Information on Result #606887

Linear OA(3211, 33, F32, 11) (dual of [33, 22, 12]-code or 33-arc in PG(10,32)), using extended Reed–Solomon code RSe(22,32)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3256, 1058, F32, 23) (dual of [1058, 1002, 24]-code) [i](u, u+v)-Construction
2Linear OA(3278, 32802, F32, 23) (dual of [32802, 32724, 24]-code) [i]
3Linear OA(32100, 1048610, F32, 23) (dual of [1048610, 1048510, 24]-code) [i]
4Linear OA(3254, 1057, F32, 22) (dual of [1057, 1003, 23]-code) [i]
5Linear OA(3275, 32801, F32, 22) (dual of [32801, 32726, 23]-code) [i]
6Linear OA(3296, 1048609, F32, 22) (dual of [1048609, 1048513, 23]-code) [i]
7OA(32105, 2097188, S32, 23) [i]
8OA(32101, 2097188, S32, 22) [i]
9Linear OA(3229, 1056, F32, 11) (dual of [1056, 1027, 12]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(3294, 1090, F32, 35) (dual of [1090, 996, 36]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(3295, 1101, F32, 35) (dual of [1101, 1006, 36]-code) [i]
12Linear OA(3297, 1121, F32, 35) (dual of [1121, 1024, 36]-code) [i]
13Linear OA(3292, 1091, F32, 34) (dual of [1091, 999, 35]-code) [i]
14Linear OA(3293, 1102, F32, 34) (dual of [1102, 1009, 35]-code) [i]
15Linear OA(3295, 1122, F32, 34) (dual of [1122, 1027, 35]-code) [i]
16Linear OA(3290, 1090, F32, 33) (dual of [1090, 1000, 34]-code) [i]
17Linear OA(3291, 1101, F32, 33) (dual of [1101, 1010, 34]-code) [i]
18Linear OA(3293, 1121, F32, 33) (dual of [1121, 1028, 34]-code) [i]
19Linear OA(3263, 1091, F32, 23) (dual of [1091, 1028, 24]-code) [i]
20Linear OA(3285, 32835, F32, 23) (dual of [32835, 32750, 24]-code) [i]
21Linear OA(32107, 1048643, F32, 23) (dual of [1048643, 1048536, 24]-code) [i]
22Linear OA(3261, 1090, F32, 22) (dual of [1090, 1029, 23]-code) [i]
23Linear OA(3282, 32834, F32, 22) (dual of [32834, 32752, 23]-code) [i]
24Linear OA(32103, 1048642, F32, 22) (dual of [1048642, 1048539, 23]-code) [i]
25Linear OA(32108, 1058, F32, 49) (dual of [1058, 950, 50]-code) [i]Construction X with Cyclic Codes
26Linear OA(32104, 1058, F32, 47) (dual of [1058, 954, 48]-code) [i]
27Linear OA(32100, 1058, F32, 45) (dual of [1058, 958, 46]-code) [i]
28Linear OA(3296, 1058, F32, 43) (dual of [1058, 962, 44]-code) [i]
29Linear OA(3292, 1058, F32, 41) (dual of [1058, 966, 42]-code) [i]
30Linear OA(3288, 1058, F32, 39) (dual of [1058, 970, 40]-code) [i]
31Linear OA(3284, 1058, F32, 37) (dual of [1058, 974, 38]-code) [i]
32Linear OA(3280, 1058, F32, 35) (dual of [1058, 978, 36]-code) [i]
33Linear OA(3276, 1058, F32, 33) (dual of [1058, 982, 34]-code) [i]
34Linear OA(3272, 1058, F32, 31) (dual of [1058, 986, 32]-code) [i]
35Linear OA(3268, 1058, F32, 29) (dual of [1058, 990, 30]-code) [i]
36Linear OA(3264, 1058, F32, 27) (dual of [1058, 994, 28]-code) [i]
37Linear OA(3260, 1058, F32, 25) (dual of [1058, 998, 26]-code) [i]
38Linear OA(3259, 1061, F32, 24) (dual of [1061, 1002, 25]-code) [i]Construction XX with Cyclic Codes
39Linear OA(3264, 1064, F32, 26) (dual of [1064, 1000, 27]-code) [i]
