Information on Result #618040
Linear OA(327, 33, F32, 7) (dual of [33, 26, 8]-code or 33-arc in PG(6,32)), using the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(3236, 1058, F32, 15) (dual of [1058, 1022, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3250, 32802, F32, 15) (dual of [32802, 32752, 16]-code) | [i] | ||
| 3 | Linear OA(3264, 1048610, F32, 15) (dual of [1048610, 1048546, 16]-code) | [i] | ||
| 4 | Linear OA(3234, 1057, F32, 14) (dual of [1057, 1023, 15]-code) | [i] | ||
| 5 | Linear OA(3247, 32801, F32, 14) (dual of [32801, 32754, 15]-code) | [i] | ||
| 6 | Linear OA(3260, 1048609, F32, 14) (dual of [1048609, 1048549, 15]-code) | [i] | ||
| 7 | Linear OA(3210, 66, F32, 7) (dual of [66, 56, 8]-code) | [i] | ||
| 8 | Linear OA(3236, 1060, F32, 15) (dual of [1060, 1024, 16]-code) | [i] | ||
| 9 | Linear OA(3250, 32804, F32, 15) (dual of [32804, 32754, 16]-code) | [i] | ||
| 10 | Linear OA(3264, 1048613, F32, 15) (dual of [1048613, 1048549, 16]-code) | [i] | ||
| 11 | Linear OA(3234, 1060, F32, 14) (dual of [1060, 1026, 15]-code) | [i] | ||
| 12 | Linear OA(3247, 32804, F32, 14) (dual of [32804, 32757, 15]-code) | [i] | ||
| 13 | Linear OA(3260, 1048613, F32, 14) (dual of [1048613, 1048553, 15]-code) | [i] | ||
| 14 | OA(3268, 2097188, S32, 15) | [i] | ||
| 15 | OA(3263, 2097188, S32, 14) | [i] | ||
| 16 | Linear OA(3216, 1056, F32, 7) (dual of [1056, 1040, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(3263, 1091, F32, 23) (dual of [1091, 1028, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(3264, 1102, F32, 23) (dual of [1102, 1038, 24]-code) | [i] | ||
| 19 | Linear OA(3266, 1122, F32, 23) (dual of [1122, 1056, 24]-code) | [i] | ||
| 20 | Linear OA(3285, 32835, F32, 23) (dual of [32835, 32750, 24]-code) | [i] | ||
| 21 | Linear OA(3286, 32846, F32, 23) (dual of [32846, 32760, 24]-code) | [i] | ||
| 22 | Linear OA(3288, 32866, F32, 23) (dual of [32866, 32778, 24]-code) | [i] | ||
| 23 | Linear OA(32107, 1048643, F32, 23) (dual of [1048643, 1048536, 24]-code) | [i] | ||
| 24 | Linear OA(32108, 1048654, F32, 23) (dual of [1048654, 1048546, 24]-code) | [i] | ||
| 25 | Linear OA(32110, 1048674, F32, 23) (dual of [1048674, 1048564, 24]-code) | [i] | ||
| 26 | Linear OA(3261, 1090, F32, 22) (dual of [1090, 1029, 23]-code) | [i] | ||
| 27 | Linear OA(3262, 1101, F32, 22) (dual of [1101, 1039, 23]-code) | [i] | ||
| 28 | Linear OA(3282, 32834, F32, 22) (dual of [32834, 32752, 23]-code) | [i] | ||
| 29 | Linear OA(3283, 32845, F32, 22) (dual of [32845, 32762, 23]-code) | [i] | ||
| 30 | Linear OA(32103, 1048642, F32, 22) (dual of [1048642, 1048539, 23]-code) | [i] | ||
| 31 | Linear OA(32104, 1048653, F32, 22) (dual of [1048653, 1048549, 23]-code) | [i] | ||
| 32 | Linear OA(3258, 1091, F32, 21) (dual of [1091, 1033, 22]-code) | [i] | ||
| 33 | Linear OA(3259, 1102, F32, 21) (dual of [1102, 1043, 22]-code) | [i] | ||
| 34 | Linear OA(3278, 32835, F32, 21) (dual of [32835, 32757, 22]-code) | [i] | ||
| 35 | Linear OA(3279, 32846, F32, 21) (dual of [32846, 32767, 22]-code) | [i] | ||
| 36 | Linear OA(3298, 1048643, F32, 21) (dual of [1048643, 1048545, 22]-code) | [i] | ||
| 37 | Linear OA(3299, 1048654, F32, 21) (dual of [1048654, 1048555, 22]-code) | [i] | ||
| 38 | Linear OA(3241, 1091, F32, 15) (dual of [1091, 1050, 16]-code) | [i] | ||
| 39 | Linear OA(3255, 32835, F32, 15) (dual of [32835, 32780, 16]-code) | [i] | ||
| 40 | Linear OA(3269, 1048643, F32, 15) (dual of [1048643, 1048574, 16]-code) | [i] | ||
| 41 | Linear OA(3238, 1090, F32, 14) (dual of [1090, 1052, 15]-code) | [i] | ||
| 42 | Linear OA(3251, 32834, F32, 14) (dual of [32834, 32783, 15]-code) | [i] | ||
| 43 | Linear OA(3264, 1048642, F32, 14) (dual of [1048642, 1048578, 15]-code) | [i] | ||
| 44 | Linear OA(3212, 99, F32, 7) (dual of [99, 87, 8]-code) | [i] | ||
| 45 | Linear OA(329, 36, F32, 7) (dual of [36, 27, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 46 | Linear OA(32104, 1048610, F32, 25) (dual of [1048610, 1048506, 26]-code) | [i] | ||
| 47 | Linear OA(3296, 1048610, F32, 23) (dual of [1048610, 1048514, 24]-code) | [i] | ||
| 48 | Linear OA(3288, 1048610, F32, 21) (dual of [1048610, 1048522, 22]-code) | [i] | ||
| 49 | Linear OA(3280, 1048610, F32, 19) (dual of [1048610, 1048530, 20]-code) | [i] | ||
| 50 | Linear OA(3272, 1048610, F32, 17) (dual of [1048610, 1048538, 18]-code) | [i] | ||