Information on Result #606586

Linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using Reed–Solomon code RS(60,81)

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(3165, 405, F3, 43) (dual of [405, 240, 44]-code) [i]Concatenation of Two Codes
2Linear OA(3164, 400, F3, 43) (dual of [400, 236, 44]-code) [i]
3Linear OA(3163, 395, F3, 43) (dual of [395, 232, 44]-code) [i]
4Linear OA(3162, 390, F3, 43) (dual of [390, 228, 44]-code) [i]
5Linear OA(3161, 385, F3, 43) (dual of [385, 224, 44]-code) [i]
6Linear OA(3160, 380, F3, 43) (dual of [380, 220, 44]-code) [i]
7Linear OA(3159, 375, F3, 43) (dual of [375, 216, 44]-code) [i]
8Linear OA(3158, 370, F3, 43) (dual of [370, 212, 44]-code) [i]
9Linear OA(3153, 345, F3, 43) (dual of [345, 192, 44]-code) [i]
10Linear OA(3152, 340, F3, 43) (dual of [340, 188, 44]-code) [i]
11Linear OA(3151, 335, F3, 43) (dual of [335, 184, 44]-code) [i]
12Linear OA(3150, 330, F3, 43) (dual of [330, 180, 44]-code) [i]
13Linear OA(3149, 325, F3, 43) (dual of [325, 176, 44]-code) [i]
14Linear OA(3148, 320, F3, 43) (dual of [320, 172, 44]-code) [i]
15Linear OA(3147, 315, F3, 43) (dual of [315, 168, 44]-code) [i]
16Linear OA(3146, 310, F3, 43) (dual of [310, 164, 44]-code) [i]
17Linear OA(3145, 305, F3, 43) (dual of [305, 160, 44]-code) [i]
18Linear OA(3144, 300, F3, 43) (dual of [300, 156, 44]-code) [i]
19Linear OA(3143, 295, F3, 43) (dual of [295, 152, 44]-code) [i]
20Linear OA(3142, 290, F3, 43) (dual of [290, 148, 44]-code) [i]
21Linear OA(3141, 285, F3, 43) (dual of [285, 144, 44]-code) [i]
22Linear OA(3140, 280, F3, 43) (dual of [280, 140, 44]-code) [i]
23Linear OA(3139, 275, F3, 43) (dual of [275, 136, 44]-code) [i]
24Linear OA(3138, 270, F3, 43) (dual of [270, 132, 44]-code) [i]
25Linear OA(3137, 265, F3, 43) (dual of [265, 128, 44]-code) [i]
26Linear OA(3136, 260, F3, 43) (dual of [260, 124, 44]-code) [i]
27Linear OA(3135, 255, F3, 43) (dual of [255, 120, 44]-code) [i]
28Linear OA(3249, 297, F3, 109) (dual of [297, 48, 110]-code) [i]
29Linear OA(3244, 288, F3, 109) (dual of [288, 44, 110]-code) [i]
30Linear OA(3239, 279, F3, 109) (dual of [279, 40, 110]-code) [i]
31Linear OA(3234, 270, F3, 109) (dual of [270, 36, 110]-code) [i]
32Linear OA(985, 129, F9, 43) (dual of [129, 44, 44]-code) [i]
33Linear OA(984, 126, F9, 43) (dual of [126, 42, 44]-code) [i]
34Linear OA(983, 123, F9, 43) (dual of [123, 40, 44]-code) [i]
35Linear OA(982, 120, F9, 43) (dual of [120, 38, 44]-code) [i]
36Linear OA(981, 117, F9, 43) (dual of [117, 36, 44]-code) [i]
37Linear OA(980, 114, F9, 43) (dual of [114, 34, 44]-code) [i]
38Linear OA(979, 111, F9, 43) (dual of [111, 32, 44]-code) [i]
39Linear OA(978, 108, F9, 43) (dual of [108, 30, 44]-code) [i]
