Information on Result #606435
Linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using Reed–Solomon code RS(20,32)
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(32107, 1067, F32, 38) (dual of [1067, 960, 39]-code) | [i] | Generalized (u, u+v)-Construction | |
2 | Linear OA(32108, 1070, F32, 38) (dual of [1070, 962, 39]-code) | [i] | ||
3 | Linear OA(32105, 1066, F32, 37) (dual of [1066, 961, 38]-code) | [i] | ||
4 | Linear OA(292, 192, F2, 25) (dual of [192, 100, 26]-code) | [i] | Concatenation of Two Codes | |
5 | Linear OA(291, 186, F2, 25) (dual of [186, 95, 26]-code) | [i] | ||
6 | Linear OA(290, 180, F2, 25) (dual of [180, 90, 26]-code) | [i] | ||
7 | Linear OA(289, 174, F2, 25) (dual of [174, 85, 26]-code) | [i] | ||
8 | Linear OA(288, 168, F2, 25) (dual of [168, 80, 26]-code) | [i] | ||
9 | Linear OA(287, 162, F2, 25) (dual of [162, 75, 26]-code) | [i] | ||
10 | Linear OA(286, 156, F2, 25) (dual of [156, 70, 26]-code) | [i] | ||
11 | Linear OA(285, 150, F2, 25) (dual of [150, 65, 26]-code) | [i] | ||
12 | Linear OA(284, 144, F2, 25) (dual of [144, 60, 26]-code) | [i] | ||
13 | Linear OA(283, 138, F2, 25) (dual of [138, 55, 26]-code) | [i] | ||
14 | Linear OOA(2165, 105, F2, 2, 64) (dual of [(105, 2), 45, 65]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
15 | Linear OOA(2150, 90, F2, 2, 64) (dual of [(90, 2), 30, 65]-NRT-code) | [i] | ||
16 | Linear OOA(2247, 136, F2, 2, 116) (dual of [(136, 2), 25, 117]-NRT-code) | [i] | ||
17 | Linear OOA(2188, 96, F2, 3, 64) (dual of [(96, 3), 100, 65]-NRT-code) | [i] | ||
18 | Linear OOA(2184, 93, F2, 3, 64) (dual of [(93, 3), 95, 65]-NRT-code) | [i] | ||
19 | Linear OOA(2180, 90, F2, 3, 64) (dual of [(90, 3), 90, 65]-NRT-code) | [i] | ||
20 | Linear OOA(2176, 87, F2, 3, 64) (dual of [(87, 3), 85, 65]-NRT-code) | [i] | ||
21 | Linear OOA(2172, 84, F2, 3, 64) (dual of [(84, 3), 80, 65]-NRT-code) | [i] | ||
22 | Linear OOA(2168, 81, F2, 3, 64) (dual of [(81, 3), 75, 65]-NRT-code) | [i] | ||
23 | Linear OOA(2164, 78, F2, 3, 64) (dual of [(78, 3), 70, 65]-NRT-code) | [i] | ||
24 | Linear OOA(2160, 75, F2, 3, 64) (dual of [(75, 3), 65, 65]-NRT-code) | [i] | ||
25 | Linear OOA(2156, 72, F2, 3, 64) (dual of [(72, 3), 60, 65]-NRT-code) | [i] | ||
26 | Linear OOA(2152, 69, F2, 3, 64) (dual of [(69, 3), 55, 65]-NRT-code) | [i] | ||
27 | Linear OOA(2148, 66, F2, 3, 64) (dual of [(66, 3), 50, 65]-NRT-code) | [i] | ||
28 | Linear OOA(2144, 63, F2, 3, 64) (dual of [(63, 3), 45, 65]-NRT-code) | [i] | ||
29 | Linear OOA(2140, 60, F2, 3, 64) (dual of [(60, 3), 40, 65]-NRT-code) | [i] | ||
30 | Linear OOA(2136, 57, F2, 3, 64) (dual of [(57, 3), 35, 65]-NRT-code) | [i] | ||
31 | Linear OOA(2132, 54, F2, 3, 64) (dual of [(54, 3), 30, 65]-NRT-code) | [i] | ||
32 | Linear OOA(2240, 90, F2, 3, 129) (dual of [(90, 3), 30, 130]-NRT-code) | [i] | ||
33 | Linear OOA(2230, 85, F2, 3, 129) (dual of [(85, 3), 25, 130]-NRT-code) | [i] | ||
34 | Linear OOA(2249, 81, F2, 4, 103) (dual of [(81, 4), 75, 104]-NRT-code) | [i] | ||
35 | Linear OOA(2242, 78, F2, 4, 103) (dual of [(78, 4), 70, 104]-NRT-code) | [i] | ||
36 | Linear OOA(2235, 75, F2, 4, 103) (dual of [(75, 4), 65, 104]-NRT-code) | [i] | ||
