Information on Result #618078
Linear OA(3211, 33, F32, 11) (dual of [33, 22, 12]-code or 33-arc in PG(10,32)), using the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3256, 1058, F32, 23) (dual of [1058, 1002, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3278, 32802, F32, 23) (dual of [32802, 32724, 24]-code) | [i] | ||
| 3 | Linear OA(32100, 1048610, F32, 23) (dual of [1048610, 1048510, 24]-code) | [i] | ||
| 4 | Linear OA(3254, 1057, F32, 22) (dual of [1057, 1003, 23]-code) | [i] | ||
| 5 | Linear OA(3275, 32801, F32, 22) (dual of [32801, 32726, 23]-code) | [i] | ||
| 6 | Linear OA(3296, 1048609, F32, 22) (dual of [1048609, 1048513, 23]-code) | [i] | ||
| 7 | OA(32105, 2097188, S32, 23) | [i] | ||
| 8 | OA(32101, 2097188, S32, 22) | [i] | ||
| 9 | Linear OA(3229, 1056, F32, 11) (dual of [1056, 1027, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3294, 1090, F32, 35) (dual of [1090, 996, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3295, 1101, F32, 35) (dual of [1101, 1006, 36]-code) | [i] | ||
| 12 | Linear OA(3297, 1121, F32, 35) (dual of [1121, 1024, 36]-code) | [i] | ||
| 13 | Linear OA(3292, 1091, F32, 34) (dual of [1091, 999, 35]-code) | [i] | ||
| 14 | Linear OA(3293, 1102, F32, 34) (dual of [1102, 1009, 35]-code) | [i] | ||
| 15 | Linear OA(3295, 1122, F32, 34) (dual of [1122, 1027, 35]-code) | [i] | ||
| 16 | Linear OA(3290, 1090, F32, 33) (dual of [1090, 1000, 34]-code) | [i] | ||
| 17 | Linear OA(3291, 1101, F32, 33) (dual of [1101, 1010, 34]-code) | [i] | ||
| 18 | Linear OA(3293, 1121, F32, 33) (dual of [1121, 1028, 34]-code) | [i] | ||
| 19 | Linear OA(3263, 1091, F32, 23) (dual of [1091, 1028, 24]-code) | [i] | ||
| 20 | Linear OA(3285, 32835, F32, 23) (dual of [32835, 32750, 24]-code) | [i] | ||
| 21 | Linear OA(32107, 1048643, F32, 23) (dual of [1048643, 1048536, 24]-code) | [i] | ||
| 22 | Linear OA(3261, 1090, F32, 22) (dual of [1090, 1029, 23]-code) | [i] | ||
| 23 | Linear OA(3282, 32834, F32, 22) (dual of [32834, 32752, 23]-code) | [i] | ||
| 24 | Linear OA(32103, 1048642, F32, 22) (dual of [1048642, 1048539, 23]-code) | [i] | ||
| 25 | Linear OA(3215, 38, F32, 11) (dual of [38, 23, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 26 | Linear OA(32108, 1058, F32, 49) (dual of [1058, 950, 50]-code) | [i] | ||
| 27 | Linear OA(32104, 1058, F32, 47) (dual of [1058, 954, 48]-code) | [i] | ||
| 28 | Linear OA(32100, 1058, F32, 45) (dual of [1058, 958, 46]-code) | [i] | ||
| 29 | Linear OA(3296, 1058, F32, 43) (dual of [1058, 962, 44]-code) | [i] | ||
| 30 | Linear OA(3292, 1058, F32, 41) (dual of [1058, 966, 42]-code) | [i] | ||
| 31 | Linear OA(3288, 1058, F32, 39) (dual of [1058, 970, 40]-code) | [i] | ||
| 32 | Linear OA(3284, 1058, F32, 37) (dual of [1058, 974, 38]-code) | [i] | ||
| 33 | Linear OA(3280, 1058, F32, 35) (dual of [1058, 978, 36]-code) | [i] | ||
| 34 | Linear OA(3276, 1058, F32, 33) (dual of [1058, 982, 34]-code) | [i] | ||
| 35 | Linear OA(3272, 1058, F32, 31) (dual of [1058, 986, 32]-code) | [i] | ||
| 36 | Linear OA(3268, 1058, F32, 29) (dual of [1058, 990, 30]-code) | [i] | ||
| 37 | Linear OA(3264, 1058, F32, 27) (dual of [1058, 994, 28]-code) | [i] | ||
| 38 | Linear OA(3260, 1058, F32, 25) (dual of [1058, 998, 26]-code) | [i] | ||
| 39 | Linear OA(3259, 1061, F32, 24) (dual of [1061, 1002, 25]-code) | [i] | Construction XX with Cyclic Codes | |
| 40 | Linear OA(3264, 1064, F32, 26) (dual of [1064, 1000, 27]-code) | [i] | ||
