Information on Result #606354
Linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using Reed–Solomon code RS(5,9)
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(940, 48, F9, 29) (dual of [48, 8, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
2 | Linear OA(940, 48, F9, 29) (dual of [48, 8, 30]-code) | [i] | ||
3 | Linear OA(943, 49, F9, 34) (dual of [49, 6, 35]-code) | [i] | ||
4 | Linear OA(939, 49, F9, 27) (dual of [49, 10, 28]-code) | [i] | ||
5 | Linear OA(9105, 110, F9, 85) (dual of [110, 5, 86]-code) | [i] | Juxtaposition | |
6 | Linear OA(986, 90, F9, 76) (dual of [90, 4, 77]-code) | [i] | ||
7 | Linear OA(993, 97, F9, 80) (dual of [97, 4, 81]-code) | [i] | ||
8 | Linear OA(994, 98, F9, 81) (dual of [98, 4, 82]-code) | [i] | ||
9 | Linear OA(9100, 104, F9, 84) (dual of [104, 4, 85]-code) | [i] | ||
10 | Linear OA(9101, 105, F9, 85) (dual of [105, 4, 86]-code) | [i] | ||
11 | Linear OA(9102, 106, F9, 86) (dual of [106, 4, 87]-code) | [i] | ||
12 | Linear OA(9136, 141, F9, 114) (dual of [141, 5, 115]-code) | [i] | ||
13 | Linear OA(9131, 136, F9, 111) (dual of [136, 5, 112]-code) | [i] | ||
14 | Linear OA(9134, 139, F9, 113) (dual of [139, 5, 114]-code) | [i] | ||
15 | Linear OA(317, 27, F3, 9) (dual of [27, 10, 10]-code) | [i] | Concatenation of Two Codes | |
16 | Linear OA(988, 96, F9, 64) (dual of [96, 8, 65]-code) | [i] | ||
17 | Linear OA(994, 102, F9, 69) (dual of [102, 8, 70]-code) | [i] | ||
18 | Linear OA(9100, 108, F9, 74) (dual of [108, 8, 75]-code) | [i] | ||
19 | Linear OA(9106, 114, F9, 79) (dual of [114, 8, 80]-code) | [i] | ||
20 | Linear OA(9116, 126, F9, 84) (dual of [126, 10, 85]-code) | [i] | ||
21 | Linear OA(9112, 120, F9, 84) (dual of [120, 8, 85]-code) | [i] | ||
22 | Linear OA(9108, 114, F9, 84) (dual of [114, 6, 85]-code) | [i] | ||
23 | Linear OA(9122, 132, F9, 89) (dual of [132, 10, 90]-code) | [i] | ||
24 | Linear OA(9118, 126, F9, 89) (dual of [126, 8, 90]-code) | [i] | ||
25 | Linear OA(9114, 120, F9, 89) (dual of [120, 6, 90]-code) | [i] | ||
26 | Linear OA(9128, 138, F9, 94) (dual of [138, 10, 95]-code) | [i] | ||
27 | Linear OA(9124, 132, F9, 94) (dual of [132, 8, 95]-code) | [i] | ||
28 | Linear OA(9120, 126, F9, 94) (dual of [126, 6, 95]-code) | [i] | ||
29 | Linear OA(9134, 144, F9, 99) (dual of [144, 10, 100]-code) | [i] | ||
30 | Linear OA(9126, 132, F9, 99) (dual of [132, 6, 100]-code) | [i] | ||
31 | Linear OA(9148, 162, F9, 104) (dual of [162, 14, 105]-code) | [i] | ||
32 | Linear OA(9144, 156, F9, 104) (dual of [156, 12, 105]-code) | [i] | ||
33 | Linear OA(9140, 150, F9, 104) (dual of [150, 10, 105]-code) | [i] | ||
34 | Linear OA(9132, 138, F9, 104) (dual of [138, 6, 105]-code) | [i] | ||
35 | Linear OA(9150, 162, F9, 109) (dual of [162, 12, 110]-code) | [i] | ||
36 | Linear OA(9146, 156, F9, 109) (dual of [156, 10, 110]-code) | [i] | ||
37 | Linear OA(938, 48, F9, 26) (dual of [48, 10, 27]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
38 | Linear OA(937, 48, F9, 25) (dual of [48, 11, 26]-code) | [i] | ||