40Linear OA(977, 105, F9, 43) (dual of [105, 28, 44]-code) [i]
41Linear OA(976, 102, F9, 43) (dual of [102, 26, 44]-code) [i]
42Linear OA(975, 99, F9, 43) (dual of [99, 24, 44]-code) [i]
43Linear OA(974, 96, F9, 43) (dual of [96, 22, 44]-code) [i]
44Linear OA(9106, 128, F9, 65) (dual of [128, 22, 66]-code) [i]
45Linear OA(9104, 124, F9, 65) (dual of [124, 20, 66]-code) [i]
46Linear OA(9102, 120, F9, 65) (dual of [120, 18, 66]-code) [i]
47Linear OA(9100, 116, F9, 65) (dual of [116, 16, 66]-code) [i]
48Linear OA(998, 112, F9, 65) (dual of [112, 14, 66]-code) [i]
49Linear OA(996, 108, F9, 65) (dual of [108, 12, 66]-code) [i]
50Linear OA(994, 104, F9, 65) (dual of [104, 10, 66]-code) [i]
51Linear OA(9129, 145, F9, 87) (dual of [145, 16, 88]-code) [i]
52Linear OA(9126, 140, F9, 87) (dual of [140, 14, 88]-code) [i]
53Linear OA(9123, 135, F9, 87) (dual of [135, 12, 88]-code) [i]
54Linear OA(9120, 130, F9, 87) (dual of [130, 10, 88]-code) [i]
55Linear OA(9117, 125, F9, 87) (dual of [125, 8, 88]-code) [i]
56Linear OA(9114, 120, F9, 87) (dual of [120, 6, 88]-code) [i]
57Linear OA(9150, 162, F9, 109) (dual of [162, 12, 110]-code) [i]
58Linear OA(9146, 156, F9, 109) (dual of [156, 10, 110]-code) [i]
59Linear OOA(3154, 105, F3, 2, 65) (dual of [(105, 2), 56, 66]-NRT-code) [i]Concatenation of Two NRT-Codes
60Linear OOA(3152, 102, F3, 2, 65) (dual of [(102, 2), 52, 66]-NRT-code) [i]
61Linear OOA(3248, 164, F3, 2, 109) (dual of [(164, 2), 80, 110]-NRT-code) [i]
62Linear OOA(3244, 160, F3, 2, 109) (dual of [(160, 2), 76, 110]-NRT-code) [i]
63Linear OOA(3240, 156, F3, 2, 109) (dual of [(156, 2), 72, 110]-NRT-code) [i]
64Linear OOA(3236, 152, F3, 2, 109) (dual of [(152, 2), 68, 110]-NRT-code) [i]
65Linear OOA(3232, 148, F3, 2, 109) (dual of [(148, 2), 64, 110]-NRT-code) [i]
66Linear OOA(3228, 144, F3, 2, 109) (dual of [(144, 2), 60, 110]-NRT-code) [i]
67Linear OOA(3224, 140, F3, 2, 109) (dual of [(140, 2), 56, 110]-NRT-code) [i]
68Linear OOA(3220, 136, F3, 2, 109) (dual of [(136, 2), 52, 110]-NRT-code) [i]
69Linear OOA(3216, 132, F3, 2, 109) (dual of [(132, 2), 48, 110]-NRT-code) [i]
70Linear OOA(3212, 128, F3, 2, 109) (dual of [(128, 2), 44, 110]-NRT-code) [i]
71Linear OOA(3208, 124, F3, 2, 109) (dual of [(124, 2), 40, 110]-NRT-code) [i]
72Linear OOA(3204, 120, F3, 2, 109) (dual of [(120, 2), 36, 110]-NRT-code) [i]
73Linear OOA(3249, 99, F3, 3, 131) (dual of [(99, 3), 48, 132]-NRT-code) [i]
74Linear OOA(3244, 96, F3, 3, 131) (dual of [(96, 3), 44, 132]-NRT-code) [i]
75Linear OOA(3239, 93, F3, 3, 131) (dual of [(93, 3), 40, 132]-NRT-code) [i]
76Linear OOA(3234, 90, F3, 3, 131) (dual of [(90, 3), 36, 132]-NRT-code) [i]
77Linear OOA(3229, 87, F3, 3, 131) (dual of [(87, 3), 32, 132]-NRT-code) [i]