Information on Result #606598

Linear OA(8133, 81, F81, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), using Reed–Solomon code RS(48,81)

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(3213, 405, F3, 67) (dual of [405, 192, 68]-code) [i]Concatenation of Two Codes
2Linear OA(3212, 400, F3, 67) (dual of [400, 188, 68]-code) [i]
3Linear OA(3211, 395, F3, 67) (dual of [395, 184, 68]-code) [i]
4Linear OA(3210, 390, F3, 67) (dual of [390, 180, 68]-code) [i]
5Linear OA(3209, 385, F3, 67) (dual of [385, 176, 68]-code) [i]
6Linear OA(3208, 380, F3, 67) (dual of [380, 172, 68]-code) [i]
7Linear OA(3207, 375, F3, 67) (dual of [375, 168, 68]-code) [i]
8Linear OA(3206, 370, F3, 67) (dual of [370, 164, 68]-code) [i]
9Linear OA(3205, 365, F3, 67) (dual of [365, 160, 68]-code) [i]
10Linear OA(3204, 360, F3, 67) (dual of [360, 156, 68]-code) [i]
11Linear OA(3203, 355, F3, 67) (dual of [355, 152, 68]-code) [i]
12Linear OA(3202, 350, F3, 67) (dual of [350, 148, 68]-code) [i]
13Linear OA(3201, 345, F3, 67) (dual of [345, 144, 68]-code) [i]
14Linear OA(3200, 340, F3, 67) (dual of [340, 140, 68]-code) [i]
15Linear OA(3199, 335, F3, 67) (dual of [335, 136, 68]-code) [i]
16Linear OA(3198, 330, F3, 67) (dual of [330, 132, 68]-code) [i]
17Linear OA(3197, 325, F3, 67) (dual of [325, 128, 68]-code) [i]
18Linear OA(3196, 320, F3, 67) (dual of [320, 124, 68]-code) [i]
19Linear OA(3195, 315, F3, 67) (dual of [315, 120, 68]-code) [i]
20Linear OA(3194, 310, F3, 67) (dual of [310, 116, 68]-code) [i]
21Linear OA(3193, 305, F3, 67) (dual of [305, 112, 68]-code) [i]
22Linear OA(9137, 213, F9, 67) (dual of [213, 76, 68]-code) [i]
23Linear OA(9136, 210, F9, 67) (dual of [210, 74, 68]-code) [i]
24Linear OA(9135, 207, F9, 67) (dual of [207, 72, 68]-code) [i]
25Linear OA(9134, 204, F9, 67) (dual of [204, 70, 68]-code) [i]
26Linear OA(9133, 201, F9, 67) (dual of [201, 68, 68]-code) [i]
27Linear OA(9132, 198, F9, 67) (dual of [198, 66, 68]-code) [i]
28Linear OA(9131, 195, F9, 67) (dual of [195, 64, 68]-code) [i]
29Linear OA(9130, 192, F9, 67) (dual of [192, 62, 68]-code) [i]
30Linear OA(9129, 189, F9, 67) (dual of [189, 60, 68]-code) [i]
31Linear OA(9128, 186, F9, 67) (dual of [186, 58, 68]-code) [i]
32Linear OA(9127, 183, F9, 67) (dual of [183, 56, 68]-code) [i]
33Linear OA(9125, 177, F9, 67) (dual of [177, 52, 68]-code) [i]
34Linear OA(9124, 174, F9, 67) (dual of [174, 50, 68]-code) [i]
35Linear OA(9123, 171, F9, 67) (dual of [171, 48, 68]-code) [i]
36Linear OA(9122, 168, F9, 67) (dual of [168, 46, 68]-code) [i]
37Linear OA(9121, 165, F9, 67) (dual of [165, 44, 68]-code) [i]
38Linear OA(9120, 162, F9, 67) (dual of [162, 42, 68]-code) [i]
39Linear OA(9119, 159, F9, 67) (dual of [159, 40, 68]-code) [i]
40Linear OA(9118, 156, F9, 67) (dual of [156, 38, 68]-code) [i]
41Linear OA(9117, 153, F9, 67) (dual of [153, 36, 68]-code) [i]
42Linear OA(9116, 150, F9, 67) (dual of [150, 34, 68]-code) [i]
43Linear OA(9115, 147, F9, 67) (dual of [147, 32, 68]-code) [i]
44Linear OA(9114, 144, F9, 67) (dual of [144, 30, 68]-code) [i]
45Linear OA(9113, 141, F9, 67) (dual of [141, 28, 68]-code) [i]
46Linear OA(9112, 138, F9, 67) (dual of [138, 26, 68]-code) [i]
47Linear OA(9111, 135, F9, 67) (dual of [135, 24, 68]-code) [i]
48Linear OA(9110, 132, F9, 67) (dual of [132, 22, 68]-code) [i]
49Linear OA(9109, 129, F9, 67) (dual of [129, 20, 68]-code) [i]
50Linear OA(9108, 126, F9, 67) (dual of [126, 18, 68]-code) [i]
51Linear OA(9107, 123, F9, 67) (dual of [123, 16, 68]-code) [i]
52Linear OA(9150, 168, F9, 101) (dual of [168, 18, 102]-code) [i]
53Linear OOA(3250, 177, F3, 2, 101) (dual of [(177, 2), 104, 102]-NRT-code) [i]Concatenation of Two NRT-Codes
54Linear OOA(3248, 174, F3, 2, 101) (dual of [(174, 2), 100, 102]-NRT-code) [i]
55Linear OOA(3246, 171, F3, 2, 101) (dual of [(171, 2), 96, 102]-NRT-code) [i]
56Linear OOA(3244, 168, F3, 2, 101) (dual of [(168, 2), 92, 102]-NRT-code) [i]
57Linear OOA(3242, 165, F3, 2, 101) (dual of [(165, 2), 88, 102]-NRT-code) [i]
58Linear OOA(3240, 162, F3, 2, 101) (dual of [(162, 2), 84, 102]-NRT-code) [i]
59Linear OOA(3238, 159, F3, 2, 101) (dual of [(159, 2), 80, 102]-NRT-code) [i]
60Linear OOA(3236, 156, F3, 2, 101) (dual of [(156, 2), 76, 102]-NRT-code) [i]
61Linear OOA(3234, 153, F3, 2, 101) (dual of [(153, 2), 72, 102]-NRT-code) [i]
62Linear OOA(3232, 150, F3, 2, 101) (dual of [(150, 2), 68, 102]-NRT-code) [i]
63Linear OOA(3230, 147, F3, 2, 101) (dual of [(147, 2), 64, 102]-NRT-code) [i]