Information on Result #606605

Linear OA(8140, 81, F81, 40) (dual of [81, 41, 41]-code or 81-arc in PG(39,81)), using Reed–Solomon code RS(41,81)

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(3241, 405, F3, 81) (dual of [405, 164, 82]-code) [i]Concatenation of Two Codes
2Linear OA(3240, 400, F3, 81) (dual of [400, 160, 82]-code) [i]
3Linear OA(3239, 395, F3, 81) (dual of [395, 156, 82]-code) [i]
4Linear OA(3238, 390, F3, 81) (dual of [390, 152, 82]-code) [i]
5Linear OA(3237, 385, F3, 81) (dual of [385, 148, 82]-code) [i]
6Linear OA(3236, 380, F3, 81) (dual of [380, 144, 82]-code) [i]
7Linear OA(3235, 375, F3, 81) (dual of [375, 140, 82]-code) [i]
8Linear OA(3234, 370, F3, 81) (dual of [370, 136, 82]-code) [i]
9Linear OA(3233, 365, F3, 81) (dual of [365, 132, 82]-code) [i]
10Linear OA(3232, 360, F3, 81) (dual of [360, 128, 82]-code) [i]
11Linear OA(3231, 355, F3, 81) (dual of [355, 124, 82]-code) [i]
12Linear OA(3230, 350, F3, 81) (dual of [350, 120, 82]-code) [i]
13Linear OA(3229, 345, F3, 81) (dual of [345, 116, 82]-code) [i]
14Linear OA(3228, 340, F3, 81) (dual of [340, 112, 82]-code) [i]
15Linear OA(3227, 335, F3, 81) (dual of [335, 108, 82]-code) [i]
16Linear OA(9150, 210, F9, 81) (dual of [210, 60, 82]-code) [i]
17Linear OA(9149, 207, F9, 81) (dual of [207, 58, 82]-code) [i]
18Linear OA(9148, 204, F9, 81) (dual of [204, 56, 82]-code) [i]
19Linear OA(9147, 201, F9, 81) (dual of [201, 54, 82]-code) [i]
20Linear OA(9146, 198, F9, 81) (dual of [198, 52, 82]-code) [i]
21Linear OA(9145, 195, F9, 81) (dual of [195, 50, 82]-code) [i]
22Linear OA(9144, 192, F9, 81) (dual of [192, 48, 82]-code) [i]
23Linear OA(9143, 189, F9, 81) (dual of [189, 46, 82]-code) [i]
24Linear OA(9142, 186, F9, 81) (dual of [186, 44, 82]-code) [i]
25Linear OA(9141, 183, F9, 81) (dual of [183, 42, 82]-code) [i]
26Linear OA(9140, 180, F9, 81) (dual of [180, 40, 82]-code) [i]
27Linear OA(9139, 177, F9, 81) (dual of [177, 38, 82]-code) [i]
28Linear OA(9138, 174, F9, 81) (dual of [174, 36, 82]-code) [i]
29Linear OA(9137, 171, F9, 81) (dual of [171, 34, 82]-code) [i]
30Linear OA(9136, 168, F9, 81) (dual of [168, 32, 82]-code) [i]
31Linear OA(9135, 165, F9, 81) (dual of [165, 30, 82]-code) [i]
32Linear OA(9134, 162, F9, 81) (dual of [162, 28, 82]-code) [i]
33Linear OA(9133, 159, F9, 81) (dual of [159, 26, 82]-code) [i]
34Linear OA(9132, 156, F9, 81) (dual of [156, 24, 82]-code) [i]
35Linear OA(9131, 153, F9, 81) (dual of [153, 22, 82]-code) [i]
36Linear OA(9130, 150, F9, 81) (dual of [150, 20, 82]-code) [i]
37Linear OA(9129, 147, F9, 81) (dual of [147, 18, 82]-code) [i]