| 41 | Linear OA(3263, 1061, F32, 26) (dual of [1061, 998, 27]-code) | [i] | ||
| 42 | Linear OA(3266, 1064, F32, 27) (dual of [1064, 998, 28]-code) | [i] | ||
| 43 | Linear OA(3271, 1072, F32, 28) (dual of [1072, 1001, 29]-code) | [i] | ||
| 44 | Linear OA(3271, 1073, F32, 28) (dual of [1073, 1002, 29]-code) | [i] | ||
| 45 | Linear OA(3270, 1069, F32, 28) (dual of [1069, 999, 29]-code) | [i] | ||
| 46 | Linear OA(3270, 1070, F32, 28) (dual of [1070, 1000, 29]-code) | [i] | ||
| 47 | Linear OA(3269, 1067, F32, 28) (dual of [1067, 998, 29]-code) | [i] | ||
| 48 | Linear OA(3268, 1064, F32, 28) (dual of [1064, 996, 29]-code) | [i] | ||
| 49 | Linear OA(3267, 1061, F32, 28) (dual of [1061, 994, 29]-code) | [i] | ||
| 50 | Linear OA(3273, 1072, F32, 29) (dual of [1072, 999, 30]-code) | [i] | ||
| 51 | Linear OA(3273, 1073, F32, 29) (dual of [1073, 1000, 30]-code) | [i] | ||
| 52 | Linear OA(3272, 1070, F32, 29) (dual of [1070, 998, 30]-code) | [i] | ||
| 53 | Linear OA(3270, 1064, F32, 29) (dual of [1064, 994, 30]-code) | [i] | ||
| 54 | Linear OA(3276, 1075, F32, 30) (dual of [1075, 999, 31]-code) | [i] | ||
| 55 | Linear OA(3276, 1076, F32, 30) (dual of [1076, 1000, 31]-code) | [i] | ||
| 56 | Linear OA(3275, 1072, F32, 30) (dual of [1072, 997, 31]-code) | [i] | ||
| 57 | Linear OA(3275, 1073, F32, 30) (dual of [1073, 998, 31]-code) | [i] | ||
| 58 | Linear OA(3274, 1069, F32, 30) (dual of [1069, 995, 31]-code) | [i] | ||
| 59 | Linear OA(3274, 1070, F32, 30) (dual of [1070, 996, 31]-code) | [i] | ||
| 60 | Linear OA(3273, 1067, F32, 30) (dual of [1067, 994, 31]-code) | [i] | ||
| 61 | Linear OA(3272, 1064, F32, 30) (dual of [1064, 992, 31]-code) | [i] | ||
| 62 | Linear OA(3271, 1061, F32, 30) (dual of [1061, 990, 31]-code) | [i] | ||
| 63 | Linear OA(3278, 1075, F32, 31) (dual of [1075, 997, 32]-code) | [i] | ||
| 64 | Linear OA(3278, 1076, F32, 31) (dual of [1076, 998, 32]-code) | [i] | ||
| 65 | Linear OA(3277, 1072, F32, 31) (dual of [1072, 995, 32]-code) | [i] | ||
| 66 | Linear OA(3277, 1073, F32, 31) (dual of [1073, 996, 32]-code) | [i] | ||
| 67 | Linear OA(3276, 1069, F32, 31) (dual of [1069, 993, 32]-code) | [i] | ||
| 68 | Linear OA(3276, 1070, F32, 31) (dual of [1070, 994, 32]-code) | [i] | ||
| 69 | Linear OA(3274, 1064, F32, 31) (dual of [1064, 990, 32]-code) | [i] | ||
| 70 | Linear OA(3280, 1076, F32, 32) (dual of [1076, 996, 33]-code) | [i] | ||
| 71 | Linear OA(3279, 1073, F32, 32) (dual of [1073, 994, 33]-code) | [i] | ||
| 72 | Linear OA(3278, 1070, F32, 32) (dual of [1070, 992, 33]-code) | [i] | ||
| 73 | Linear OA(3277, 1067, F32, 32) (dual of [1067, 990, 33]-code) | [i] | ||
| 74 | Linear OA(3276, 1064, F32, 32) (dual of [1064, 988, 33]-code) | [i] | ||
| 75 | Linear OA(3275, 1061, F32, 32) (dual of [1061, 986, 33]-code) | [i] | ||
| 76 | Linear OA(3280, 1077, F32, 32) (dual of [1077, 997, 33]-code) | [i] | ||
| 77 | Linear OA(3279, 1074, F32, 32) (dual of [1074, 995, 33]-code) | [i] | ||
| 78 | Linear OA(3278, 1071, F32, 32) (dual of [1071, 993, 33]-code) | [i] | ||
| 79 | Linear OA(3277, 1068, F32, 32) (dual of [1068, 991, 33]-code) | [i] | ||
| 80 | Linear OA(3276, 1065, F32, 32) (dual of [1065, 989, 33]-code) | [i] | ||
| 81 | Linear OA(3275, 1062, F32, 32) (dual of [1062, 987, 33]-code) | [i] | ||
| 82 | Linear OA(3274, 1059, F32, 32) (dual of [1059, 985, 33]-code) | [i] | ||
| 83 | Linear OA(3281, 1076, F32, 33) (dual of [1076, 995, 34]-code) | [i] | ||
