Information on Result #606888

Linear OA(3212, 33, F32, 12) (dual of [33, 21, 13]-code or 33-arc in PG(11,32)), using extended Reed–Solomon code RSe(21,32)

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(3261, 1058, F32, 25) (dual of [1058, 997, 26]-code) [i](u, u+v)-Construction
2Linear OA(3285, 32802, F32, 25) (dual of [32802, 32717, 26]-code) [i]
3Linear OA(32109, 1048610, F32, 25) (dual of [1048610, 1048501, 26]-code) [i]
4Linear OA(3259, 1057, F32, 24) (dual of [1057, 998, 25]-code) [i]
5Linear OA(3282, 32801, F32, 24) (dual of [32801, 32719, 25]-code) [i]
6Linear OA(32105, 1048609, F32, 24) (dual of [1048609, 1048504, 25]-code) [i]
7OA(32110, 2097188, S32, 24) [i]
8Linear OOA(2192, 99, F2, 3, 64) (dual of [(99, 3), 105, 65]-NRT-code) [i]Concatenation of Two NRT-Codes
9Linear OA(32103, 1091, F32, 38) (dual of [1091, 988, 39]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(32104, 1102, F32, 38) (dual of [1102, 998, 39]-code) [i]
11Linear OA(32106, 1122, F32, 38) (dual of [1122, 1016, 39]-code) [i]
12Linear OA(32100, 1090, F32, 37) (dual of [1090, 990, 38]-code) [i]
13Linear OA(32101, 1101, F32, 37) (dual of [1101, 1000, 38]-code) [i]
14Linear OA(32103, 1121, F32, 37) (dual of [1121, 1018, 38]-code) [i]
15Linear OA(3298, 1091, F32, 36) (dual of [1091, 993, 37]-code) [i]
16Linear OA(3299, 1102, F32, 36) (dual of [1102, 1003, 37]-code) [i]
17Linear OA(32101, 1122, F32, 36) (dual of [1122, 1021, 37]-code) [i]
18Linear OA(3269, 1091, F32, 25) (dual of [1091, 1022, 26]-code) [i]
19Linear OA(3293, 32835, F32, 25) (dual of [32835, 32742, 26]-code) [i]
20Linear OA(3267, 1090, F32, 24) (dual of [1090, 1023, 25]-code) [i]
21Linear OA(3290, 32834, F32, 24) (dual of [32834, 32744, 25]-code) [i]
22Linear OA(3276, 1072, F32, 30) (dual of [1072, 996, 31]-code) [i]Construction XX with Cyclic Codes
23Linear OA(3276, 1073, F32, 30) (dual of [1073, 997, 31]-code) [i]
24Linear OA(3278, 1072, F32, 31) (dual of [1072, 994, 32]-code) [i]
25Linear OA(3278, 1073, F32, 31) (dual of [1073, 995, 32]-code) [i]
26Linear OA(3280, 1073, F32, 32) (dual of [1073, 993, 33]-code) [i]
27Linear OA(3280, 1074, F32, 32) (dual of [1074, 994, 33]-code) [i]
28Linear OA(3279, 1071, F32, 32) (dual of [1071, 992, 33]-code) [i]
29Linear OA(3281, 1073, F32, 33) (dual of [1073, 992, 34]-code) [i]
30Linear OA(3281, 1074, F32, 33) (dual of [1074, 993, 34]-code) [i]
31Linear OA(3280, 1071, F32, 33) (dual of [1071, 991, 34]-code) [i]
32Linear OA(3283, 1076, F32, 34) (dual of [1076, 993, 35]-code) [i]
33Linear OA(3282, 1073, F32, 34) (dual of [1073, 991, 35]-code) [i]
34Linear OA(3285, 1076, F32, 35) (dual of [1076, 991, 36]-code) [i]
35Linear OA(3284, 1073, F32, 35) (dual of [1073, 989, 36]-code) [i]
36Linear OA(3288, 1079, F32, 36) (dual of [1079, 991, 37]-code) [i]
37Linear OA(3287, 1076, F32, 36) (dual of [1076, 989, 37]-code) [i]
38Linear OA(3286, 1073, F32, 36) (dual of [1073, 987, 37]-code) [i]
39Linear OA(3281, 1061, F32, 36) (dual of [1061, 980, 37]-code) [i]
40Linear OA(3290, 1079, F32, 37) (dual of [1079, 989, 38]-code) [i]
41Linear OA(3289, 1076, F32, 37) (dual of [1076, 987, 38]-code) [i]
42Linear OA(3288, 1073, F32, 37) (dual of [1073, 985, 38]-code) [i]
43Linear OA(3283, 1061, F32, 37) (dual of [1061, 978, 38]-code) [i]