40Linear OA(3263, 1061, F32, 26) (dual of [1061, 998, 27]-code) [i]
41Linear OA(3266, 1064, F32, 27) (dual of [1064, 998, 28]-code) [i]
42Linear OA(3271, 1072, F32, 28) (dual of [1072, 1001, 29]-code) [i]
43Linear OA(3271, 1073, F32, 28) (dual of [1073, 1002, 29]-code) [i]
44Linear OA(3270, 1069, F32, 28) (dual of [1069, 999, 29]-code) [i]
45Linear OA(3270, 1070, F32, 28) (dual of [1070, 1000, 29]-code) [i]
46Linear OA(3269, 1067, F32, 28) (dual of [1067, 998, 29]-code) [i]
47Linear OA(3268, 1064, F32, 28) (dual of [1064, 996, 29]-code) [i]
48Linear OA(3267, 1061, F32, 28) (dual of [1061, 994, 29]-code) [i]
49Linear OA(3273, 1072, F32, 29) (dual of [1072, 999, 30]-code) [i]
50Linear OA(3273, 1073, F32, 29) (dual of [1073, 1000, 30]-code) [i]
51Linear OA(3272, 1070, F32, 29) (dual of [1070, 998, 30]-code) [i]
52Linear OA(3270, 1064, F32, 29) (dual of [1064, 994, 30]-code) [i]
53Linear OA(3276, 1075, F32, 30) (dual of [1075, 999, 31]-code) [i]
54Linear OA(3276, 1076, F32, 30) (dual of [1076, 1000, 31]-code) [i]
55Linear OA(3275, 1072, F32, 30) (dual of [1072, 997, 31]-code) [i]
56Linear OA(3275, 1073, F32, 30) (dual of [1073, 998, 31]-code) [i]
57Linear OA(3274, 1069, F32, 30) (dual of [1069, 995, 31]-code) [i]
58Linear OA(3274, 1070, F32, 30) (dual of [1070, 996, 31]-code) [i]
59Linear OA(3273, 1067, F32, 30) (dual of [1067, 994, 31]-code) [i]
60Linear OA(3272, 1064, F32, 30) (dual of [1064, 992, 31]-code) [i]
61Linear OA(3271, 1061, F32, 30) (dual of [1061, 990, 31]-code) [i]
62Linear OA(3278, 1075, F32, 31) (dual of [1075, 997, 32]-code) [i]
63Linear OA(3278, 1076, F32, 31) (dual of [1076, 998, 32]-code) [i]
64Linear OA(3277, 1072, F32, 31) (dual of [1072, 995, 32]-code) [i]
65Linear OA(3277, 1073, F32, 31) (dual of [1073, 996, 32]-code) [i]
66Linear OA(3276, 1069, F32, 31) (dual of [1069, 993, 32]-code) [i]
67Linear OA(3276, 1070, F32, 31) (dual of [1070, 994, 32]-code) [i]
68Linear OA(3274, 1064, F32, 31) (dual of [1064, 990, 32]-code) [i]
69Linear OA(3280, 1076, F32, 32) (dual of [1076, 996, 33]-code) [i]
70Linear OA(3279, 1073, F32, 32) (dual of [1073, 994, 33]-code) [i]
71Linear OA(3278, 1070, F32, 32) (dual of [1070, 992, 33]-code) [i]
72Linear OA(3277, 1067, F32, 32) (dual of [1067, 990, 33]-code) [i]
73Linear OA(3276, 1064, F32, 32) (dual of [1064, 988, 33]-code) [i]
74Linear OA(3275, 1061, F32, 32) (dual of [1061, 986, 33]-code) [i]
75Linear OA(3280, 1077, F32, 32) (dual of [1077, 997, 33]-code) [i]
76Linear OA(3279, 1074, F32, 32) (dual of [1074, 995, 33]-code) [i]
77Linear OA(3278, 1071, F32, 32) (dual of [1071, 993, 33]-code) [i]
78Linear OA(3277, 1068, F32, 32) (dual of [1068, 991, 33]-code) [i]
79Linear OA(3276, 1065, F32, 32) (dual of [1065, 989, 33]-code) [i]
80Linear OA(3275, 1062, F32, 32) (dual of [1062, 987, 33]-code) [i]
81Linear OA(3274, 1059, F32, 32) (dual of [1059, 985, 33]-code) [i]
82Linear OA(3281, 1076, F32, 33) (dual of [1076, 995, 34]-code) [i]
