Information on Result #606882

Linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using extended Reed–Solomon code RSe(27,32)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3231, 1058, F32, 13) (dual of [1058, 1027, 14]-code) [i](u, u+v)-Construction
2Linear OA(3243, 32802, F32, 13) (dual of [32802, 32759, 14]-code) [i]
3Linear OA(3255, 1048610, F32, 13) (dual of [1048610, 1048555, 14]-code) [i]
4Linear OA(3229, 1057, F32, 12) (dual of [1057, 1028, 13]-code) [i]
5Linear OA(3240, 32801, F32, 12) (dual of [32801, 32761, 13]-code) [i]
6Linear OA(3251, 1048609, F32, 12) (dual of [1048609, 1048558, 13]-code) [i]
7Linear OA(329, 66, F32, 6) (dual of [66, 57, 7]-code) [i]
8Linear OA(3231, 1060, F32, 13) (dual of [1060, 1029, 14]-code) [i]
9Linear OA(3243, 32804, F32, 13) (dual of [32804, 32761, 14]-code) [i]
10Linear OA(3255, 1048613, F32, 13) (dual of [1048613, 1048558, 14]-code) [i]
11Linear OA(3229, 1060, F32, 12) (dual of [1060, 1031, 13]-code) [i]
12Linear OA(3240, 32804, F32, 12) (dual of [32804, 32764, 13]-code) [i]
13Linear OA(3251, 1048613, F32, 12) (dual of [1048613, 1048562, 13]-code) [i]
14OA(3258, 2097188, S32, 13) [i]
15Linear OA(3214, 1056, F32, 6) (dual of [1056, 1042, 7]-code) [i]Generalized (u, u+v)-Construction
16Linear OA(3255, 1090, F32, 20) (dual of [1090, 1035, 21]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(3256, 1101, F32, 20) (dual of [1101, 1045, 21]-code) [i]
18Linear OA(3274, 32834, F32, 20) (dual of [32834, 32760, 21]-code) [i]
19Linear OA(3275, 32845, F32, 20) (dual of [32845, 32770, 21]-code) [i]
20Linear OA(3293, 1048642, F32, 20) (dual of [1048642, 1048549, 21]-code) [i]
21Linear OA(3294, 1048653, F32, 20) (dual of [1048653, 1048559, 21]-code) [i]
22Linear OA(3252, 1091, F32, 19) (dual of [1091, 1039, 20]-code) [i]
23Linear OA(3253, 1102, F32, 19) (dual of [1102, 1049, 20]-code) [i]
24Linear OA(3270, 32835, F32, 19) (dual of [32835, 32765, 20]-code) [i]
25Linear OA(3271, 32846, F32, 19) (dual of [32846, 32775, 20]-code) [i]
26Linear OA(3288, 1048643, F32, 19) (dual of [1048643, 1048555, 20]-code) [i]
27Linear OA(3289, 1048654, F32, 19) (dual of [1048654, 1048565, 20]-code) [i]
28Linear OA(3250, 1090, F32, 18) (dual of [1090, 1040, 19]-code) [i]
29Linear OA(3251, 1101, F32, 18) (dual of [1101, 1050, 19]-code) [i]
30Linear OA(3267, 32834, F32, 18) (dual of [32834, 32767, 19]-code) [i]
31Linear OA(3268, 32845, F32, 18) (dual of [32845, 32777, 19]-code) [i]
32Linear OA(3284, 1048642, F32, 18) (dual of [1048642, 1048558, 19]-code) [i]
33Linear OA(3285, 1048653, F32, 18) (dual of [1048653, 1048568, 19]-code) [i]
34Linear OA(3235, 1091, F32, 13) (dual of [1091, 1056, 14]-code) [i]
35Linear OA(3247, 32835, F32, 13) (dual of [32835, 32788, 14]-code) [i]
36Linear OA(3259, 1048643, F32, 13) (dual of [1048643, 1048584, 14]-code) [i]
37Linear OA(3233, 1090, F32, 12) (dual of [1090, 1057, 13]-code) [i]
38Linear OA(3244, 32834, F32, 12) (dual of [32834, 32790, 13]-code) [i]
39Linear OA(3255, 1048642, F32, 12) (dual of [1048642, 1048587, 13]-code) [i]
40Linear OA(32103, 1048610, F32, 24) (dual of [1048610, 1048507, 25]-code) [i]Construction X with Cyclic Codes
41Linear OA(3295, 1048610, F32, 22) (dual of [1048610, 1048515, 23]-code) [i]
42Linear OA(3287, 1048610, F32, 20) (dual of [1048610, 1048523, 21]-code) [i]
43Linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
44Linear OA(32103, 1048609, F32, 25) (dual of [1048609, 1048506, 26]-code) [i]
45Linear OA(3299, 1048609, F32, 24) (dual of [1048609, 1048510, 25]-code) [i]
46Linear OA(3295, 1048609, F32, 23) (dual of [1048609, 1048514, 24]-code) [i]
47Linear OA(3291, 1048609, F32, 22) (dual of [1048609, 1048518, 23]-code) [i]
48Linear OA(3287, 1048609, F32, 21) (dual of [1048609, 1048522, 22]-code) [i]
49Linear OA(3283, 1048609, F32, 20) (dual of [1048609, 1048526, 21]-code) [i]
50Linear OA(3279, 1048609, F32, 19) (dual of [1048609, 1048530, 20]-code) [i]
51Linear OA(3275, 1048609, F32, 18) (dual of [1048609, 1048534, 19]-code) [i]
52Linear OA(3271, 1048609, F32, 17) (dual of [1048609, 1048538, 18]-code) [i]
53Linear OA(3267, 1048609, F32, 16) (dual of [1048609, 1048542, 17]-code) [i]
54Linear OA(3263, 1048609, F32, 15) (dual of [1048609, 1048546, 16]-code) [i]
55Linear OA(3259, 1048609, F32, 14) (dual of [1048609, 1048550, 15]-code) [i]