Information on Result #606596

Linear OA(8131, 81, F81, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), using Reed–Solomon code RS(50,81)

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(3205, 405, F3, 63) (dual of [405, 200, 64]-code) [i]Concatenation of Two Codes
2Linear OA(3204, 400, F3, 63) (dual of [400, 196, 64]-code) [i]
3Linear OA(3203, 395, F3, 63) (dual of [395, 192, 64]-code) [i]
4Linear OA(3202, 390, F3, 63) (dual of [390, 188, 64]-code) [i]
5Linear OA(3201, 385, F3, 63) (dual of [385, 184, 64]-code) [i]
6Linear OA(3200, 380, F3, 63) (dual of [380, 180, 64]-code) [i]
7Linear OA(3199, 375, F3, 63) (dual of [375, 176, 64]-code) [i]
8Linear OA(3198, 370, F3, 63) (dual of [370, 172, 64]-code) [i]
9Linear OA(3197, 365, F3, 63) (dual of [365, 168, 64]-code) [i]
10Linear OA(3196, 360, F3, 63) (dual of [360, 164, 64]-code) [i]
11Linear OA(3195, 355, F3, 63) (dual of [355, 160, 64]-code) [i]
12Linear OA(3194, 350, F3, 63) (dual of [350, 156, 64]-code) [i]
13Linear OA(3193, 345, F3, 63) (dual of [345, 152, 64]-code) [i]
14Linear OA(3192, 340, F3, 63) (dual of [340, 148, 64]-code) [i]
15Linear OA(3191, 335, F3, 63) (dual of [335, 144, 64]-code) [i]
16Linear OA(3190, 330, F3, 63) (dual of [330, 140, 64]-code) [i]
17Linear OA(3189, 325, F3, 63) (dual of [325, 136, 64]-code) [i]
18Linear OA(3188, 320, F3, 63) (dual of [320, 132, 64]-code) [i]
19Linear OA(3187, 315, F3, 63) (dual of [315, 128, 64]-code) [i]
20Linear OA(3186, 310, F3, 63) (dual of [310, 124, 64]-code) [i]
21Linear OA(3185, 305, F3, 63) (dual of [305, 120, 64]-code) [i]
22Linear OA(3184, 300, F3, 63) (dual of [300, 116, 64]-code) [i]
23Linear OA(3183, 295, F3, 63) (dual of [295, 112, 64]-code) [i]
24Linear OA(3182, 290, F3, 63) (dual of [290, 108, 64]-code) [i]
25Linear OA(3181, 285, F3, 63) (dual of [285, 104, 64]-code) [i]
26Linear OA(3180, 280, F3, 63) (dual of [280, 100, 64]-code) [i]
27Linear OA(9127, 195, F9, 63) (dual of [195, 68, 64]-code) [i]
28Linear OA(9126, 192, F9, 63) (dual of [192, 66, 64]-code) [i]
29Linear OA(9125, 189, F9, 63) (dual of [189, 64, 64]-code) [i]
30Linear OA(9124, 186, F9, 63) (dual of [186, 62, 64]-code) [i]
31Linear OA(9123, 183, F9, 63) (dual of [183, 60, 64]-code) [i]
32Linear OA(9122, 180, F9, 63) (dual of [180, 58, 64]-code) [i]
33Linear OA(9121, 177, F9, 63) (dual of [177, 56, 64]-code) [i]
34Linear OA(9120, 174, F9, 63) (dual of [174, 54, 64]-code) [i]
35Linear OA(9119, 171, F9, 63) (dual of [171, 52, 64]-code) [i]
36Linear OA(9118, 168, F9, 63) (dual of [168, 50, 64]-code) [i]
37Linear OA(9117, 165, F9, 63) (dual of [165, 48, 64]-code) [i]
38Linear OA(9116, 162, F9, 63) (dual of [162, 46, 64]-code) [i]
