Information on Result #618101
Linear OA(3213, 33, F32, 13) (dual of [33, 20, 14]-code or 33-arc in PG(12,32)), using the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(3266, 1058, F32, 27) (dual of [1058, 992, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3292, 32802, F32, 27) (dual of [32802, 32710, 28]-code) | [i] | ||
| 3 | Linear OA(3264, 1057, F32, 26) (dual of [1057, 993, 27]-code) | [i] | ||
| 4 | Linear OA(3289, 32801, F32, 26) (dual of [32801, 32712, 27]-code) | [i] | ||
| 5 | Linear OA(298, 198, F2, 27) (dual of [198, 100, 28]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OOA(2197, 99, F2, 3, 69) (dual of [(99, 3), 100, 70]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 7 | Linear OA(32109, 1091, F32, 40) (dual of [1091, 982, 41]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(32110, 1102, F32, 40) (dual of [1102, 992, 41]-code) | [i] | ||
| 9 | Linear OA(32106, 1090, F32, 39) (dual of [1090, 984, 40]-code) | [i] | ||
| 10 | Linear OA(32107, 1101, F32, 39) (dual of [1101, 994, 40]-code) | [i] | ||
| 11 | Linear OA(32109, 1121, F32, 39) (dual of [1121, 1012, 40]-code) | [i] | ||
| 12 | Linear OA(3275, 1091, F32, 27) (dual of [1091, 1016, 28]-code) | [i] | ||
| 13 | Linear OA(32101, 32835, F32, 27) (dual of [32835, 32734, 28]-code) | [i] | ||
| 14 | Linear OA(3272, 1090, F32, 26) (dual of [1090, 1018, 27]-code) | [i] | ||
| 15 | Linear OA(3297, 32834, F32, 26) (dual of [32834, 32737, 27]-code) | [i] | ||
| 16 | Linear OA(3233, 2357, F32, 13) (dual of [2357, 2324, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(3217, 38, F32, 13) (dual of [38, 21, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(3292, 1072, F32, 39) (dual of [1072, 980, 40]-code) | [i] | Construction XX with Cyclic Codes | |
| 19 | Linear OA(3294, 1072, F32, 40) (dual of [1072, 978, 41]-code) | [i] | ||
| 20 | Linear OA(3295, 1075, F32, 40) (dual of [1075, 980, 41]-code) | [i] | ||
| 21 | Linear OA(3294, 1073, F32, 40) (dual of [1073, 979, 41]-code) | [i] | ||
| 22 | Linear OA(3296, 1072, F32, 41) (dual of [1072, 976, 42]-code) | [i] | ||
| 23 | Linear OA(3297, 1075, F32, 41) (dual of [1075, 978, 42]-code) | [i] | ||
| 24 | Linear OA(3296, 1073, F32, 41) (dual of [1073, 977, 42]-code) | [i] | ||
| 25 | Linear OA(3298, 1078, F32, 41) (dual of [1078, 980, 42]-code) | [i] | ||
| 26 | Linear OA(3297, 1076, F32, 41) (dual of [1076, 979, 42]-code) | [i] | ||
| 27 | Linear OA(3298, 1072, F32, 42) (dual of [1072, 974, 43]-code) | [i] | ||
| 28 | Linear OA(3299, 1075, F32, 42) (dual of [1075, 976, 43]-code) | [i] | ||
| 29 | Linear OA(3298, 1073, F32, 42) (dual of [1073, 975, 43]-code) | [i] | ||
| 30 | Linear OA(32100, 1078, F32, 42) (dual of [1078, 978, 43]-code) | [i] | ||
| 31 | Linear OA(3299, 1076, F32, 42) (dual of [1076, 977, 43]-code) | [i] | ||
| 32 | Linear OA(32101, 1081, F32, 42) (dual of [1081, 980, 43]-code) | [i] | ||
| 33 | Linear OA(32100, 1079, F32, 42) (dual of [1079, 979, 43]-code) | [i] | ||
| 34 | Linear OA(32100, 1072, F32, 43) (dual of [1072, 972, 44]-code) | [i] | ||
| 35 | Linear OA(32101, 1075, F32, 43) (dual of [1075, 974, 44]-code) | [i] | ||
| 36 | Linear OA(32100, 1073, F32, 43) (dual of [1073, 973, 44]-code) | [i] | ||
| 37 | Linear OA(32102, 1078, F32, 43) (dual of [1078, 976, 44]-code) | [i] | ||
| 38 | Linear OA(32101, 1076, F32, 43) (dual of [1076, 975, 44]-code) | [i] | ||
| 39 | Linear OA(32103, 1081, F32, 43) (dual of [1081, 978, 44]-code) | [i] | ||
| 40 | Linear OA(32102, 1079, F32, 43) (dual of [1079, 977, 44]-code) | [i] | ||
