Information on Result #605336

Linear OA(92, 3, F9, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,9)), using dual of repetition code with length 3

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code) [i]
3Linear OA(972, 59061, F9, 14) (dual of [59061, 58989, 15]-code) [i]
4Linear OA(996, 4782981, F9, 14) (dual of [4782981, 4782885, 15]-code) [i]
5Linear OA(954, 59058, F9, 11) (dual of [59058, 59004, 12]-code) [i]
6Linear OA(972, 4782978, F9, 11) (dual of [4782978, 4782906, 12]-code) [i]
7Linear OA(927, 735, F9, 8) (dual of [735, 708, 9]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(935, 13128, F9, 8) (dual of [13128, 13093, 9]-code) [i]
9Linear OA(941, 59055, F9, 8) (dual of [59055, 59014, 9]-code) [i]
10Linear OA(949, 1062888, F9, 8) (dual of [1062888, 1062839, 9]-code) [i]
11Linear OA(955, 4782975, F9, 8) (dual of [4782975, 4782920, 9]-code) [i]
12Linear OA(919, 6565, F9, 5) (dual of [6565, 6546, 6]-code) [i]Construction X with Cyclic Codes
13Linear OA(923, 59053, F9, 5) (dual of [59053, 59030, 6]-code) [i]
14Linear OA(927, 531445, F9, 5) (dual of [531445, 531418, 6]-code) [i]
15Linear OA(931, 4782973, F9, 5) (dual of [4782973, 4782942, 6]-code) [i]
16Linear OA(915, 85, F9, 7) (dual of [85, 70, 8]-code) [i]
17Linear OA(919, 23, F9, 15) (dual of [23, 4, 16]-code) [i]
18Linear OA(951, 94, F9, 25) (dual of [94, 43, 26]-code) [i]
19Linear OA(954, 94, F9, 26) (dual of [94, 40, 27]-code) [i]
20Linear OA(957, 94, F9, 30) (dual of [94, 37, 31]-code) [i]
21Linear OA(990, 107, F9, 54) (dual of [107, 17, 55]-code) [i]
22Linear OA(9146, 211, F9, 54) (dual of [211, 65, 55]-code) [i]
23Linear OA(991, 107, F9, 57) (dual of [107, 16, 58]-code) [i]
24Linear OA(994, 107, F9, 58) (dual of [107, 13, 59]-code) [i]
25Linear OA(997, 107, F9, 67) (dual of [107, 10, 68]-code) [i]
26Linear OA(998, 107, F9, 70) (dual of [107, 9, 71]-code) [i]
27Linear OA(9101, 107, F9, 71) (dual of [107, 6, 72]-code) [i]
28Linear OA(9145, 167, F9, 87) (dual of [167, 22, 88]-code) [i]
29Linear OA(975, 112, F9, 39) (dual of [112, 37, 40]-code) [i]Construction XX with Cyclic Codes
30Linear OA(960, 97, F9, 31) (dual of [97, 37, 32]-code) [i]
31Linear OA(977, 114, F9, 40) (dual of [114, 37, 41]-code) [i]Construction XX with a Chain of Cyclic Codes
32Linear OA(942, 92, F9, 23) (dual of [92, 50, 24]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(978, 95, F9, 54) (dual of [95, 17, 55]-code) [i]Construction X with VarÅ¡amov Bound
34Linear OA(979, 96, F9, 55) (dual of [96, 17, 56]-code) [i]
35Linear OA(982, 99, F9, 57) (dual of [99, 17, 58]-code) [i]
36Linear OA(983, 100, F9, 58) (dual of [100, 17, 59]-code) [i]
37Linear OA(9118, 131, F9, 87) (dual of [131, 13, 88]-code) [i]
38Linear OA(9119, 132, F9, 88) (dual of [132, 13, 89]-code) [i]
39Linear OA(9130, 138, F9, 101) (dual of [138, 8, 102]-code) [i]
40Linear OA(9131, 139, F9, 102) (dual of [139, 8, 103]-code) [i]
41Linear OA(9132, 140, F9, 103) (dual of [140, 8, 104]-code) [i]
42Linear OA(9101, 117, F9, 72) (dual of [117, 16, 73]-code) [i]
43Linear OA(9120, 134, F9, 88) (dual of [134, 14, 89]-code) [i]