Information on Result #2251850

Linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using 1 times truncation based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using

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(955, 748, F9, 17) (dual of [748, 693, 18]-code) [i](u, u+v)-Construction
2Linear OA(975, 13143, F9, 17) (dual of [13143, 13068, 18]-code) [i]
3Linear OA(985, 59068, F9, 17) (dual of [59068, 58983, 18]-code) [i]
4Linear OA(9115, 4782988, F9, 17) (dual of [4782988, 4782873, 18]-code) [i]
5Linear OA(952, 748, F9, 16) (dual of [748, 696, 17]-code) [i]
6Linear OA(980, 59068, F9, 16) (dual of [59068, 58988, 17]-code) [i]
7Linear OA(9108, 4782988, F9, 16) (dual of [4782988, 4782880, 17]-code) [i]
8Linear OA(9100, 112, F9, 69) (dual of [112, 12, 70]-code) [i]Generalized (u, u+v)-Construction
9Linear OA(9105, 120, F9, 69) (dual of [120, 15, 70]-code) [i]
10Linear OA(9109, 128, F9, 69) (dual of [128, 19, 70]-code) [i]
11Linear OA(990, 105, F9, 59) (dual of [105, 15, 60]-code) [i]
12Linear OA(987, 97, F9, 61) (dual of [97, 10, 62]-code) [i]Juxtaposition
13Linear OA(991, 100, F9, 70) (dual of [100, 9, 71]-code) [i]
14Linear OA(9101, 110, F9, 72) (dual of [110, 9, 73]-code) [i]
15Linear OA(9108, 117, F9, 78) (dual of [117, 9, 79]-code) [i]
16Linear OA(9109, 118, F9, 79) (dual of [118, 9, 80]-code) [i]
17Linear OA(937, 45, F9, 26) (dual of [45, 8, 27]-code) [i]
18Linear OA(990, 98, F9, 70) (dual of [98, 8, 71]-code) [i]
19Linear OA(937, 44, F9, 27) (dual of [44, 7, 28]-code) [i]
20Linear OA(939, 46, F9, 28) (dual of [46, 7, 29]-code) [i]
21Linear OA(9100, 107, F9, 79) (dual of [107, 7, 80]-code) [i]
22Linear OA(9116, 123, F9, 88) (dual of [123, 7, 89]-code) [i]
23Linear OA(937, 43, F9, 28) (dual of [43, 6, 29]-code) [i]
24Linear OA(939, 45, F9, 29) (dual of [45, 6, 30]-code) [i]
25Linear OA(9110, 116, F9, 88) (dual of [116, 6, 89]-code) [i]
26Linear OA(9110, 115, F9, 89) (dual of [115, 5, 90]-code) [i]
27Linear OA(991, 95, F9, 80) (dual of [95, 4, 81]-code) [i]
28Linear OA(9101, 105, F9, 87) (dual of [105, 4, 88]-code) [i]
29Linear OA(9103, 107, F9, 88) (dual of [107, 4, 89]-code) [i]
30Linear OA(9104, 108, F9, 89) (dual of [108, 4, 90]-code) [i]
31Linear OA(9128, 135, F9, 99) (dual of [135, 7, 100]-code) [i]
32Linear OA(9131, 141, F9, 98) (dual of [141, 10, 99]-code) [i]
33Linear OA(9141, 146, F9, 118) (dual of [146, 5, 119]-code) [i]
34Linear OA(9139, 147, F9, 110) (dual of [147, 8, 111]-code) [i]
35Linear OA(9136, 141, F9, 115) (dual of [141, 5, 116]-code) [i]
36Linear OA(9139, 144, F9, 117) (dual of [144, 5, 118]-code) [i]
37Linear OA(356, 76, F3, 26) (dual of [76, 20, 27]-code) [i]Concatenation of Two Codes
38Linear OA(354, 72, F3, 26) (dual of [72, 18, 27]-code) [i]
39Linear OA(350, 64, F3, 26) (dual of [64, 14, 27]-code) [i]
40Linear OA(348, 60, F3, 26) (dual of [60, 12, 27]-code) [i]
41Linear OA(344, 52, F3, 26) (dual of [52, 8, 27]-code) [i]
42Linear OOA(396, 52, F3, 2, 62) (dual of [(52, 2), 8, 63]-NRT-code) [i]Concatenation of Two NRT-Codes
43Linear OA(934, 45, F9, 22) (dual of [45, 11, 23]-code) [i]Construction X with Algebraic-Geometric Codes
44Linear OA(971, 91, F9, 45) (dual of [91, 20, 46]-code) [i]
45Linear OA(970, 91, F9, 44) (dual of [91, 21, 45]-code) [i]
46Linear OA(969, 91, F9, 43) (dual of [91, 22, 44]-code) [i]
47Linear OA(968, 91, F9, 42) (dual of [91, 23, 43]-code) [i]