| 84 | Linear OA(3280, 1073, F32, 33) (dual of [1073, 993, 34]-code) | [i] | ||
| 85 | Linear OA(3279, 1070, F32, 33) (dual of [1070, 991, 34]-code) | [i] | ||
| 86 | Linear OA(3279, 1061, F32, 35) (dual of [1061, 982, 36]-code) | [i] | ||
| 87 | Linear OA(3282, 1064, F32, 36) (dual of [1064, 982, 37]-code) | [i] | ||
| 88 | Linear OA(3285, 1067, F32, 37) (dual of [1067, 982, 38]-code) | [i] | ||
| 89 | Linear OA(3288, 1070, F32, 38) (dual of [1070, 982, 39]-code) | [i] | ||
| 90 | Linear OA(3291, 1073, F32, 39) (dual of [1073, 982, 40]-code) | [i] | ||
| 91 | Linear OA(3294, 1076, F32, 40) (dual of [1076, 982, 41]-code) | [i] | ||
| 92 | Linear OA(32101, 1089, F32, 41) (dual of [1089, 988, 42]-code) | [i] | ||
| 93 | Linear OA(32101, 1089, F32, 41) (dual of [1089, 988, 42]-code) | [i] | ||
| 94 | Linear OA(3297, 1079, F32, 41) (dual of [1079, 982, 42]-code) | [i] | ||
| 95 | Linear OA(32103, 1089, F32, 42) (dual of [1089, 986, 43]-code) | [i] | ||
| 96 | Linear OA(32103, 1089, F32, 42) (dual of [1089, 986, 43]-code) | [i] | ||
| 97 | Linear OA(32100, 1082, F32, 42) (dual of [1082, 982, 43]-code) | [i] | ||
| 98 | Linear OA(32105, 1089, F32, 43) (dual of [1089, 984, 44]-code) | [i] | ||
| 99 | Linear OA(32105, 1089, F32, 43) (dual of [1089, 984, 44]-code) | [i] | ||
| 100 | Linear OA(32103, 1085, F32, 43) (dual of [1085, 982, 44]-code) | [i] | ||
| 101 | Linear OA(32107, 1089, F32, 44) (dual of [1089, 982, 45]-code) | [i] | ||
| 102 | Linear OA(32107, 1089, F32, 44) (dual of [1089, 982, 45]-code) | [i] | ||
| 103 | Linear OA(32106, 1088, F32, 44) (dual of [1088, 982, 45]-code) | [i] | ||
| 104 | Linear OA(32102, 1061, F32, 47) (dual of [1061, 959, 48]-code) | [i] | ||
| 105 | Linear OA(32104, 1061, F32, 48) (dual of [1061, 957, 49]-code) | [i] | ||
| 106 | Linear OA(32105, 1064, F32, 48) (dual of [1064, 959, 49]-code) | [i] | ||
| 107 | Linear OA(32107, 1064, F32, 49) (dual of [1064, 957, 50]-code) | [i] | ||
| 108 | Linear OA(32106, 1061, F32, 49) (dual of [1061, 955, 50]-code) | [i] | ||
| 109 | Linear OA(32109, 1069, F32, 49) (dual of [1069, 960, 50]-code) | [i] | ||
| 110 | Linear OA(32108, 1067, F32, 49) (dual of [1067, 959, 50]-code) | [i] | ||
| 111 | Linear OA(32110, 1067, F32, 50) (dual of [1067, 957, 51]-code) | [i] | ||
| 112 | Linear OA(32109, 1064, F32, 50) (dual of [1064, 955, 51]-code) | [i] | ||
| 113 | Linear OA(32108, 1061, F32, 50) (dual of [1061, 953, 51]-code) | [i] | ||
| 114 | Linear OA(32110, 1061, F32, 51) (dual of [1061, 951, 52]-code) | [i] | ||
| 115 | Linear OA(3274, 1057, F32, 33) (dual of [1057, 983, 34]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 116 | Linear OA(3294, 1058, F32, 43) (dual of [1058, 964, 44]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 117 | Linear OA(3292, 1058, F32, 42) (dual of [1058, 966, 43]-code) | [i] | ||
| 118 | Linear OA(3290, 1058, F32, 41) (dual of [1058, 968, 42]-code) | [i] | ||
| 119 | Linear OA(3288, 1058, F32, 40) (dual of [1058, 970, 41]-code) | [i] | ||
| 120 | Linear OA(3286, 1058, F32, 39) (dual of [1058, 972, 40]-code) | [i] | ||
| 121 | Linear OA(3284, 1058, F32, 38) (dual of [1058, 974, 39]-code) | [i] | ||
| 122 | Linear OA(3282, 1058, F32, 37) (dual of [1058, 976, 38]-code) | [i] | ||
| 123 | Linear OA(3280, 1058, F32, 36) (dual of [1058, 978, 37]-code) | [i] | ||
| 124 | Linear OA(3278, 1058, F32, 35) (dual of [1058, 980, 36]-code) | [i] | ||
| 125 | Linear OA(3276, 1058, F32, 34) (dual of [1058, 982, 35]-code) | [i] | ||