Information on Result #606438

Linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using Reed–Solomon code RS(17,32)

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(2107, 192, F2, 31) (dual of [192, 85, 32]-code) [i]Concatenation of Two Codes
2Linear OA(2106, 186, F2, 31) (dual of [186, 80, 32]-code) [i]
3Linear OA(2105, 180, F2, 31) (dual of [180, 75, 32]-code) [i]
4Linear OA(2104, 174, F2, 31) (dual of [174, 70, 32]-code) [i]
5Linear OA(2103, 168, F2, 31) (dual of [168, 65, 32]-code) [i]
6Linear OOA(2230, 155, F2, 2, 79) (dual of [(155, 2), 80, 80]-NRT-code) [i]Concatenation of Two NRT-Codes
7Linear OOA(2225, 150, F2, 2, 79) (dual of [(150, 2), 75, 80]-NRT-code) [i]
8Linear OOA(2220, 145, F2, 2, 79) (dual of [(145, 2), 70, 80]-NRT-code) [i]
9Linear OOA(2215, 140, F2, 2, 79) (dual of [(140, 2), 65, 80]-NRT-code) [i]
10Linear OOA(2205, 130, F2, 2, 79) (dual of [(130, 2), 55, 80]-NRT-code) [i]
11Linear OOA(2200, 125, F2, 2, 79) (dual of [(125, 2), 50, 80]-NRT-code) [i]
12Linear OOA(2195, 120, F2, 2, 79) (dual of [(120, 2), 45, 80]-NRT-code) [i]
13Linear OOA(2190, 115, F2, 2, 79) (dual of [(115, 2), 40, 80]-NRT-code) [i]
14Linear OOA(2185, 110, F2, 2, 79) (dual of [(110, 2), 35, 80]-NRT-code) [i]
15Linear OOA(2180, 105, F2, 2, 79) (dual of [(105, 2), 30, 80]-NRT-code) [i]
16Linear OOA(2175, 100, F2, 2, 79) (dual of [(100, 2), 25, 80]-NRT-code) [i]
17Linear OOA(2203, 96, F2, 3, 79) (dual of [(96, 3), 85, 80]-NRT-code) [i]
18Linear OOA(2199, 93, F2, 3, 79) (dual of [(93, 3), 80, 80]-NRT-code) [i]
19Linear OOA(2195, 90, F2, 3, 79) (dual of [(90, 3), 75, 80]-NRT-code) [i]
20Linear OOA(2191, 87, F2, 3, 79) (dual of [(87, 3), 70, 80]-NRT-code) [i]
21Linear OOA(2187, 84, F2, 3, 79) (dual of [(84, 3), 65, 80]-NRT-code) [i]
22Linear OOA(2183, 81, F2, 3, 79) (dual of [(81, 3), 60, 80]-NRT-code) [i]
23Linear OOA(2179, 78, F2, 3, 79) (dual of [(78, 3), 55, 80]-NRT-code) [i]
24Linear OOA(2175, 75, F2, 3, 79) (dual of [(75, 3), 50, 80]-NRT-code) [i]
25Linear OOA(2171, 72, F2, 3, 79) (dual of [(72, 3), 45, 80]-NRT-code) [i]
26Linear OOA(2167, 69, F2, 3, 79) (dual of [(69, 3), 40, 80]-NRT-code) [i]
27Linear OOA(2163, 66, F2, 3, 79) (dual of [(66, 3), 35, 80]-NRT-code) [i]
28Linear OOA(2159, 63, F2, 3, 79) (dual of [(63, 3), 30, 80]-NRT-code) [i]
29Linear OOA(2155, 60, F2, 3, 79) (dual of [(60, 3), 25, 80]-NRT-code) [i]
30Linear OOA(2255, 90, F2, 3, 159) (dual of [(90, 3), 15, 160]-NRT-code) [i]
31Linear OOA(2257, 78, F2, 4, 127) (dual of [(78, 4), 55, 128]-NRT-code) [i]
32Linear OOA(2250, 75, F2, 4, 127) (dual of [(75, 4), 50, 128]-NRT-code) [i]
33Linear OOA(2243, 72, F2, 4, 127) (dual of [(72, 4), 45, 128]-NRT-code) [i]
34Linear OOA(2236, 69, F2, 4, 127) (dual of [(69, 4), 40, 128]-NRT-code) [i]
35Linear OOA(2229, 66, F2, 4, 127) (dual of [(66, 4), 35, 128]-NRT-code) [i]
36Linear OOA(2222, 63, F2, 4, 127) (dual of [(63, 4), 30, 128]-NRT-code) [i]
37Linear OOA(2215, 60, F2, 4, 127) (dual of [(60, 4), 25, 128]-NRT-code) [i]
38Linear OOA(2208, 57, F2, 4, 127) (dual of [(57, 4), 20, 128]-NRT-code) [i]
39Linear OA(32110, 134, F32, 86) (dual of [134, 24, 87]-code) [i]Construction X with Algebraic-Geometric Codes
40Linear OA(32109, 134, F32, 85) (dual of [134, 25, 86]-code) [i]
41Linear OA(32108, 134, F32, 84) (dual of [134, 26, 85]-code) [i]
42Linear OA(32107, 134, F32, 83) (dual of [134, 27, 84]-code) [i]
