Information on Result #618059
Linear OA(329, 33, F32, 9) (dual of [33, 24, 10]-code or 33-arc in PG(8,32)), using the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(3246, 1058, F32, 19) (dual of [1058, 1012, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3264, 32802, F32, 19) (dual of [32802, 32738, 20]-code) | [i] | ||
| 3 | Linear OA(3282, 1048610, F32, 19) (dual of [1048610, 1048528, 20]-code) | [i] | ||
| 4 | Linear OA(3244, 1057, F32, 18) (dual of [1057, 1013, 19]-code) | [i] | ||
| 5 | Linear OA(3261, 32801, F32, 18) (dual of [32801, 32740, 19]-code) | [i] | ||
| 6 | Linear OA(3278, 1048609, F32, 18) (dual of [1048609, 1048531, 19]-code) | [i] | ||
| 7 | Linear OA(3246, 1060, F32, 19) (dual of [1060, 1014, 20]-code) | [i] | ||
| 8 | Linear OA(3244, 1060, F32, 18) (dual of [1060, 1016, 19]-code) | [i] | ||
| 9 | OA(3286, 2097188, S32, 19) | [i] | ||
| 10 | OA(3282, 2097188, S32, 18) | [i] | ||
| 11 | Linear OA(3223, 1056, F32, 9) (dual of [1056, 1033, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(3280, 1091, F32, 29) (dual of [1091, 1011, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(3281, 1102, F32, 29) (dual of [1102, 1021, 30]-code) | [i] | ||
| 14 | Linear OA(3283, 1122, F32, 29) (dual of [1122, 1039, 30]-code) | [i] | ||
| 15 | Linear OA(32108, 32835, F32, 29) (dual of [32835, 32727, 30]-code) | [i] | ||
| 16 | Linear OA(32109, 32846, F32, 29) (dual of [32846, 32737, 30]-code) | [i] | ||
| 17 | Linear OA(3278, 1090, F32, 28) (dual of [1090, 1012, 29]-code) | [i] | ||
| 18 | Linear OA(3279, 1101, F32, 28) (dual of [1101, 1022, 29]-code) | [i] | ||
| 19 | Linear OA(3281, 1121, F32, 28) (dual of [1121, 1040, 29]-code) | [i] | ||
| 20 | Linear OA(32105, 32834, F32, 28) (dual of [32834, 32729, 29]-code) | [i] | ||
| 21 | Linear OA(32106, 32845, F32, 28) (dual of [32845, 32739, 29]-code) | [i] | ||
| 22 | Linear OA(32108, 32865, F32, 28) (dual of [32865, 32757, 29]-code) | [i] | ||
| 23 | Linear OA(3275, 1091, F32, 27) (dual of [1091, 1016, 28]-code) | [i] | ||
| 24 | Linear OA(3276, 1102, F32, 27) (dual of [1102, 1026, 28]-code) | [i] | ||
| 25 | Linear OA(3278, 1122, F32, 27) (dual of [1122, 1044, 28]-code) | [i] | ||
| 26 | Linear OA(32101, 32835, F32, 27) (dual of [32835, 32734, 28]-code) | [i] | ||
| 27 | Linear OA(32102, 32846, F32, 27) (dual of [32846, 32744, 28]-code) | [i] | ||
| 28 | Linear OA(32104, 32866, F32, 27) (dual of [32866, 32762, 28]-code) | [i] | ||
| 29 | Linear OA(3252, 1091, F32, 19) (dual of [1091, 1039, 20]-code) | [i] | ||
| 30 | Linear OA(3270, 32835, F32, 19) (dual of [32835, 32765, 20]-code) | [i] | ||
| 31 | Linear OA(3288, 1048643, F32, 19) (dual of [1048643, 1048555, 20]-code) | [i] | ||
| 32 | Linear OA(3250, 1090, F32, 18) (dual of [1090, 1040, 19]-code) | [i] | ||
| 33 | Linear OA(3267, 32834, F32, 18) (dual of [32834, 32767, 19]-code) | [i] | ||
| 34 | Linear OA(3284, 1048642, F32, 18) (dual of [1048642, 1048558, 19]-code) | [i] | ||
| 35 | Linear OA(3216, 99, F32, 9) (dual of [99, 83, 10]-code) | [i] | ||
| 36 | Linear OA(3212, 37, F32, 9) (dual of [37, 25, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |