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:

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