39Linear OA(9115, 159, F9, 63) (dual of [159, 44, 64]-code) [i]
40Linear OA(9114, 156, F9, 63) (dual of [156, 42, 64]-code) [i]
41Linear OA(9113, 153, F9, 63) (dual of [153, 40, 64]-code) [i]
42Linear OA(9112, 150, F9, 63) (dual of [150, 38, 64]-code) [i]
43Linear OA(9111, 147, F9, 63) (dual of [147, 36, 64]-code) [i]
44Linear OA(9110, 144, F9, 63) (dual of [144, 34, 64]-code) [i]
45Linear OA(9109, 141, F9, 63) (dual of [141, 32, 64]-code) [i]
46Linear OA(9108, 138, F9, 63) (dual of [138, 30, 64]-code) [i]
47Linear OA(9107, 135, F9, 63) (dual of [135, 28, 64]-code) [i]
48Linear OA(9106, 132, F9, 63) (dual of [132, 26, 64]-code) [i]
49Linear OA(9105, 129, F9, 63) (dual of [129, 24, 64]-code) [i]
50Linear OA(9104, 126, F9, 63) (dual of [126, 22, 64]-code) [i]
51Linear OA(9103, 123, F9, 63) (dual of [123, 20, 64]-code) [i]
52Linear OA(9102, 120, F9, 63) (dual of [120, 18, 64]-code) [i]
53Linear OA(9101, 117, F9, 63) (dual of [117, 16, 64]-code) [i]
54Linear OA(9100, 114, F9, 63) (dual of [114, 14, 64]-code) [i]
55Linear OA(999, 111, F9, 63) (dual of [111, 12, 64]-code) [i]
56Linear OA(9150, 176, F9, 95) (dual of [176, 26, 96]-code) [i]
57Linear OA(9148, 172, F9, 95) (dual of [172, 24, 96]-code) [i]
58Linear OA(9146, 168, F9, 95) (dual of [168, 22, 96]-code) [i]
59Linear OA(9144, 164, F9, 95) (dual of [164, 20, 96]-code) [i]
60Linear OA(9142, 160, F9, 95) (dual of [160, 18, 96]-code) [i]
61Linear OOA(3250, 189, F3, 2, 95) (dual of [(189, 2), 128, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
62Linear OOA(3248, 186, F3, 2, 95) (dual of [(186, 2), 124, 96]-NRT-code) [i]
63Linear OOA(3246, 183, F3, 2, 95) (dual of [(183, 2), 120, 96]-NRT-code) [i]
64Linear OOA(3244, 180, F3, 2, 95) (dual of [(180, 2), 116, 96]-NRT-code) [i]
65Linear OOA(3242, 177, F3, 2, 95) (dual of [(177, 2), 112, 96]-NRT-code) [i]
66Linear OOA(3240, 174, F3, 2, 95) (dual of [(174, 2), 108, 96]-NRT-code) [i]
67Linear OOA(3238, 171, F3, 2, 95) (dual of [(171, 2), 104, 96]-NRT-code) [i]
68Linear OOA(3236, 168, F3, 2, 95) (dual of [(168, 2), 100, 96]-NRT-code) [i]
69Linear OOA(3234, 165, F3, 2, 95) (dual of [(165, 2), 96, 96]-NRT-code) [i]
70Linear OOA(3232, 162, F3, 2, 95) (dual of [(162, 2), 92, 96]-NRT-code) [i]
71Linear OOA(3230, 159, F3, 2, 95) (dual of [(159, 2), 88, 96]-NRT-code) [i]
72Linear OOA(3228, 156, F3, 2, 95) (dual of [(156, 2), 84, 96]-NRT-code) [i]
73Linear OOA(3226, 153, F3, 2, 95) (dual of [(153, 2), 80, 96]-NRT-code) [i]
74Linear OOA(3224, 150, F3, 2, 95) (dual of [(150, 2), 76, 96]-NRT-code) [i]
75Linear OOA(3222, 147, F3, 2, 95) (dual of [(147, 2), 72, 96]-NRT-code) [i]