| 41 | Linear OA(32104, 1084, F32, 43) (dual of [1084, 980, 44]-code) | [i] | ||
| 42 | Linear OA(32103, 1082, F32, 43) (dual of [1082, 979, 44]-code) | [i] | ||
| 43 | Linear OA(32102, 1072, F32, 44) (dual of [1072, 970, 45]-code) | [i] | ||
| 44 | Linear OA(32103, 1075, F32, 44) (dual of [1075, 972, 45]-code) | [i] | ||
| 45 | Linear OA(32102, 1073, F32, 44) (dual of [1073, 971, 45]-code) | [i] | ||
| 46 | Linear OA(32104, 1078, F32, 44) (dual of [1078, 974, 45]-code) | [i] | ||
| 47 | Linear OA(32103, 1076, F32, 44) (dual of [1076, 973, 45]-code) | [i] | ||
| 48 | Linear OA(32105, 1081, F32, 44) (dual of [1081, 976, 45]-code) | [i] | ||
| 49 | Linear OA(32104, 1079, F32, 44) (dual of [1079, 975, 45]-code) | [i] | ||
| 50 | Linear OA(32106, 1084, F32, 44) (dual of [1084, 978, 45]-code) | [i] | ||
| 51 | Linear OA(32105, 1082, F32, 44) (dual of [1082, 977, 45]-code) | [i] | ||
| 52 | Linear OA(32107, 1087, F32, 44) (dual of [1087, 980, 45]-code) | [i] | ||
| 53 | Linear OA(32106, 1085, F32, 44) (dual of [1085, 979, 45]-code) | [i] | ||
| 54 | Linear OA(32104, 1072, F32, 45) (dual of [1072, 968, 46]-code) | [i] | ||
| 55 | Linear OA(32105, 1075, F32, 45) (dual of [1075, 970, 46]-code) | [i] | ||
| 56 | Linear OA(32104, 1073, F32, 45) (dual of [1073, 969, 46]-code) | [i] | ||
| 57 | Linear OA(32106, 1078, F32, 45) (dual of [1078, 972, 46]-code) | [i] | ||
| 58 | Linear OA(32105, 1076, F32, 45) (dual of [1076, 971, 46]-code) | [i] | ||
| 59 | Linear OA(32107, 1081, F32, 45) (dual of [1081, 974, 46]-code) | [i] | ||
| 60 | Linear OA(32106, 1079, F32, 45) (dual of [1079, 973, 46]-code) | [i] | ||
| 61 | Linear OA(32108, 1084, F32, 45) (dual of [1084, 976, 46]-code) | [i] | ||
| 62 | Linear OA(32107, 1082, F32, 45) (dual of [1082, 975, 46]-code) | [i] | ||
| 63 | Linear OA(32109, 1087, F32, 45) (dual of [1087, 978, 46]-code) | [i] | ||
| 64 | Linear OA(32108, 1085, F32, 45) (dual of [1085, 977, 46]-code) | [i] | ||
| 65 | Linear OA(32109, 1088, F32, 45) (dual of [1088, 979, 46]-code) | [i] | ||
| 66 | Linear OA(32106, 1072, F32, 46) (dual of [1072, 966, 47]-code) | [i] | ||
| 67 | Linear OA(32107, 1075, F32, 46) (dual of [1075, 968, 47]-code) | [i] | ||
| 68 | Linear OA(32106, 1073, F32, 46) (dual of [1073, 967, 47]-code) | [i] | ||
| 69 | Linear OA(32108, 1078, F32, 46) (dual of [1078, 970, 47]-code) | [i] | ||
| 70 | Linear OA(32107, 1076, F32, 46) (dual of [1076, 969, 47]-code) | [i] | ||
| 71 | Linear OA(32109, 1081, F32, 46) (dual of [1081, 972, 47]-code) | [i] | ||
| 72 | Linear OA(32108, 1079, F32, 46) (dual of [1079, 971, 47]-code) | [i] | ||
| 73 | Linear OA(32110, 1084, F32, 46) (dual of [1084, 974, 47]-code) | [i] | ||
| 74 | Linear OA(32109, 1082, F32, 46) (dual of [1082, 973, 47]-code) | [i] | ||
| 75 | Linear OA(32110, 1085, F32, 46) (dual of [1085, 975, 47]-code) | [i] | ||
| 76 | Linear OA(32108, 1072, F32, 47) (dual of [1072, 964, 48]-code) | [i] | ||
| 77 | Linear OA(32109, 1075, F32, 47) (dual of [1075, 966, 48]-code) | [i] | ||
| 78 | Linear OA(32108, 1073, F32, 47) (dual of [1073, 965, 48]-code) | [i] | ||
| 79 | Linear OA(32110, 1078, F32, 47) (dual of [1078, 968, 48]-code) | [i] | ||
| 80 | Linear OA(32109, 1076, F32, 47) (dual of [1076, 967, 48]-code) | [i] | ||
| 81 | Linear OA(32110, 1079, F32, 47) (dual of [1079, 969, 48]-code) | [i] | ||
| 82 | Linear OA(32110, 1072, F32, 48) (dual of [1072, 962, 49]-code) | [i] | ||
| 83 | Linear OA(32110, 1073, F32, 48) (dual of [1073, 963, 49]-code) | [i] | ||