43Linear OA(32106, 134, F32, 82) (dual of [134, 28, 83]-code) [i]
44Linear OA(32105, 134, F32, 81) (dual of [134, 29, 82]-code) [i]
45Linear OA(32104, 134, F32, 80) (dual of [134, 30, 81]-code) [i]
46Linear OA(32103, 134, F32, 79) (dual of [134, 31, 80]-code) [i]
47Linear OA(32102, 134, F32, 78) (dual of [134, 32, 79]-code) [i]
48Linear OA(32101, 134, F32, 77) (dual of [134, 33, 78]-code) [i]
49Linear OA(32100, 134, F32, 76) (dual of [134, 34, 77]-code) [i]
50Linear OA(3299, 134, F32, 75) (dual of [134, 35, 76]-code) [i]
51Linear OA(3298, 134, F32, 74) (dual of [134, 36, 75]-code) [i]
52Linear OA(3297, 134, F32, 73) (dual of [134, 37, 74]-code) [i]
53Linear OA(3296, 134, F32, 72) (dual of [134, 38, 73]-code) [i]
54Linear OA(3295, 134, F32, 71) (dual of [134, 39, 72]-code) [i]
55Linear OA(3294, 134, F32, 70) (dual of [134, 40, 71]-code) [i]
56Linear OA(3293, 134, F32, 69) (dual of [134, 41, 70]-code) [i]
57Linear OA(3292, 134, F32, 68) (dual of [134, 42, 69]-code) [i]
58Linear OA(3291, 134, F32, 67) (dual of [134, 43, 68]-code) [i]
59Linear OA(3290, 134, F32, 66) (dual of [134, 44, 67]-code) [i]
60Linear OA(3289, 134, F32, 65) (dual of [134, 45, 66]-code) [i]
61Linear OA(3288, 134, F32, 64) (dual of [134, 46, 65]-code) [i]
62Linear OA(3287, 134, F32, 63) (dual of [134, 47, 64]-code) [i]
63Linear OA(3286, 134, F32, 62) (dual of [134, 48, 63]-code) [i]
64Linear OA(3285, 134, F32, 61) (dual of [134, 49, 62]-code) [i]
65Linear OA(3284, 134, F32, 60) (dual of [134, 50, 61]-code) [i]
66Linear OA(3283, 134, F32, 59) (dual of [134, 51, 60]-code) [i]
67Linear OA(3282, 134, F32, 58) (dual of [134, 52, 59]-code) [i]
68Linear OA(3281, 134, F32, 57) (dual of [134, 53, 58]-code) [i]
69Linear OA(3280, 134, F32, 56) (dual of [134, 54, 57]-code) [i]
70Linear OA(3279, 134, F32, 55) (dual of [134, 55, 56]-code) [i]
71Linear OA(3278, 134, F32, 54) (dual of [134, 56, 55]-code) [i]
72Linear OA(3277, 134, F32, 53) (dual of [134, 57, 54]-code) [i]
73Linear OA(3276, 134, F32, 52) (dual of [134, 58, 53]-code) [i]
74Linear OA(3275, 134, F32, 51) (dual of [134, 59, 52]-code) [i]
75Linear OA(3274, 134, F32, 50) (dual of [134, 60, 51]-code) [i]
76Linear OA(3273, 134, F32, 49) (dual of [134, 61, 50]-code) [i]
77Linear OA(3272, 134, F32, 48) (dual of [134, 62, 49]-code) [i]
78Linear OA(3271, 134, F32, 47) (dual of [134, 63, 48]-code) [i]
79Linear OA(3270, 134, F32, 46) (dual of [134, 64, 47]-code) [i]
80Linear OA(3269, 134, F32, 45) (dual of [134, 65, 46]-code) [i]
81Linear OA(3268, 134, F32, 44) (dual of [134, 66, 45]-code) [i]
82Linear OA(3267, 134, F32, 43) (dual of [134, 67, 44]-code) [i]
83Linear OA(3266, 134, F32, 42) (dual of [134, 68, 43]-code) [i]
84Linear OA(3265, 134, F32, 41) (dual of [134, 69, 42]-code) [i]
85Linear OA(3264, 134, F32, 40) (dual of [134, 70, 41]-code) [i]
86Linear OA(3263, 134, F32, 39) (dual of [134, 71, 40]-code) [i]
87Linear OA(3262, 134, F32, 38) (dual of [134, 72, 39]-code) [i]
88Linear OA(3261, 134, F32, 37) (dual of [134, 73, 38]-code) [i]
89Linear OA(3260, 134, F32, 36) (dual of [134, 74, 37]-code) [i]
90Linear OA(3259, 134, F32, 35) (dual of [134, 75, 36]-code) [i]
91Linear OA(3258, 134, F32, 34) (dual of [134, 76, 35]-code) [i]
92Linear OA(3257, 134, F32, 33) (dual of [134, 77, 34]-code) [i]
93Linear OA(3256, 134, F32, 32) (dual of [134, 78, 33]-code) [i]
94Linear OA(3255, 134, F32, 31) (dual of [134, 79, 32]-code) [i]