39 | Linear OA(936, 48, F9, 24) (dual of [48, 12, 25]-code) | [i] | ||
40 | Linear OA(935, 48, F9, 23) (dual of [48, 13, 24]-code) | [i] | ||
41 | Linear OA(934, 48, F9, 22) (dual of [48, 14, 23]-code) | [i] | ||
42 | Linear OA(928, 35, F9, 22) (dual of [35, 7, 23]-code) | [i] | ||
43 | Linear OA(9101, 118, F9, 71) (dual of [118, 17, 72]-code) | [i] | ||
44 | Linear OA(9100, 118, F9, 70) (dual of [118, 18, 71]-code) | [i] | ||
45 | Linear OA(999, 118, F9, 69) (dual of [118, 19, 70]-code) | [i] | ||
46 | Linear OA(998, 118, F9, 68) (dual of [118, 20, 69]-code) | [i] | ||
47 | Linear OA(997, 118, F9, 67) (dual of [118, 21, 68]-code) | [i] | ||
48 | Linear OA(996, 118, F9, 66) (dual of [118, 22, 67]-code) | [i] | ||
49 | Linear OA(995, 118, F9, 65) (dual of [118, 23, 66]-code) | [i] | ||
50 | Linear OA(994, 118, F9, 64) (dual of [118, 24, 65]-code) | [i] | ||
51 | Linear OA(993, 118, F9, 63) (dual of [118, 25, 64]-code) | [i] | ||
52 | Linear OA(992, 118, F9, 62) (dual of [118, 26, 63]-code) | [i] | ||
53 | Linear OA(991, 118, F9, 61) (dual of [118, 27, 62]-code) | [i] | ||
54 | Linear OA(990, 118, F9, 60) (dual of [118, 28, 61]-code) | [i] | ||
55 | Linear OA(989, 118, F9, 59) (dual of [118, 29, 60]-code) | [i] | ||
56 | Linear OA(988, 118, F9, 58) (dual of [118, 30, 59]-code) | [i] | ||
57 | Linear OA(987, 118, F9, 57) (dual of [118, 31, 58]-code) | [i] | ||
58 | Linear OA(986, 118, F9, 56) (dual of [118, 32, 57]-code) | [i] | ||
59 | Linear OA(985, 118, F9, 55) (dual of [118, 33, 56]-code) | [i] | ||
60 | Linear OA(984, 118, F9, 54) (dual of [118, 34, 55]-code) | [i] | ||
61 | Linear OA(983, 118, F9, 53) (dual of [118, 35, 54]-code) | [i] | ||
62 | Linear OA(982, 118, F9, 52) (dual of [118, 36, 53]-code) | [i] | ||
63 | Linear OA(981, 118, F9, 51) (dual of [118, 37, 52]-code) | [i] | ||
64 | Linear OA(980, 118, F9, 50) (dual of [118, 38, 51]-code) | [i] | ||
65 | Linear OA(979, 118, F9, 49) (dual of [118, 39, 50]-code) | [i] | ||
66 | Linear OA(978, 118, F9, 48) (dual of [118, 40, 49]-code) | [i] | ||
67 | Linear OA(977, 118, F9, 47) (dual of [118, 41, 48]-code) | [i] | ||
68 | Linear OA(976, 118, F9, 46) (dual of [118, 42, 47]-code) | [i] | ||
69 | Linear OA(975, 118, F9, 45) (dual of [118, 43, 46]-code) | [i] | ||
70 | Linear OA(974, 118, F9, 44) (dual of [118, 44, 45]-code) | [i] | ||
71 | Linear OA(973, 118, F9, 43) (dual of [118, 45, 44]-code) | [i] | ||
72 | Linear OA(972, 118, F9, 42) (dual of [118, 46, 43]-code) | [i] | ||
73 | Linear OA(947, 741, F9, 14) (dual of [741, 694, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
74 | Linear OA(971, 59061, F9, 14) (dual of [59061, 58990, 15]-code) | [i] | ||
75 | Linear OA(995, 4782981, F9, 14) (dual of [4782981, 4782886, 15]-code) | [i] | ||
76 | Linear OA(971, 99, F9, 41) (dual of [99, 28, 42]-code) | [i] | Construction X with Cyclic Codes | |
77 | Linear OA(945, 52, F9, 34) (dual of [52, 7, 35]-code) | [i] | Construction XX with Cyclic Codes | |
78 | Linear OA(940, 93, F9, 22) (dual of [93, 53, 23]-code) | [i] | ||