48Linear OA(963, 91, F9, 37) (dual of [91, 28, 38]-code) [i]
49Linear OA(962, 91, F9, 36) (dual of [91, 29, 37]-code) [i]
50Linear OA(961, 91, F9, 35) (dual of [91, 30, 36]-code) [i]
51Linear OA(960, 91, F9, 34) (dual of [91, 31, 35]-code) [i]
52Linear OA(959, 91, F9, 33) (dual of [91, 32, 34]-code) [i]
53Linear OA(953, 91, F9, 27) (dual of [91, 38, 28]-code) [i]
54Linear OA(9137, 59073, F9, 26) (dual of [59073, 58936, 27]-code) [i](u, u−v, u+v+w)-Construction
55Linear OA(9138, 59077, F9, 26) (dual of [59077, 58939, 27]-code) [i]
56Linear OA(9132, 59076, F9, 25) (dual of [59076, 58944, 26]-code) [i]
57Linear OA(990, 59078, F9, 17) (dual of [59078, 58988, 18]-code) [i]
58Linear OA(9120, 4782998, F9, 17) (dual of [4782998, 4782878, 18]-code) [i]
59Linear OA(979, 96, F9, 53) (dual of [96, 17, 54]-code) [i]Construction X with Cyclic Codes
60Linear OA(977, 96, F9, 52) (dual of [96, 19, 53]-code) [i]
61Linear OA(975, 96, F9, 51) (dual of [96, 21, 52]-code) [i]
62Linear OA(974, 97, F9, 50) (dual of [97, 23, 51]-code) [i]
63Linear OA(973, 97, F9, 49) (dual of [97, 24, 50]-code) [i]
64Linear OA(973, 106, F9, 40) (dual of [106, 33, 41]-code) [i]
65Linear OA(979, 97, F9, 53) (dual of [97, 18, 54]-code) [i]Construction XX with Cyclic Codes
66Linear OA(977, 97, F9, 52) (dual of [97, 20, 53]-code) [i]
67Linear OA(975, 97, F9, 51) (dual of [97, 22, 52]-code) [i]
68Linear OA(974, 98, F9, 50) (dual of [98, 24, 51]-code) [i]
69Linear OA(975, 112, F9, 39) (dual of [112, 37, 40]-code) [i]
70Linear OA(957, 107, F9, 29) (dual of [107, 50, 30]-code) [i]
71Linear OA(959, 109, F9, 30) (dual of [109, 50, 31]-code) [i]
72Linear OA(958, 103, F9, 32) (dual of [103, 45, 33]-code) [i]
73Linear OA(957, 101, F9, 32) (dual of [101, 44, 33]-code) [i]
74Linear OA(961, 106, F9, 33) (dual of [106, 45, 34]-code) [i]
75Linear OA(960, 104, F9, 33) (dual of [104, 44, 34]-code) [i]
76Linear OA(959, 101, F9, 33) (dual of [101, 42, 34]-code) [i]
77Linear OA(964, 109, F9, 34) (dual of [109, 45, 35]-code) [i]
78Linear OA(963, 107, F9, 34) (dual of [107, 44, 35]-code) [i]
79Linear OA(962, 104, F9, 34) (dual of [104, 42, 35]-code) [i]
80Linear OA(961, 101, F9, 34) (dual of [101, 40, 35]-code) [i]
81Linear OA(967, 111, F9, 35) (dual of [111, 44, 36]-code) [i]
82Linear OA(965, 107, F9, 35) (dual of [107, 42, 36]-code) [i]
83Linear OA(964, 104, F9, 35) (dual of [104, 40, 36]-code) [i]
84Linear OA(963, 101, F9, 35) (dual of [101, 38, 36]-code) [i]
85Linear OA(966, 109, F9, 35) (dual of [109, 43, 36]-code) [i]
86Linear OA(966, 103, F9, 36) (dual of [103, 37, 37]-code) [i]
87Linear OA(969, 111, F9, 36) (dual of [111, 42, 37]-code) [i]
88Linear OA(967, 107, F9, 36) (dual of [107, 40, 37]-code) [i]
89Linear OA(966, 104, F9, 36) (dual of [104, 38, 37]-code) [i]
90Linear OA(968, 109, F9, 36) (dual of [109, 41, 37]-code) [i]
91Linear OA(976, 122, F9, 39) (dual of [122, 46, 40]-code) [i]
92Linear OA(973, 119, F9, 37) (dual of [119, 46, 38]-code) [i]
93Linear OA(974, 119, F9, 39) (dual of [119, 45, 40]-code) [i]
94Linear OA(978, 124, F9, 40) (dual of [124, 46, 41]-code) [i]
95Linear OA(977, 119, F9, 40) (dual of [119, 42, 41]-code) [i]
96Linear OA(981, 127, F9, 41) (dual of [127, 46, 42]-code) [i]
97Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) [i]
98Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) [i]