37 | Linear OOA(2228, 72, F2, 4, 103) (dual of [(72, 4), 60, 104]-NRT-code) | [i] | ||
38 | Linear OOA(2221, 69, F2, 4, 103) (dual of [(69, 4), 55, 104]-NRT-code) | [i] | ||
39 | Linear OOA(2214, 66, F2, 4, 103) (dual of [(66, 4), 50, 104]-NRT-code) | [i] | ||
40 | Linear OOA(2207, 63, F2, 4, 103) (dual of [(63, 4), 45, 104]-NRT-code) | [i] | ||
41 | Linear OOA(2200, 60, F2, 4, 103) (dual of [(60, 4), 40, 104]-NRT-code) | [i] | ||
42 | Linear OOA(2193, 57, F2, 4, 103) (dual of [(57, 4), 35, 104]-NRT-code) | [i] | ||
43 | Linear OOA(2186, 54, F2, 4, 103) (dual of [(54, 4), 30, 104]-NRT-code) | [i] | ||
44 | Linear OOA(2179, 51, F2, 4, 103) (dual of [(51, 4), 25, 104]-NRT-code) | [i] | ||
45 | Linear OOA(2250, 57, F2, 5, 142) (dual of [(57, 5), 35, 143]-NRT-code) | [i] | ||
46 | Linear OA(32110, 144, F32, 87) (dual of [144, 34, 88]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
47 | Linear OA(32109, 144, F32, 86) (dual of [144, 35, 87]-code) | [i] | ||
48 | Linear OA(32108, 144, F32, 85) (dual of [144, 36, 86]-code) | [i] | ||
49 | Linear OA(32107, 144, F32, 84) (dual of [144, 37, 85]-code) | [i] | ||
50 | Linear OA(32106, 144, F32, 83) (dual of [144, 38, 84]-code) | [i] | ||
51 | Linear OA(32105, 144, F32, 82) (dual of [144, 39, 83]-code) | [i] | ||
52 | Linear OA(32104, 144, F32, 81) (dual of [144, 40, 82]-code) | [i] | ||
53 | Linear OA(32103, 144, F32, 80) (dual of [144, 41, 81]-code) | [i] | ||
54 | Linear OA(32102, 144, F32, 79) (dual of [144, 42, 80]-code) | [i] | ||
55 | Linear OA(32101, 144, F32, 78) (dual of [144, 43, 79]-code) | [i] | ||
56 | Linear OA(32100, 144, F32, 77) (dual of [144, 44, 78]-code) | [i] | ||
57 | Linear OA(3299, 144, F32, 76) (dual of [144, 45, 77]-code) | [i] | ||
58 | Linear OA(3298, 144, F32, 75) (dual of [144, 46, 76]-code) | [i] | ||
59 | Linear OA(3297, 144, F32, 74) (dual of [144, 47, 75]-code) | [i] | ||
60 | Linear OA(3296, 144, F32, 73) (dual of [144, 48, 74]-code) | [i] | ||
61 | Linear OA(3295, 144, F32, 72) (dual of [144, 49, 73]-code) | [i] | ||
62 | Linear OA(3294, 144, F32, 71) (dual of [144, 50, 72]-code) | [i] | ||
63 | Linear OA(3293, 144, F32, 70) (dual of [144, 51, 71]-code) | [i] | ||
64 | Linear OA(3292, 144, F32, 69) (dual of [144, 52, 70]-code) | [i] | ||
65 | Linear OA(3291, 144, F32, 68) (dual of [144, 53, 69]-code) | [i] | ||
66 | Linear OA(3290, 144, F32, 67) (dual of [144, 54, 68]-code) | [i] | ||
67 | Linear OA(3289, 144, F32, 66) (dual of [144, 55, 67]-code) | [i] | ||
68 | Linear OA(3288, 144, F32, 65) (dual of [144, 56, 66]-code) | [i] | ||
69 | Linear OA(3287, 144, F32, 64) (dual of [144, 57, 65]-code) | [i] | ||
70 | Linear OA(3286, 144, F32, 63) (dual of [144, 58, 64]-code) | [i] | ||
71 | Linear OA(3285, 144, F32, 62) (dual of [144, 59, 63]-code) | [i] | ||
72 | Linear OA(3284, 144, F32, 61) (dual of [144, 60, 62]-code) | [i] | ||
73 | Linear OA(3283, 144, F32, 60) (dual of [144, 61, 61]-code) | [i] | ||
74 | Linear OA(3282, 144, F32, 59) (dual of [144, 62, 60]-code) | [i] | ||
75 | Linear OA(3281, 144, F32, 58) (dual of [144, 63, 59]-code) | [i] | ||
76 | Linear OA(3280, 144, F32, 57) (dual of [144, 64, 58]-code) | [i] | ||
77 | Linear OA(3279, 144, F32, 56) (dual of [144, 65, 57]-code) | [i] | ||