44Linear OA(3284, 1064, F32, 37) (dual of [1064, 980, 38]-code) [i]
45Linear OA(3293, 1082, F32, 38) (dual of [1082, 989, 39]-code) [i]
46Linear OA(3292, 1079, F32, 38) (dual of [1079, 987, 39]-code) [i]
47Linear OA(3291, 1076, F32, 38) (dual of [1076, 985, 39]-code) [i]
48Linear OA(3290, 1073, F32, 38) (dual of [1073, 983, 39]-code) [i]
49Linear OA(3285, 1061, F32, 38) (dual of [1061, 976, 39]-code) [i]
50Linear OA(3286, 1064, F32, 38) (dual of [1064, 978, 39]-code) [i]
51Linear OA(3288, 1069, F32, 38) (dual of [1069, 981, 39]-code) [i]
52Linear OA(3287, 1067, F32, 38) (dual of [1067, 980, 39]-code) [i]
53Linear OA(3295, 1082, F32, 39) (dual of [1082, 987, 40]-code) [i]
54Linear OA(3294, 1079, F32, 39) (dual of [1079, 985, 40]-code) [i]
55Linear OA(3293, 1076, F32, 39) (dual of [1076, 983, 40]-code) [i]
56Linear OA(3292, 1073, F32, 39) (dual of [1073, 981, 40]-code) [i]
57Linear OA(3287, 1061, F32, 39) (dual of [1061, 974, 40]-code) [i]
58Linear OA(3288, 1064, F32, 39) (dual of [1064, 976, 40]-code) [i]
59Linear OA(3290, 1069, F32, 39) (dual of [1069, 979, 40]-code) [i]
60Linear OA(3289, 1067, F32, 39) (dual of [1067, 978, 40]-code) [i]
61Linear OA(3291, 1072, F32, 39) (dual of [1072, 981, 40]-code) [i]
62Linear OA(3290, 1070, F32, 39) (dual of [1070, 980, 40]-code) [i]
63Linear OA(3298, 1085, F32, 40) (dual of [1085, 987, 41]-code) [i]
64Linear OA(3297, 1082, F32, 40) (dual of [1082, 985, 41]-code) [i]
65Linear OA(3296, 1079, F32, 40) (dual of [1079, 983, 41]-code) [i]
66Linear OA(3295, 1076, F32, 40) (dual of [1076, 981, 41]-code) [i]
67Linear OA(3289, 1061, F32, 40) (dual of [1061, 972, 41]-code) [i]
68Linear OA(3290, 1064, F32, 40) (dual of [1064, 974, 41]-code) [i]
69Linear OA(3292, 1069, F32, 40) (dual of [1069, 977, 41]-code) [i]
70Linear OA(3291, 1067, F32, 40) (dual of [1067, 976, 41]-code) [i]
71Linear OA(3293, 1072, F32, 40) (dual of [1072, 979, 41]-code) [i]
72Linear OA(3292, 1070, F32, 40) (dual of [1070, 978, 41]-code) [i]
73Linear OA(3294, 1075, F32, 40) (dual of [1075, 981, 41]-code) [i]
74Linear OA(3293, 1073, F32, 40) (dual of [1073, 980, 41]-code) [i]
75Linear OA(32100, 1085, F32, 41) (dual of [1085, 985, 42]-code) [i]
76Linear OA(3299, 1082, F32, 41) (dual of [1082, 983, 42]-code) [i]
77Linear OA(3298, 1079, F32, 41) (dual of [1079, 981, 42]-code) [i]
78Linear OA(3291, 1061, F32, 41) (dual of [1061, 970, 42]-code) [i]
79Linear OA(3292, 1064, F32, 41) (dual of [1064, 972, 42]-code) [i]
80Linear OA(3294, 1069, F32, 41) (dual of [1069, 975, 42]-code) [i]
81Linear OA(3293, 1067, F32, 41) (dual of [1067, 974, 42]-code) [i]
82Linear OA(3295, 1072, F32, 41) (dual of [1072, 977, 42]-code) [i]
83Linear OA(3294, 1070, F32, 41) (dual of [1070, 976, 42]-code) [i]
84Linear OA(3296, 1075, F32, 41) (dual of [1075, 979, 42]-code) [i]
85Linear OA(3295, 1073, F32, 41) (dual of [1073, 978, 42]-code) [i]
86Linear OA(3297, 1078, F32, 41) (dual of [1078, 981, 42]-code) [i]
87Linear OA(3296, 1076, F32, 41) (dual of [1076, 980, 42]-code) [i]
88Linear OA(32103, 1088, F32, 42) (dual of [1088, 985, 43]-code) [i]
89Linear OA(32102, 1085, F32, 42) (dual of [1085, 983, 43]-code) [i]
90Linear OA(32101, 1082, F32, 42) (dual of [1082, 981, 43]-code) [i]
91Linear OA(3293, 1061, F32, 42) (dual of [1061, 968, 43]-code) [i]