95Linear OA(3254, 134, F32, 30) (dual of [134, 80, 31]-code) [i]
96Linear OA(32110, 150, F32, 84) (dual of [150, 40, 85]-code) [i]
97Linear OA(32109, 150, F32, 83) (dual of [150, 41, 84]-code) [i]
98Linear OA(32108, 150, F32, 82) (dual of [150, 42, 83]-code) [i]
99Linear OA(32107, 150, F32, 81) (dual of [150, 43, 82]-code) [i]
100Linear OA(32106, 150, F32, 80) (dual of [150, 44, 81]-code) [i]
101Linear OA(32105, 150, F32, 79) (dual of [150, 45, 80]-code) [i]
102Linear OA(32104, 150, F32, 78) (dual of [150, 46, 79]-code) [i]
103Linear OA(32103, 150, F32, 77) (dual of [150, 47, 78]-code) [i]
104Linear OA(32102, 150, F32, 76) (dual of [150, 48, 77]-code) [i]
105Linear OA(32101, 150, F32, 75) (dual of [150, 49, 76]-code) [i]
106Linear OA(32100, 150, F32, 74) (dual of [150, 50, 75]-code) [i]
107Linear OA(3299, 150, F32, 73) (dual of [150, 51, 74]-code) [i]
108Linear OA(3298, 150, F32, 72) (dual of [150, 52, 73]-code) [i]
109Linear OA(3297, 150, F32, 71) (dual of [150, 53, 72]-code) [i]
110Linear OA(3296, 150, F32, 70) (dual of [150, 54, 71]-code) [i]
111Linear OA(3295, 150, F32, 69) (dual of [150, 55, 70]-code) [i]
112Linear OA(3294, 150, F32, 68) (dual of [150, 56, 69]-code) [i]
113Linear OA(3293, 150, F32, 67) (dual of [150, 57, 68]-code) [i]
114Linear OA(3292, 150, F32, 66) (dual of [150, 58, 67]-code) [i]
115Linear OA(3291, 150, F32, 65) (dual of [150, 59, 66]-code) [i]
116Linear OA(3290, 150, F32, 64) (dual of [150, 60, 65]-code) [i]
117Linear OA(3289, 150, F32, 63) (dual of [150, 61, 64]-code) [i]
118Linear OA(3288, 150, F32, 62) (dual of [150, 62, 63]-code) [i]
119Linear OA(3287, 150, F32, 61) (dual of [150, 63, 62]-code) [i]
120Linear OA(3286, 150, F32, 60) (dual of [150, 64, 61]-code) [i]
121Linear OA(3285, 150, F32, 59) (dual of [150, 65, 60]-code) [i]
122Linear OA(3284, 150, F32, 58) (dual of [150, 66, 59]-code) [i]
123Linear OA(3283, 150, F32, 57) (dual of [150, 67, 58]-code) [i]
124Linear OA(3282, 150, F32, 56) (dual of [150, 68, 57]-code) [i]
125Linear OA(3281, 150, F32, 55) (dual of [150, 69, 56]-code) [i]
126Linear OA(3280, 150, F32, 54) (dual of [150, 70, 55]-code) [i]
127Linear OA(3279, 150, F32, 53) (dual of [150, 71, 54]-code) [i]
128Linear OA(3278, 150, F32, 52) (dual of [150, 72, 53]-code) [i]
129Linear OA(3277, 150, F32, 51) (dual of [150, 73, 52]-code) [i]
130Linear OA(3276, 150, F32, 50) (dual of [150, 74, 51]-code) [i]
131Linear OA(3275, 150, F32, 49) (dual of [150, 75, 50]-code) [i]
132Linear OA(3274, 150, F32, 48) (dual of [150, 76, 49]-code) [i]
133Linear OA(3273, 150, F32, 47) (dual of [150, 77, 48]-code) [i]
134Linear OA(3272, 150, F32, 46) (dual of [150, 78, 47]-code) [i]
135Linear OA(3271, 150, F32, 45) (dual of [150, 79, 46]-code) [i]
136Linear OA(3270, 150, F32, 44) (dual of [150, 80, 45]-code) [i]
137Linear OA(3269, 150, F32, 43) (dual of [150, 81, 44]-code) [i]
138Linear OA(3268, 150, F32, 42) (dual of [150, 82, 43]-code) [i]
139Linear OA(3267, 150, F32, 41) (dual of [150, 83, 42]-code) [i]
140Linear OA(3266, 150, F32, 40) (dual of [150, 84, 41]-code) [i]
141Linear OA(3265, 150, F32, 39) (dual of [150, 85, 40]-code) [i]
142Linear OA(3264, 150, F32, 38) (dual of [150, 86, 39]-code) [i]
143Linear OA(3263, 150, F32, 37) (dual of [150, 87, 38]-code) [i]
144Linear OA(3262, 150, F32, 36) (dual of [150, 88, 37]-code) [i]
145Linear OA(3261, 150, F32, 35) (dual of [150, 89, 36]-code) [i]