99Linear OA(975, 118, F9, 40) (dual of [118, 43, 41]-code) [i]
100Linear OA(977, 122, F9, 40) (dual of [122, 45, 41]-code) [i]
101Linear OA(975, 119, F9, 40) (dual of [119, 44, 41]-code) [i]
102Linear OA(972, 115, F9, 39) (dual of [115, 43, 40]-code) [i]
103Linear OA(980, 125, F9, 41) (dual of [125, 45, 42]-code) [i]
104Linear OA(979, 123, F9, 41) (dual of [123, 44, 42]-code) [i]
105Linear OA(971, 112, F9, 39) (dual of [112, 41, 40]-code) [i]
106Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code) [i]
107Linear OA(982, 126, F9, 42) (dual of [126, 44, 43]-code) [i]
108Linear OA(969, 108, F9, 39) (dual of [108, 39, 40]-code) [i]
109Linear OA(968, 105, F9, 39) (dual of [105, 37, 40]-code) [i]
110Linear OA(974, 117, F9, 40) (dual of [117, 43, 41]-code) [i]
111Linear OA(974, 117, F9, 40) (dual of [117, 43, 41]-code) [i]
112Linear OA(973, 114, F9, 40) (dual of [114, 41, 41]-code) [i]
113Linear OA(978, 121, F9, 41) (dual of [121, 43, 42]-code) [i]
114Linear OA(976, 118, F9, 41) (dual of [118, 42, 42]-code) [i]
115Linear OA(972, 111, F9, 40) (dual of [111, 39, 41]-code) [i]
116Linear OA(981, 124, F9, 42) (dual of [124, 43, 43]-code) [i]
117Linear OA(970, 107, F9, 40) (dual of [107, 37, 41]-code) [i]
118Linear OA(975, 116, F9, 41) (dual of [116, 41, 42]-code) [i]
119Linear OA(975, 116, F9, 41) (dual of [116, 41, 42]-code) [i]
120Linear OA(974, 113, F9, 41) (dual of [113, 39, 42]-code) [i]
121Linear OA(978, 118, F9, 42) (dual of [118, 40, 43]-code) [i]
122Linear OA(983, 124, F9, 43) (dual of [124, 41, 44]-code) [i]
123Linear OA(968, 103, F9, 41) (dual of [103, 35, 42]-code) [i]
124Linear OA(977, 116, F9, 42) (dual of [116, 39, 43]-code) [i]
125Linear OA(977, 116, F9, 42) (dual of [116, 39, 43]-code) [i]
126Linear OA(976, 113, F9, 42) (dual of [113, 37, 43]-code) [i]
127Linear OA(980, 118, F9, 43) (dual of [118, 38, 44]-code) [i]
128Linear OA(971, 106, F9, 42) (dual of [106, 35, 43]-code) [i]
129Linear OA(968, 100, F9, 42) (dual of [100, 32, 43]-code) [i]
130Linear OA(979, 116, F9, 43) (dual of [116, 37, 44]-code) [i]
131Linear OA(979, 116, F9, 43) (dual of [116, 37, 44]-code) [i]
132Linear OA(974, 109, F9, 43) (dual of [109, 35, 44]-code) [i]
133Linear OA(971, 103, F9, 43) (dual of [103, 32, 44]-code) [i]
134Linear OA(970, 100, F9, 43) (dual of [100, 30, 44]-code) [i]
135Linear OA(974, 106, F9, 44) (dual of [106, 32, 45]-code) [i]
136Linear OA(973, 103, F9, 44) (dual of [103, 30, 45]-code) [i]
137Linear OA(972, 100, F9, 44) (dual of [100, 28, 45]-code) [i]
138Linear OA(976, 106, F9, 45) (dual of [106, 30, 46]-code) [i]
139Linear OA(975, 103, F9, 45) (dual of [103, 28, 46]-code) [i]
140Linear OA(983, 116, F9, 49) (dual of [116, 33, 50]-code) [i]
141Linear OA(987, 120, F9, 50) (dual of [120, 33, 51]-code) [i]
142Linear OA(986, 117, F9, 50) (dual of [117, 31, 51]-code) [i]
143Linear OA(990, 123, F9, 51) (dual of [123, 33, 52]-code) [i]
144Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code) [i]
145Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code) [i]
146Linear OA(984, 115, F9, 50) (dual of [115, 31, 51]-code) [i]
147Linear OA(984, 116, F9, 50) (dual of [116, 32, 51]-code) [i]
148Linear OA(981, 111, F9, 49) (dual of [111, 30, 50]-code) [i]
149Linear OA(977, 107, F9, 46) (dual of [107, 30, 47]-code) [i]
150Linear OA(979, 107, F9, 49) (dual of [107, 28, 50]-code) [i]
151Linear OA(991, 122, F9, 52) (dual of [122, 31, 53]-code) [i]
