Information on Result #606600

Linear OA(8135, 81, F81, 35) (dual of [81, 46, 36]-code or 81-arc in PG(34,81)), using Reed–Solomon code RS(46,81)

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(3221, 405, F3, 71) (dual of [405, 184, 72]-code) [i]Concatenation of Two Codes
2Linear OA(3220, 400, F3, 71) (dual of [400, 180, 72]-code) [i]
3Linear OA(3219, 395, F3, 71) (dual of [395, 176, 72]-code) [i]
4Linear OA(3218, 390, F3, 71) (dual of [390, 172, 72]-code) [i]
5Linear OA(3217, 385, F3, 71) (dual of [385, 168, 72]-code) [i]
6Linear OA(3216, 380, F3, 71) (dual of [380, 164, 72]-code) [i]
7Linear OA(3215, 375, F3, 71) (dual of [375, 160, 72]-code) [i]
8Linear OA(3214, 370, F3, 71) (dual of [370, 156, 72]-code) [i]
9Linear OA(3213, 365, F3, 71) (dual of [365, 152, 72]-code) [i]
10Linear OA(3212, 360, F3, 71) (dual of [360, 148, 72]-code) [i]
11Linear OA(3211, 355, F3, 71) (dual of [355, 144, 72]-code) [i]
12Linear OA(3210, 350, F3, 71) (dual of [350, 140, 72]-code) [i]
13Linear OA(3209, 345, F3, 71) (dual of [345, 136, 72]-code) [i]
14Linear OA(3208, 340, F3, 71) (dual of [340, 132, 72]-code) [i]
15Linear OA(3207, 335, F3, 71) (dual of [335, 128, 72]-code) [i]
16Linear OA(3206, 330, F3, 71) (dual of [330, 124, 72]-code) [i]
17Linear OA(3205, 325, F3, 71) (dual of [325, 120, 72]-code) [i]
18Linear OA(3204, 320, F3, 71) (dual of [320, 116, 72]-code) [i]
19Linear OA(3203, 315, F3, 71) (dual of [315, 112, 72]-code) [i]
20Linear OA(3202, 310, F3, 71) (dual of [310, 108, 72]-code) [i]
21Linear OA(9149, 237, F9, 71) (dual of [237, 88, 72]-code) [i]
22Linear OA(9145, 225, F9, 71) (dual of [225, 80, 72]-code) [i]
23Linear OA(9144, 222, F9, 71) (dual of [222, 78, 72]-code) [i]
24Linear OA(9143, 219, F9, 71) (dual of [219, 76, 72]-code) [i]
25Linear OA(9142, 216, F9, 71) (dual of [216, 74, 72]-code) [i]
26Linear OA(9141, 213, F9, 71) (dual of [213, 72, 72]-code) [i]
27Linear OA(9140, 210, F9, 71) (dual of [210, 70, 72]-code) [i]
28Linear OA(9139, 207, F9, 71) (dual of [207, 68, 72]-code) [i]
29Linear OA(9138, 204, F9, 71) (dual of [204, 66, 72]-code) [i]
30Linear OA(9137, 201, F9, 71) (dual of [201, 64, 72]-code) [i]
31Linear OA(9136, 198, F9, 71) (dual of [198, 62, 72]-code) [i]
32Linear OA(9135, 195, F9, 71) (dual of [195, 60, 72]-code) [i]
33Linear OA(9134, 192, F9, 71) (dual of [192, 58, 72]-code) [i]
34Linear OA(9133, 189, F9, 71) (dual of [189, 56, 72]-code) [i]
35Linear OA(9132, 186, F9, 71) (dual of [186, 54, 72]-code) [i]
36Linear OA(9131, 183, F9, 71) (dual of [183, 52, 72]-code) [i]
37Linear OA(9130, 180, F9, 71) (dual of [180, 50, 72]-code) [i]
38Linear OA(9129, 177, F9, 71) (dual of [177, 48, 72]-code) [i]
39Linear OA(9128, 174, F9, 71) (dual of [174, 46, 72]-code) [i]
40Linear OA(9127, 171, F9, 71) (dual of [171, 44, 72]-code) [i]
41Linear OA(9126, 168, F9, 71) (dual of [168, 42, 72]-code) [i]
42Linear OA(9125, 165, F9, 71) (dual of [165, 40, 72]-code) [i]
43Linear OA(9124, 162, F9, 71) (dual of [162, 38, 72]-code) [i]
44Linear OA(9123, 159, F9, 71) (dual of [159, 36, 72]-code) [i]
45Linear OA(9122, 156, F9, 71) (dual of [156, 34, 72]-code) [i]
46Linear OA(9121, 153, F9, 71) (dual of [153, 32, 72]-code) [i]
47Linear OA(9120, 150, F9, 71) (dual of [150, 30, 72]-code) [i]
48Linear OA(9119, 147, F9, 71) (dual of [147, 28, 72]-code) [i]
49Linear OA(9118, 144, F9, 71) (dual of [144, 26, 72]-code) [i]
50Linear OA(9117, 141, F9, 71) (dual of [141, 24, 72]-code) [i]
51Linear OA(9116, 138, F9, 71) (dual of [138, 22, 72]-code) [i]
52Linear OA(9115, 135, F9, 71) (dual of [135, 20, 72]-code) [i]
53Linear OA(9114, 132, F9, 71) (dual of [132, 18, 72]-code) [i]
54Linear OOA(3250, 165, F3, 2, 107) (dual of [(165, 2), 80, 108]-NRT-code) [i]Concatenation of Two NRT-Codes
55Linear OOA(3248, 162, F3, 2, 107) (dual of [(162, 2), 76, 108]-NRT-code) [i]
56Linear OOA(3246, 159, F3, 2, 107) (dual of [(159, 2), 72, 108]-NRT-code) [i]