, 55) (dual of [285, 120, 56]-code) [i]
26Linear OA(3164, 280, F3, 55) (dual of [280, 116, 56]-code) [i]
27Linear OA(3163, 275, F3, 55) (dual of [275, 112, 56]-code) [i]
28Linear OA(3162, 270, F3, 55) (dual of [270, 108, 56]-code) [i]
29Linear OA(3161, 265, F3, 55) (dual of [265, 104, 56]-code) [i]
30Linear OA(3160, 260, F3, 55) (dual of [260, 100, 56]-code) [i]
31Linear OA(9111, 171, F9, 55) (dual of [171, 60, 56]-code) [i]
32Linear OA(9110, 168, F9, 55) (dual of [168, 58, 56]-code) [i]
33Linear OA(9109, 165, F9, 55) (dual of [165, 56, 56]-code) [i]
34Linear OA(9108, 162, F9, 55) (dual of [162, 54, 56]-code) [i]
35Linear OA(9107, 159, F9, 55) (dual of [159, 52, 56]-code) [i]
36Linear OA(9106, 156, F9, 55) (dual of [156, 50, 56]-code) [i]
37Linear OA(9105, 153, F9, 55) (dual of [153, 48, 56]-code) [i]
38Linear OA(9104, 150, F9, 55) (dual of [150, 46, 56]-code) [i]
39Linear OA(9103, 147, F9, 55) (dual of [147, 44, 56]-code) [i]
40Linear OA(9102, 144, F9, 55) (dual of [144, 42, 56]-code) [i]
41Linear OA(9101, 141, F9, 55) (dual of [141, 40, 56]-code) [i]
42Linear OA(9100, 138, F9, 55) (dual of [138, 38, 56]-code) [i]
43Linear OA(999, 135, F9, 55) (dual of [135, 36, 56]-code) [i]
44Linear OA(998, 132, F9, 55) (dual of [132, 34, 56]-code) [i]
45Linear OA(997, 129, F9, 55) (dual of [129, 32, 56]-code) [i]
46Linear OA(996, 126, F9, 55) (dual of [126, 30, 56]-code) [i]
47Linear OA(995, 123, F9, 55) (dual of [123, 28, 56]-code) [i]
48Linear OA(994, 120, F9, 55) (dual of [120, 26, 56]-code) [i]
49Linear OA(993, 117, F9, 55) (dual of [117, 24, 56]-code) [i]
50Linear OA(992, 114, F9, 55) (dual of [114, 22, 56]-code) [i]
51Linear OA(991, 111, F9, 55) (dual of [111, 20, 56]-code) [i]
52Linear OA(990, 108, F9, 55) (dual of [108, 18, 56]-code) [i]
53Linear OA(9136, 164, F9, 83) (dual of [164, 28, 84]-code) [i]
54Linear OA(9134, 160, F9, 83) (dual of [160, 26, 84]-code) [i]
55Linear OA(9132, 156, F9, 83) (dual of [156, 24, 84]-code) [i]
56Linear OA(9130, 152, F9, 83) (dual of [152, 22, 84]-code) [i]
57Linear OA(9128, 148, F9, 83) (dual of [148, 20, 84]-code) [i]
58Linear OA(9126, 144, F9, 83) (dual of [144, 18, 84]-code) [i]
59Linear OA(9124, 140, F9, 83) (dual of [140, 16, 84]-code) [i]
60Linear OA(9122, 136, F9, 83) (dual of [136, 14, 84]-code) [i]
61Linear OA(9120, 132, F9, 83) (dual of [132, 12, 84]-code) [i]
62Linear OA(9150, 160, F9, 111) (dual of [160, 10, 112]-code) [i]
63Linear OOA(3250, 213, F3, 2, 83) (dual of [(213, 2), 176, 84]-NRT-code) [i]Concatenation of Two NRT-Codes
64Linear OOA(3248, 210, F3, 2, 83) (dual of [(210, 2), 172, 84]-NRT-code) [i]
65Linear OOA(3246, 207, F3, 2, 83) (dual of [(207, 2), 168, 84]-NRT-code) [i]
66Linear OOA(3244, 204, F3, 2, 83) (dual of [(204, 2), 164, 84]-NRT-code) [i]
67Linear OOA(3242, 201, F3, 2, 83) (dual of [(201, 2), 160, 84]-NRT-code) [i]
68Linear OOA(3240, 198, F3, 2, 83) (dual of [(198, 2), 156, 84]-NRT-code) [i]
69Linear OOA(3238, 195, F3, 2, 83) (dual of [(195, 2), 152, 84]-NRT-code) [i]
70Linear OOA(3236, 192, F3, 2, 83) (dual of [(192, 2), 148, 84]-NRT-code) [i]
71Linear OOA(3234, 189, F3, 2, 83) (dual of [(189, 2), 144, 84]-NRT-code) [i]
72Linear OOA(3232, 186, F3, 2, 83) (dual of [(186, 2), 140, 84]-NRT-code) [i]
73Linear OOA(3230, 183, F3, 2, 83) (dual of [(183, 2), 136, 84]-NRT-code) [i]
74Linear OOA(3228, 180, F3, 2, 83) (dual of [(180, 2), 132, 84]-NRT-code) [i]
75Linear OOA(3226, 177, F3, 2, 83) (dual of [(177, 2), 128, 84]-NRT-code) [i]
76Linear OOA(3224, 174, F3, 2, 83) (dual of [(174, 2), 124, 84]-NRT-code) [i]
77Linear OOA(3222, 171, F3, 2, 83) (dual of [(171, 2), 120, 84]-NRT-code) [i]
78Linear OOA(3220, 168, F3, 2, 83) (dual of [(168, 2), 116, 84]-NRT-code) [i]
79Linear OOA(3218, 165, F3, 2, 83) (dual of [(165, 2), 112, 84]-NRT-code) [i]
80Linear OOA(3216, 162, F3, 2, 83) (dual of [(162, 2), 108, 84]-NRT-code) [i]
81Linear OOA(3214, 159, F3, 2, 83) (dual of [(159, 2), 104, 84]-NRT-code) [i]
82Linear OOA(3198, 135, F3, 2, 83) (dual of [(135, 2), 72, 84]-NRT-code) [i]
83Linear OOA(3196, 132, F3, 2, 83) (dual of [(132, 2), 68, 84]-NRT-code) [i]