Information on Result #606585

Linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using Reed–Solomon code RS(61,81)

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(3159, 395, F3, 41) (dual of [395, 236, 42]-code) [i]Concatenation of Two Codes
2Linear OA(3158, 390, F3, 41) (dual of [390, 232, 42]-code) [i]
3Linear OA(3157, 385, F3, 41) (dual of [385, 228, 42]-code) [i]
4Linear OA(3156, 380, F3, 41) (dual of [380, 224, 42]-code) [i]
5Linear OA(3155, 375, F3, 41) (dual of [375, 220, 42]-code) [i]
6Linear OA(3154, 370, F3, 41) (dual of [370, 216, 42]-code) [i]
7Linear OA(3150, 350, F3, 41) (dual of [350, 200, 42]-code) [i]
8Linear OA(3149, 345, F3, 41) (dual of [345, 196, 42]-code) [i]
9Linear OA(3148, 340, F3, 41) (dual of [340, 192, 42]-code) [i]
10Linear OA(3147, 335, F3, 41) (dual of [335, 188, 42]-code) [i]
11Linear OA(3146, 330, F3, 41) (dual of [330, 184, 42]-code) [i]
12Linear OA(3145, 325, F3, 41) (dual of [325, 180, 42]-code) [i]
13Linear OA(3144, 320, F3, 41) (dual of [320, 176, 42]-code) [i]
14Linear OA(3143, 315, F3, 41) (dual of [315, 172, 42]-code) [i]
15Linear OA(3142, 310, F3, 41) (dual of [310, 168, 42]-code) [i]
16Linear OA(3141, 305, F3, 41) (dual of [305, 164, 42]-code) [i]
17Linear OA(3140, 300, F3, 41) (dual of [300, 160, 42]-code) [i]
18Linear OA(3139, 295, F3, 41) (dual of [295, 156, 42]-code) [i]
19Linear OA(3138, 290, F3, 41) (dual of [290, 152, 42]-code) [i]
20Linear OA(3137, 285, F3, 41) (dual of [285, 148, 42]-code) [i]
21Linear OA(3136, 280, F3, 41) (dual of [280, 144, 42]-code) [i]
22Linear OA(3135, 275, F3, 41) (dual of [275, 140, 42]-code) [i]
23Linear OA(3134, 270, F3, 41) (dual of [270, 136, 42]-code) [i]
24Linear OA(3133, 265, F3, 41) (dual of [265, 132, 42]-code) [i]
25Linear OA(3132, 260, F3, 41) (dual of [260, 128, 42]-code) [i]
26Linear OA(3131, 255, F3, 41) (dual of [255, 124, 42]-code) [i]
27Linear OA(3250, 306, F3, 104) (dual of [306, 56, 105]-code) [i]
28Linear OA(3245, 297, F3, 104) (dual of [297, 52, 105]-code) [i]
29Linear OA(3240, 288, F3, 104) (dual of [288, 48, 105]-code) [i]
30Linear OA(3235, 279, F3, 104) (dual of [279, 44, 105]-code) [i]
31Linear OA(3230, 270, F3, 104) (dual of [270, 40, 105]-code) [i]
32Linear OA(3225, 261, F3, 104) (dual of [261, 36, 105]-code) [i]
33Linear OA(3248, 280, F3, 125) (dual of [280, 32, 126]-code) [i]
34Linear OA(3242, 270, F3, 125) (dual of [270, 28, 126]-code) [i]
35Linear OA(981, 123, F9, 41) (dual of [123, 42, 42]-code) [i]
36Linear OA(980, 120, F9, 41) (dual of [120, 40, 42]-code) [i]
37Linear OA(979, 117, F9, 41) (dual of [117, 38, 42]-code) [i]
38Linear OA(978, 114, F9, 41) (dual of [114, 36, 42]-code) [i]
39Linear OA(977, 111, F9, 41) (dual of [111, 34, 42]-code) [i]
40Linear OA(976, 108, F9, 41) (dual of [108, 32, 42]-code) [i]
41Linear OA(975, 105, F9, 41) (dual of [105, 30, 42]-code) [i]