78 | Linear OA(3278, 144, F32, 55) (dual of [144, 66, 56]-code) | [i] | ||
79 | Linear OA(3277, 144, F32, 54) (dual of [144, 67, 55]-code) | [i] | ||
80 | Linear OA(3276, 144, F32, 53) (dual of [144, 68, 54]-code) | [i] | ||
81 | Linear OA(3275, 144, F32, 52) (dual of [144, 69, 53]-code) | [i] | ||
82 | Linear OA(3274, 144, F32, 51) (dual of [144, 70, 52]-code) | [i] | ||
83 | Linear OA(3273, 144, F32, 50) (dual of [144, 71, 51]-code) | [i] | ||
84 | Linear OA(3272, 144, F32, 49) (dual of [144, 72, 50]-code) | [i] | ||
85 | Linear OA(3271, 144, F32, 48) (dual of [144, 73, 49]-code) | [i] | ||
86 | Linear OA(3270, 144, F32, 47) (dual of [144, 74, 48]-code) | [i] | ||
87 | Linear OA(3269, 144, F32, 46) (dual of [144, 75, 47]-code) | [i] | ||
88 | Linear OA(3268, 144, F32, 45) (dual of [144, 76, 46]-code) | [i] | ||
89 | Linear OA(3267, 144, F32, 44) (dual of [144, 77, 45]-code) | [i] | ||
90 | Linear OA(3266, 144, F32, 43) (dual of [144, 78, 44]-code) | [i] | ||
91 | Linear OA(3265, 144, F32, 42) (dual of [144, 79, 43]-code) | [i] | ||
92 | Linear OA(3264, 144, F32, 41) (dual of [144, 80, 42]-code) | [i] | ||
93 | Linear OA(3263, 144, F32, 40) (dual of [144, 81, 41]-code) | [i] | ||
94 | Linear OA(3262, 144, F32, 39) (dual of [144, 82, 40]-code) | [i] | ||
95 | Linear OA(3261, 144, F32, 38) (dual of [144, 83, 39]-code) | [i] | ||
96 | Linear OA(3260, 144, F32, 37) (dual of [144, 84, 38]-code) | [i] | ||
97 | Linear OA(3259, 144, F32, 36) (dual of [144, 85, 37]-code) | [i] | ||
98 | Linear OA(3258, 144, F32, 35) (dual of [144, 86, 36]-code) | [i] | ||
99 | Linear OA(3257, 144, F32, 34) (dual of [144, 87, 35]-code) | [i] | ||
100 | Linear OA(3256, 144, F32, 33) (dual of [144, 88, 34]-code) | [i] | ||
101 | Linear OA(3255, 144, F32, 32) (dual of [144, 89, 33]-code) | [i] | ||
102 | Linear OA(3254, 144, F32, 31) (dual of [144, 90, 32]-code) | [i] | ||
103 | Linear OA(3253, 144, F32, 30) (dual of [144, 91, 31]-code) | [i] | ||
104 | Linear OA(3252, 144, F32, 29) (dual of [144, 92, 30]-code) | [i] | ||
105 | Linear OA(3251, 144, F32, 28) (dual of [144, 93, 29]-code) | [i] | ||
106 | Linear OA(3298, 1053, F32, 38) (dual of [1053, 955, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
107 | Linear OA(3299, 1055, F32, 38) (dual of [1055, 956, 39]-code) | [i] | ||
108 | Linear OA(32100, 1057, F32, 38) (dual of [1057, 957, 39]-code) | [i] | ||
109 | Linear OA(32101, 1059, F32, 38) (dual of [1059, 958, 39]-code) | [i] | ||
110 | Linear OA(32102, 1061, F32, 38) (dual of [1061, 959, 39]-code) | [i] | ||
111 | Linear OA(3296, 1052, F32, 37) (dual of [1052, 956, 38]-code) | [i] | ||
112 | Linear OA(3297, 1054, F32, 37) (dual of [1054, 957, 38]-code) | [i] | ||
113 | Linear OA(3298, 1056, F32, 37) (dual of [1056, 958, 38]-code) | [i] | ||
114 | Linear OA(3299, 1058, F32, 37) (dual of [1058, 959, 38]-code) | [i] | ||
115 | Linear OA(3294, 1053, F32, 36) (dual of [1053, 959, 37]-code) | [i] | ||
116 | Linear OA(3295, 1055, F32, 36) (dual of [1055, 960, 37]-code) | [i] | ||
117 | Linear OA(3296, 1057, F32, 36) (dual of [1057, 961, 37]-code) | [i] | ||
118 | Linear OA(3297, 1059, F32, 36) (dual of [1059, 962, 37]-code) | [i] |