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:

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