152Linear OA(978, 104, F9, 49) (dual of [104, 26, 50]-code) [i]
153Linear OA(985, 115, F9, 51) (dual of [115, 30, 52]-code) [i]
154Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code) [i]
155Linear OA(987, 115, F9, 52) (dual of [115, 28, 53]-code) [i]
156Linear OA(989, 115, F9, 53) (dual of [115, 26, 54]-code) [i]
157Linear OA(977, 98, F9, 52) (dual of [98, 21, 53]-code) [i]
158Linear OA(979, 98, F9, 53) (dual of [98, 19, 54]-code) [i]
159Linear OA(990, 112, F9, 59) (dual of [112, 22, 60]-code) [i]
160Linear OA(993, 115, F9, 60) (dual of [115, 22, 61]-code) [i]
161Linear OA(997, 119, F9, 61) (dual of [119, 22, 62]-code) [i]
162Linear OA(9101, 121, F9, 63) (dual of [121, 20, 64]-code) [i]
163Linear OA(9102, 121, F9, 64) (dual of [121, 19, 65]-code) [i]
164Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) [i]
165Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) [i]
166Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) [i]
167Linear OA(991, 111, F9, 60) (dual of [111, 20, 61]-code) [i]
168Linear OA(991, 112, F9, 60) (dual of [112, 21, 61]-code) [i]
169Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) [i]
170Linear OA(994, 114, F9, 61) (dual of [114, 20, 62]-code) [i]
171Linear OA(986, 103, F9, 59) (dual of [103, 17, 60]-code) [i]
172Linear OA(998, 118, F9, 62) (dual of [118, 20, 63]-code) [i]
173Linear OA(9102, 121, F9, 65) (dual of [121, 19, 66]-code) [i]
174Linear OA(9103, 121, F9, 66) (dual of [121, 18, 67]-code) [i]
175Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) [i]
176Linear OA(992, 111, F9, 61) (dual of [111, 19, 62]-code) [i]
177Linear OA(9104, 121, F9, 68) (dual of [121, 17, 69]-code) [i]
178Linear OA(994, 111, F9, 62) (dual of [111, 17, 63]-code) [i]
179Linear OA(984, 96, F9, 62) (dual of [96, 12, 63]-code) [i]
180Linear OA(995, 108, F9, 69) (dual of [108, 13, 70]-code) [i]
181Linear OA(991, 103, F9, 67) (dual of [103, 12, 68]-code) [i]
182Linear OA(996, 108, F9, 70) (dual of [108, 12, 71]-code) [i]
183Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) [i]
184Linear OA(986, 94, F9, 70) (dual of [94, 8, 71]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
185Linear OA(984, 95, F9, 62) (dual of [95, 11, 63]-code) [i]
186Linear OA(982, 95, F9, 61) (dual of [95, 13, 62]-code) [i]
187Linear OA(981, 96, F9, 60) (dual of [96, 15, 61]-code) [i]
188Linear OA(972, 99, F9, 44) (dual of [99, 27, 45]-code) [i]
189Linear OA(970, 99, F9, 43) (dual of [99, 29, 44]-code) [i]
190Linear OA(968, 99, F9, 42) (dual of [99, 31, 43]-code) [i]
191Linear OA(966, 99, F9, 41) (dual of [99, 33, 42]-code) [i]
192Linear OA(965, 100, F9, 40) (dual of [100, 35, 41]-code) [i]
193Linear OA(963, 100, F9, 35) (dual of [100, 37, 36]-code) [i]
194Linear OA(961, 100, F9, 34) (dual of [100, 39, 35]-code) [i]
195Linear OA(959, 100, F9, 33) (dual of [100, 41, 34]-code) [i]
196Linear OA(957, 100, F9, 32) (dual of [100, 43, 33]-code) [i]
197Linear OA(955, 100, F9, 31) (dual of [100, 45, 32]-code) [i]
198Linear OA(9110, 123, F9, 75) (dual of [123, 13, 76]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
199Linear OA(981, 107, F9, 50) (dual of [107, 26, 51]-code) [i]
200Linear OA(997, 103, F9, 80) (dual of [103, 6, 81]-code) [i]Construction X with De Boer–Brouwer Codes
201Linear OA(990, 94, F9, 80) (dual of [94, 4, 81]-code) [i]Construction X with Ovoid