92Linear OA(3294, 1064, F32, 42) (dual of [1064, 970, 43]-code) [i]
93Linear OA(3296, 1069, F32, 42) (dual of [1069, 973, 43]-code) [i]
94Linear OA(3295, 1067, F32, 42) (dual of [1067, 972, 43]-code) [i]
95Linear OA(3297, 1072, F32, 42) (dual of [1072, 975, 43]-code) [i]
96Linear OA(3296, 1070, F32, 42) (dual of [1070, 974, 43]-code) [i]
97Linear OA(3298, 1075, F32, 42) (dual of [1075, 977, 43]-code) [i]
98Linear OA(3297, 1073, F32, 42) (dual of [1073, 976, 43]-code) [i]
99Linear OA(3299, 1078, F32, 42) (dual of [1078, 979, 43]-code) [i]
100Linear OA(3298, 1076, F32, 42) (dual of [1076, 978, 43]-code) [i]
101Linear OA(32100, 1081, F32, 42) (dual of [1081, 981, 43]-code) [i]
102Linear OA(3299, 1079, F32, 42) (dual of [1079, 980, 43]-code) [i]
103Linear OA(32105, 1088, F32, 43) (dual of [1088, 983, 44]-code) [i]
104Linear OA(32104, 1085, F32, 43) (dual of [1085, 981, 44]-code) [i]
105Linear OA(3295, 1061, F32, 43) (dual of [1061, 966, 44]-code) [i]
106Linear OA(3296, 1064, F32, 43) (dual of [1064, 968, 44]-code) [i]
107Linear OA(3298, 1069, F32, 43) (dual of [1069, 971, 44]-code) [i]
108Linear OA(3297, 1067, F32, 43) (dual of [1067, 970, 44]-code) [i]
109Linear OA(3299, 1072, F32, 43) (dual of [1072, 973, 44]-code) [i]
110Linear OA(3298, 1070, F32, 43) (dual of [1070, 972, 44]-code) [i]
111Linear OA(32100, 1075, F32, 43) (dual of [1075, 975, 44]-code) [i]
112Linear OA(3299, 1073, F32, 43) (dual of [1073, 974, 44]-code) [i]
113Linear OA(32101, 1078, F32, 43) (dual of [1078, 977, 44]-code) [i]
114Linear OA(32100, 1076, F32, 43) (dual of [1076, 976, 44]-code) [i]
115Linear OA(32102, 1081, F32, 43) (dual of [1081, 979, 44]-code) [i]
116Linear OA(32101, 1079, F32, 43) (dual of [1079, 978, 44]-code) [i]
117Linear OA(32103, 1084, F32, 43) (dual of [1084, 981, 44]-code) [i]
118Linear OA(32102, 1082, F32, 43) (dual of [1082, 980, 44]-code) [i]
119Linear OA(32107, 1088, F32, 44) (dual of [1088, 981, 45]-code) [i]
120Linear OA(3297, 1061, F32, 44) (dual of [1061, 964, 45]-code) [i]
121Linear OA(3298, 1064, F32, 44) (dual of [1064, 966, 45]-code) [i]
122Linear OA(32100, 1069, F32, 44) (dual of [1069, 969, 45]-code) [i]
123Linear OA(3299, 1067, F32, 44) (dual of [1067, 968, 45]-code) [i]
124Linear OA(32101, 1072, F32, 44) (dual of [1072, 971, 45]-code) [i]
125Linear OA(32100, 1070, F32, 44) (dual of [1070, 970, 45]-code) [i]
126Linear OA(32102, 1075, F32, 44) (dual of [1075, 973, 45]-code) [i]
127Linear OA(32101, 1073, F32, 44) (dual of [1073, 972, 45]-code) [i]
128Linear OA(32103, 1078, F32, 44) (dual of [1078, 975, 45]-code) [i]
129Linear OA(32102, 1076, F32, 44) (dual of [1076, 974, 45]-code) [i]
130Linear OA(32104, 1081, F32, 44) (dual of [1081, 977, 45]-code) [i]
131Linear OA(32103, 1079, F32, 44) (dual of [1079, 976, 45]-code) [i]
132Linear OA(32105, 1084, F32, 44) (dual of [1084, 979, 45]-code) [i]
133Linear OA(32104, 1082, F32, 44) (dual of [1082, 978, 45]-code) [i]
134Linear OA(32106, 1087, F32, 44) (dual of [1087, 981, 45]-code) [i]
135Linear OA(32105, 1085, F32, 44) (dual of [1085, 980, 45]-code) [i]
136Linear OA(3299, 1061, F32, 45) (dual of [1061, 962, 46]-code) [i]
137Linear OA(32100, 1064, F32, 45) (dual of [1064, 964, 46]-code) [i]
138Linear OA(32102, 1069, F32, 45) (dual of [1069, 967, 46]-code) [i]
