Information on Result #606582

Linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using Reed–Solomon code RS(64,81)

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(3126, 290, F3, 35) (dual of [290, 164, 36]-code) [i]Concatenation of Two Codes
2Linear OA(3125, 285, F3, 35) (dual of [285, 160, 36]-code) [i]
3Linear OA(3124, 280, F3, 35) (dual of [280, 156, 36]-code) [i]
4Linear OA(3123, 275, F3, 35) (dual of [275, 152, 36]-code) [i]
5Linear OA(3122, 270, F3, 35) (dual of [270, 148, 36]-code) [i]
6Linear OA(3121, 265, F3, 35) (dual of [265, 144, 36]-code) [i]
7Linear OA(3120, 260, F3, 35) (dual of [260, 140, 36]-code) [i]
8Linear OA(3203, 243, F3, 89) (dual of [243, 40, 90]-code) [i]
9Linear OA(3248, 300, F3, 107) (dual of [300, 52, 108]-code) [i]
10Linear OA(3242, 290, F3, 107) (dual of [290, 48, 108]-code) [i]
11Linear OA(3236, 280, F3, 107) (dual of [280, 44, 108]-code) [i]
12Linear OA(3230, 270, F3, 107) (dual of [270, 40, 108]-code) [i]
13Linear OA(3224, 260, F3, 107) (dual of [260, 36, 108]-code) [i]
14Linear OA(969, 105, F9, 35) (dual of [105, 36, 36]-code) [i]
15Linear OA(968, 102, F9, 35) (dual of [102, 34, 36]-code) [i]
16Linear OA(967, 99, F9, 35) (dual of [99, 32, 36]-code) [i]
17Linear OA(966, 96, F9, 35) (dual of [96, 30, 36]-code) [i]
18Linear OA(986, 104, F9, 53) (dual of [104, 18, 54]-code) [i]
19Linear OA(984, 100, F9, 53) (dual of [100, 16, 54]-code) [i]
20Linear OA(982, 96, F9, 53) (dual of [96, 14, 54]-code) [i]
21Linear OA(9103, 115, F9, 71) (dual of [115, 12, 72]-code) [i]
22Linear OA(9100, 110, F9, 71) (dual of [110, 10, 72]-code) [i]
23Linear OA(997, 105, F9, 71) (dual of [105, 8, 72]-code) [i]
24Linear OA(9122, 132, F9, 89) (dual of [132, 10, 90]-code) [i]
25Linear OA(9118, 126, F9, 89) (dual of [126, 8, 90]-code) [i]
26Linear OA(9114, 120, F9, 89) (dual of [120, 6, 90]-code) [i]
27Linear OA(9134, 140, F9, 107) (dual of [140, 6, 108]-code) [i]
28Linear OOA(3130, 93, F3, 2, 53) (dual of [(93, 2), 56, 54]-NRT-code) [i]Concatenation of Two NRT-Codes
29Linear OOA(3128, 90, F3, 2, 53) (dual of [(90, 2), 52, 54]-NRT-code) [i]
30Linear OOA(3126, 87, F3, 2, 53) (dual of [(87, 2), 48, 54]-NRT-code) [i]
31Linear OOA(3208, 140, F3, 2, 89) (dual of [(140, 2), 72, 90]-NRT-code) [i]
32Linear OOA(3204, 136, F3, 2, 89) (dual of [(136, 2), 68, 90]-NRT-code) [i]
33Linear OOA(3200, 132, F3, 2, 89) (dual of [(132, 2), 64, 90]-NRT-code) [i]
34Linear OOA(3196, 128, F3, 2, 89) (dual of [(128, 2), 60, 90]-NRT-code) [i]
35Linear OOA(3192, 124, F3, 2, 89) (dual of [(124, 2), 56, 90]-NRT-code) [i]
36Linear OOA(3188, 120, F3, 2, 89) (dual of [(120, 2), 52, 90]-NRT-code) [i]
37Linear OOA(3184, 116, F3, 2, 89) (dual of [(116, 2), 48, 90]-NRT-code) [i]
38Linear OOA(3180, 112, F3, 2, 89) (dual of [(112, 2), 44, 90]-NRT-code) [i]
39Linear OOA(3176, 108, F3, 2, 89) (dual of [(108, 2), 40, 90]-NRT-code) [i]
40Linear OOA(3238, 102, F3, 3, 107) (dual of [(102, 3), 68, 108]-NRT-code) [i]
41Linear OOA(3233, 99, F3, 3, 107) (dual of [(99, 3), 64, 108]-NRT-code) [i]
42Linear OOA(3244, 88, F3, 3, 161) (dual of [(88, 3), 20, 162]-NRT-code) [i]
43Linear OA(8182, 404, F81, 49) (dual of [404, 322, 50]-code) [i]Construction X with Algebraic-Geometric Codes
44Linear OA(8181, 404, F81, 48) (dual of [404, 323, 49]-code) [i]
45Linear OA(8180, 404, F81, 47) (dual of [404, 324, 48]-code) [i]
46Linear OA(8179, 404, F81, 46) (dual of [404, 325, 47]-code) [i]
47Linear OA(8178, 404, F81, 45) (dual of [404, 326, 46]-code) [i]
48Linear OA(8177, 404, F81, 44) (dual of [404, 327, 45]-code) [i]
49Linear OA(8176, 404, F81, 43) (dual of [404, 328, 44]-code) [i]