79 | Linear OA(939, 91, F9, 22) (dual of [91, 52, 23]-code) | [i] | ||
80 | Linear OA(942, 93, F9, 23) (dual of [93, 51, 24]-code) | [i] | ||
81 | Linear OA(941, 91, F9, 23) (dual of [91, 50, 24]-code) | [i] | ||
82 | Linear OA(943, 96, F9, 23) (dual of [96, 53, 24]-code) | [i] | ||
83 | Linear OA(942, 94, F9, 23) (dual of [94, 52, 24]-code) | [i] | ||
84 | Linear OA(945, 96, F9, 24) (dual of [96, 51, 25]-code) | [i] | ||
85 | Linear OA(944, 94, F9, 24) (dual of [94, 50, 25]-code) | [i] | ||
86 | Linear OA(946, 99, F9, 24) (dual of [99, 53, 25]-code) | [i] | ||
87 | Linear OA(945, 97, F9, 24) (dual of [97, 52, 25]-code) | [i] | ||
88 | Linear OA(957, 107, F9, 29) (dual of [107, 50, 30]-code) | [i] | ||
89 | Linear OA(948, 99, F9, 25) (dual of [99, 51, 26]-code) | [i] | ||
90 | Linear OA(947, 97, F9, 25) (dual of [97, 50, 26]-code) | [i] | ||
91 | Linear OA(956, 106, F9, 29) (dual of [106, 50, 30]-code) | [i] | ||
92 | Linear OA(952, 89, F9, 32) (dual of [89, 37, 33]-code) | [i] | ||
93 | Linear OA(969, 106, F9, 39) (dual of [106, 37, 40]-code) | [i] | ||
94 | Linear OA(968, 105, F9, 39) (dual of [105, 37, 40]-code) | [i] | ||
95 | Linear OA(9119, 837, F9, 34) (dual of [837, 718, 35]-code) | [i] | ||
96 | Linear OA(960, 87, F9, 40) (dual of [87, 27, 41]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
97 | Linear OA(950, 88, F9, 31) (dual of [88, 38, 32]-code) | [i] | ||
98 | Linear OA(949, 89, F9, 30) (dual of [89, 40, 31]-code) | [i] | ||
99 | Linear OA(939, 90, F9, 22) (dual of [90, 51, 23]-code) | [i] | ||
100 | Linear OA(937, 90, F9, 21) (dual of [90, 53, 22]-code) | [i] | ||
101 | Linear OA(943, 48, F9, 35) (dual of [48, 5, 36]-code) | [i] | ||
102 | Linear OA(941, 48, F9, 31) (dual of [48, 7, 32]-code) | [i] | ||
103 | Linear OA(940, 48, F9, 30) (dual of [48, 8, 31]-code) | [i] | ||
104 | Linear OA(938, 50, F9, 26) (dual of [50, 12, 27]-code) | [i] | ||
105 | Linear OA(937, 50, F9, 25) (dual of [50, 13, 26]-code) | [i] | ||
106 | Linear OA(988, 115, F9, 52) (dual of [115, 27, 53]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
107 | Linear OA(985, 112, F9, 51) (dual of [112, 27, 52]-code) | [i] | ||
108 | Linear OA(976, 103, F9, 45) (dual of [103, 27, 46]-code) | [i] | ||
109 | Linear OA(980, 118, F9, 42) (dual of [118, 38, 43]-code) | [i] | ||
110 | Linear OA(978, 115, F9, 42) (dual of [115, 37, 43]-code) | [i] | ||
111 | Linear OA(977, 116, F9, 41) (dual of [116, 39, 42]-code) | [i] | ||
112 | Linear OA(976, 116, F9, 40) (dual of [116, 40, 41]-code) | [i] | ||
113 | Linear OA(975, 114, F9, 40) (dual of [114, 39, 41]-code) | [i] | ||
114 | Linear OA(9117, 130, F9, 86) (dual of [130, 13, 87]-code) | [i] | Construction X with Varšamov Bound | |
115 | Linear OA(9122, 135, F9, 90) (dual of [135, 13, 91]-code) | [i] | ||
116 | Linear OA(9126, 138, F9, 94) (dual of [138, 12, 95]-code) | [i] | ||
117 | Linear OA(9110, 127, F9, 78) (dual of [127, 17, 79]-code) | [i] | ||
118 | Linear OA(9111, 128, F9, 79) (dual of [128, 17, 80]-code) | [i] | ||
119 | Linear OA(9104, 122, F9, 73) (dual of [122, 18, 74]-code) | [i] |