139Linear OA(32101, 1067, F32, 45) (dual of [1067, 966, 46]-code) [i]
140Linear OA(32103, 1072, F32, 45) (dual of [1072, 969, 46]-code) [i]
141Linear OA(32102, 1070, F32, 45) (dual of [1070, 968, 46]-code) [i]
142Linear OA(32104, 1075, F32, 45) (dual of [1075, 971, 46]-code) [i]
143Linear OA(32103, 1073, F32, 45) (dual of [1073, 970, 46]-code) [i]
144Linear OA(32105, 1078, F32, 45) (dual of [1078, 973, 46]-code) [i]
145Linear OA(32104, 1076, F32, 45) (dual of [1076, 972, 46]-code) [i]
146Linear OA(32106, 1081, F32, 45) (dual of [1081, 975, 46]-code) [i]
147Linear OA(32105, 1079, F32, 45) (dual of [1079, 974, 46]-code) [i]
148Linear OA(32107, 1084, F32, 45) (dual of [1084, 977, 46]-code) [i]
149Linear OA(32106, 1082, F32, 45) (dual of [1082, 976, 46]-code) [i]
150Linear OA(32108, 1087, F32, 45) (dual of [1087, 979, 46]-code) [i]
151Linear OA(32107, 1085, F32, 45) (dual of [1085, 978, 46]-code) [i]
152Linear OA(32108, 1088, F32, 45) (dual of [1088, 980, 46]-code) [i]
153Linear OA(32102, 1064, F32, 46) (dual of [1064, 962, 47]-code) [i]
154Linear OA(32104, 1069, F32, 46) (dual of [1069, 965, 47]-code) [i]
155Linear OA(32103, 1067, F32, 46) (dual of [1067, 964, 47]-code) [i]
156Linear OA(32105, 1072, F32, 46) (dual of [1072, 967, 47]-code) [i]
157Linear OA(32104, 1070, F32, 46) (dual of [1070, 966, 47]-code) [i]
158Linear OA(32106, 1075, F32, 46) (dual of [1075, 969, 47]-code) [i]
159Linear OA(32105, 1073, F32, 46) (dual of [1073, 968, 47]-code) [i]
160Linear OA(32107, 1078, F32, 46) (dual of [1078, 971, 47]-code) [i]
161Linear OA(32106, 1076, F32, 46) (dual of [1076, 970, 47]-code) [i]
162Linear OA(32108, 1081, F32, 46) (dual of [1081, 973, 47]-code) [i]
163Linear OA(32107, 1079, F32, 46) (dual of [1079, 972, 47]-code) [i]
164Linear OA(32109, 1084, F32, 46) (dual of [1084, 975, 47]-code) [i]
165Linear OA(32108, 1082, F32, 46) (dual of [1082, 974, 47]-code) [i]
166Linear OA(32110, 1087, F32, 46) (dual of [1087, 977, 47]-code) [i]
167Linear OA(32109, 1085, F32, 46) (dual of [1085, 976, 47]-code) [i]
168Linear OA(32110, 1088, F32, 46) (dual of [1088, 978, 47]-code) [i]
169Linear OA(32106, 1069, F32, 47) (dual of [1069, 963, 48]-code) [i]
170Linear OA(32105, 1067, F32, 47) (dual of [1067, 962, 48]-code) [i]
171Linear OA(32107, 1072, F32, 47) (dual of [1072, 965, 48]-code) [i]
172Linear OA(32106, 1070, F32, 47) (dual of [1070, 964, 48]-code) [i]
173Linear OA(32108, 1075, F32, 47) (dual of [1075, 967, 48]-code) [i]
174Linear OA(32107, 1073, F32, 47) (dual of [1073, 966, 48]-code) [i]
175Linear OA(32109, 1078, F32, 47) (dual of [1078, 969, 48]-code) [i]
176Linear OA(32108, 1076, F32, 47) (dual of [1076, 968, 48]-code) [i]
177Linear OA(32110, 1081, F32, 47) (dual of [1081, 971, 48]-code) [i]
178Linear OA(32109, 1079, F32, 47) (dual of [1079, 970, 48]-code) [i]
179Linear OA(32110, 1082, F32, 47) (dual of [1082, 972, 48]-code) [i]
180Linear OA(32109, 1072, F32, 48) (dual of [1072, 963, 49]-code) [i]
181Linear OA(32108, 1070, F32, 48) (dual of [1070, 962, 49]-code) [i]
182Linear OA(32110, 1075, F32, 48) (dual of [1075, 965, 49]-code) [i]
183Linear OA(32109, 1073, F32, 48) (dual of [1073, 964, 49]-code) [i]
184Linear OA(32110, 1076, F32, 48) (dual of [1076, 966, 49]-code) [i]