83Linear OA(3280, 1073, F32, 33) (dual of [1073, 993, 34]-code) [i]
84Linear OA(3279, 1070, F32, 33) (dual of [1070, 991, 34]-code) [i]
85Linear OA(3279, 1061, F32, 35) (dual of [1061, 982, 36]-code) [i]
86Linear OA(3282, 1064, F32, 36) (dual of [1064, 982, 37]-code) [i]
87Linear OA(3285, 1067, F32, 37) (dual of [1067, 982, 38]-code) [i]
88Linear OA(3288, 1070, F32, 38) (dual of [1070, 982, 39]-code) [i]
89Linear OA(3291, 1073, F32, 39) (dual of [1073, 982, 40]-code) [i]
90Linear OA(3294, 1076, F32, 40) (dual of [1076, 982, 41]-code) [i]
91Linear OA(32101, 1089, F32, 41) (dual of [1089, 988, 42]-code) [i]
92Linear OA(32101, 1089, F32, 41) (dual of [1089, 988, 42]-code) [i]
93Linear OA(3297, 1079, F32, 41) (dual of [1079, 982, 42]-code) [i]
94Linear OA(32103, 1089, F32, 42) (dual of [1089, 986, 43]-code) [i]
95Linear OA(32103, 1089, F32, 42) (dual of [1089, 986, 43]-code) [i]
96Linear OA(32100, 1082, F32, 42) (dual of [1082, 982, 43]-code) [i]
97Linear OA(32105, 1089, F32, 43) (dual of [1089, 984, 44]-code) [i]
98Linear OA(32105, 1089, F32, 43) (dual of [1089, 984, 44]-code) [i]
99Linear OA(32103, 1085, F32, 43) (dual of [1085, 982, 44]-code) [i]
100Linear OA(32107, 1089, F32, 44) (dual of [1089, 982, 45]-code) [i]
101Linear OA(32107, 1089, F32, 44) (dual of [1089, 982, 45]-code) [i]
102Linear OA(32106, 1088, F32, 44) (dual of [1088, 982, 45]-code) [i]
103Linear OA(32102, 1061, F32, 47) (dual of [1061, 959, 48]-code) [i]
104Linear OA(32104, 1061, F32, 48) (dual of [1061, 957, 49]-code) [i]
105Linear OA(32105, 1064, F32, 48) (dual of [1064, 959, 49]-code) [i]
106Linear OA(32107, 1064, F32, 49) (dual of [1064, 957, 50]-code) [i]
107Linear OA(32106, 1061, F32, 49) (dual of [1061, 955, 50]-code) [i]
108Linear OA(32109, 1069, F32, 49) (dual of [1069, 960, 50]-code) [i]
109Linear OA(32108, 1067, F32, 49) (dual of [1067, 959, 50]-code) [i]
110Linear OA(32110, 1067, F32, 50) (dual of [1067, 957, 51]-code) [i]
111Linear OA(32109, 1064, F32, 50) (dual of [1064, 955, 51]-code) [i]
112Linear OA(32108, 1061, F32, 50) (dual of [1061, 953, 51]-code) [i]
113Linear OA(32110, 1061, F32, 51) (dual of [1061, 951, 52]-code) [i]
114Linear OA(3274, 1057, F32, 33) (dual of [1057, 983, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
115Linear OA(3294, 1058, F32, 43) (dual of [1058, 964, 44]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
116Linear OA(3292, 1058, F32, 42) (dual of [1058, 966, 43]-code) [i]
117Linear OA(3290, 1058, F32, 41) (dual of [1058, 968, 42]-code) [i]
118Linear OA(3288, 1058, F32, 40) (dual of [1058, 970, 41]-code) [i]
119Linear OA(3286, 1058, F32, 39) (dual of [1058, 972, 40]-code) [i]
120Linear OA(3284, 1058, F32, 38) (dual of [1058, 974, 39]-code) [i]
121Linear OA(3282, 1058, F32, 37) (dual of [1058, 976, 38]-code) [i]
122Linear OA(3280, 1058, F32, 36) (dual of [1058, 978, 37]-code) [i]
123Linear OA(3278, 1058, F32, 35) (dual of [1058, 980, 36]-code) [i]
124Linear OA(3276, 1058, F32, 34) (dual of [1058, 982, 35]-code) [i]