42Linear OA(974, 102, F9, 41) (dual of [102, 28, 42]-code) [i]
43Linear OA(973, 99, F9, 41) (dual of [99, 26, 42]-code) [i]
44Linear OA(9102, 124, F9, 62) (dual of [124, 22, 63]-code) [i]
45Linear OA(9100, 120, F9, 62) (dual of [120, 20, 63]-code) [i]
46Linear OA(998, 116, F9, 62) (dual of [116, 18, 63]-code) [i]
47Linear OA(996, 112, F9, 62) (dual of [112, 16, 63]-code) [i]
48Linear OA(994, 108, F9, 62) (dual of [108, 14, 63]-code) [i]
49Linear OA(992, 104, F9, 62) (dual of [104, 12, 63]-code) [i]
50Linear OA(990, 100, F9, 62) (dual of [100, 10, 63]-code) [i]
51Linear OA(9121, 135, F9, 83) (dual of [135, 14, 84]-code) [i]
52Linear OA(9118, 130, F9, 83) (dual of [130, 12, 84]-code) [i]
53Linear OA(9115, 125, F9, 83) (dual of [125, 10, 84]-code) [i]
54Linear OA(9112, 120, F9, 83) (dual of [120, 8, 84]-code) [i]
55Linear OA(9109, 115, F9, 83) (dual of [115, 6, 84]-code) [i]
56Linear OA(9148, 162, F9, 104) (dual of [162, 14, 105]-code) [i]
57Linear OA(9144, 156, F9, 104) (dual of [156, 12, 105]-code) [i]
58Linear OA(9140, 150, F9, 104) (dual of [150, 10, 105]-code) [i]
59Linear OA(9132, 138, F9, 104) (dual of [138, 6, 105]-code) [i]
60Linear OOA(3148, 102, F3, 2, 62) (dual of [(102, 2), 56, 63]-NRT-code) [i]Concatenation of Two NRT-Codes
61Linear OOA(3146, 99, F3, 2, 62) (dual of [(99, 2), 52, 63]-NRT-code) [i]
62Linear OOA(3244, 164, F3, 2, 104) (dual of [(164, 2), 84, 105]-NRT-code) [i]
63Linear OOA(3240, 160, F3, 2, 104) (dual of [(160, 2), 80, 105]-NRT-code) [i]
64Linear OOA(3236, 156, F3, 2, 104) (dual of [(156, 2), 76, 105]-NRT-code) [i]
65Linear OOA(3232, 152, F3, 2, 104) (dual of [(152, 2), 72, 105]-NRT-code) [i]
66Linear OOA(3228, 148, F3, 2, 104) (dual of [(148, 2), 68, 105]-NRT-code) [i]
67Linear OOA(3224, 144, F3, 2, 104) (dual of [(144, 2), 64, 105]-NRT-code) [i]
68Linear OOA(3220, 140, F3, 2, 104) (dual of [(140, 2), 60, 105]-NRT-code) [i]
69Linear OOA(3216, 136, F3, 2, 104) (dual of [(136, 2), 56, 105]-NRT-code) [i]
70Linear OOA(3212, 132, F3, 2, 104) (dual of [(132, 2), 52, 105]-NRT-code) [i]
71Linear OOA(3208, 128, F3, 2, 104) (dual of [(128, 2), 48, 105]-NRT-code) [i]
72Linear OOA(3204, 124, F3, 2, 104) (dual of [(124, 2), 44, 105]-NRT-code) [i]
73Linear OOA(3200, 120, F3, 2, 104) (dual of [(120, 2), 40, 105]-NRT-code) [i]
74Linear OOA(3196, 116, F3, 2, 104) (dual of [(116, 2), 36, 105]-NRT-code) [i]
75Linear OOA(3250, 102, F3, 3, 125) (dual of [(102, 3), 56, 126]-NRT-code) [i]
76Linear OOA(3245, 99, F3, 3, 125) (dual of [(99, 3), 52, 126]-NRT-code) [i]
77Linear OOA(3240, 96, F3, 3, 125) (dual of [(96, 3), 48, 126]-NRT-code) [i]
78Linear OOA(3235, 93, F3, 3, 125) (dual of [(93, 3), 44, 126]-NRT-code) [i]
79Linear OOA(3230, 90, F3, 3, 125) (dual of [(90, 3), 40, 126]-NRT-code) [i]
80Linear OOA(3225, 87, F3, 3, 125) (dual of [(87, 3), 36, 126]-NRT-code) [i]