Information on Result #606437

Linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using Reed–Solomon code RS(18,32)

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(2102, 192, F2, 29) (dual of [192, 90, 30]-code) [i]Concatenation of Two Codes
2Linear OA(2101, 186, F2, 29) (dual of [186, 85, 30]-code) [i]
3Linear OA(2100, 180, F2, 29) (dual of [180, 80, 30]-code) [i]
4Linear OA(299, 174, F2, 29) (dual of [174, 75, 30]-code) [i]
5Linear OA(298, 168, F2, 29) (dual of [168, 70, 30]-code) [i]
6Linear OOA(2195, 125, F2, 2, 74) (dual of [(125, 2), 55, 75]-NRT-code) [i]Concatenation of Two NRT-Codes
7Linear OOA(2190, 120, F2, 2, 74) (dual of [(120, 2), 50, 75]-NRT-code) [i]
8Linear OOA(2185, 115, F2, 2, 74) (dual of [(115, 2), 45, 75]-NRT-code) [i]
9Linear OOA(2180, 110, F2, 2, 74) (dual of [(110, 2), 40, 75]-NRT-code) [i]
10Linear OOA(2175, 105, F2, 2, 74) (dual of [(105, 2), 35, 75]-NRT-code) [i]
11Linear OOA(2170, 100, F2, 2, 74) (dual of [(100, 2), 30, 75]-NRT-code) [i]
12Linear OOA(2165, 95, F2, 2, 74) (dual of [(95, 2), 25, 75]-NRT-code) [i]
13Linear OOA(2198, 96, F2, 3, 74) (dual of [(96, 3), 90, 75]-NRT-code) [i]
14Linear OOA(2194, 93, F2, 3, 74) (dual of [(93, 3), 85, 75]-NRT-code) [i]
15Linear OOA(2190, 90, F2, 3, 74) (dual of [(90, 3), 80, 75]-NRT-code) [i]
16Linear OOA(2186, 87, F2, 3, 74) (dual of [(87, 3), 75, 75]-NRT-code) [i]
17Linear OOA(2182, 84, F2, 3, 74) (dual of [(84, 3), 70, 75]-NRT-code) [i]
18Linear OOA(2178, 81, F2, 3, 74) (dual of [(81, 3), 65, 75]-NRT-code) [i]
19Linear OOA(2174, 78, F2, 3, 74) (dual of [(78, 3), 60, 75]-NRT-code) [i]
20Linear OOA(2170, 75, F2, 3, 74) (dual of [(75, 3), 55, 75]-NRT-code) [i]
21Linear OOA(2166, 72, F2, 3, 74) (dual of [(72, 3), 50, 75]-NRT-code) [i]
22Linear OOA(2162, 69, F2, 3, 74) (dual of [(69, 3), 45, 75]-NRT-code) [i]
23Linear OOA(2158, 66, F2, 3, 74) (dual of [(66, 3), 40, 75]-NRT-code) [i]
24Linear OOA(2154, 63, F2, 3, 74) (dual of [(63, 3), 35, 75]-NRT-code) [i]
25Linear OOA(2150, 60, F2, 3, 74) (dual of [(60, 3), 30, 75]-NRT-code) [i]
26Linear OOA(2146, 57, F2, 3, 74) (dual of [(57, 3), 25, 75]-NRT-code) [i]
27Linear OOA(2260, 95, F2, 3, 149) (dual of [(95, 3), 25, 150]-NRT-code) [i]
28Linear OOA(2250, 90, F2, 3, 149) (dual of [(90, 3), 20, 150]-NRT-code) [i]
29Linear OOA(2259, 81, F2, 4, 119) (dual of [(81, 4), 65, 120]-NRT-code) [i]
30Linear OOA(2252, 78, F2, 4, 119) (dual of [(78, 4), 60, 120]-NRT-code) [i]
31Linear OOA(2245, 75, F2, 4, 119) (dual of [(75, 4), 55, 120]-NRT-code) [i]
32Linear OOA(2238, 72, F2, 4, 119) (dual of [(72, 4), 50, 120]-NRT-code) [i]
33Linear OOA(2231, 69, F2, 4, 119) (dual of [(69, 4), 45, 120]-NRT-code) [i]
34Linear OOA(2224, 66, F2, 4, 119) (dual of [(66, 4), 40, 120]-NRT-code) [i]
35Linear OOA(2217, 63, F2, 4, 119) (dual of [(63, 4), 35, 120]-NRT-code) [i]
36Linear OOA(2210, 60, F2, 4, 119) (dual of [(60, 4), 30, 120]-NRT-code) [i]
37Linear OOA(2203, 57, F2, 4, 119) (dual of [(57, 4), 25, 120]-NRT-code) [i]
38Linear OOA(2196, 54, F2, 4, 119) (dual of [(54, 4), 20, 120]-NRT-code) [i]
39Linear OOA(2260, 57, F2, 5, 164) (dual of [(57, 5), 25, 165]-NRT-code) [i]
40Linear OA(32110, 148, F32, 85) (dual of [148, 38, 86]-code) [i]Construction X with Algebraic-Geometric Codes
41Linear OA(32109, 148, F32, 84) (dual of [148, 39, 85]-code) [i]
42Linear OA(32108, 148, F32, 83) (dual of [148, 40, 84]-code) [i]
43Linear OA(32107, 148, F32, 82) (dual of [148, 41, 83]-code) [i]
44Linear OA(32106, 148, F32, 81) (dual of [148, 42, 82]-code) [i]
45Linear OA(32105, 148, F32, 80) (dual of [148, 43, 81]-code) [i]
46Linear OA(32104, 148, F32, 79) (dual of [148, 44, 80]-code) [i]
47Linear OA(32103, 148, F32, 78) (dual of [148, 45, 79]-code) [i]
48Linear OA(32102, 148, F32, 77) (dual of [148, 46, 78]-code) [i]
49Linear OA(32101, 148, F32, 76) (dual of [148, 47, 77]-code) [i]
50Linear OA(32100, 148, F32, 75) (dual of [148, 48, 76]-code) [i]
51Linear OA(3299, 148, F32, 74) (dual of [148, 49, 75]-code) [i]
52Linear OA(3298, 148, F32, 73) (dual of [148, 50, 74]-code) [i]
53Linear OA(3297, 148, F32, 72) (dual of [148, 51, 73]-code) [i]
54Linear OA(3296, 148, F32, 71) (dual of [148, 52, 72]-code) [i]
55Linear OA(3295, 148, F32, 70) (dual of [148, 53, 71]-code) [i]
56Linear OA(3294, 148, F32, 69) (dual of [148, 54, 70]-code) [i]
57Linear OA(3293, 148, F32, 68) (dual of [148, 55, 69]-code) [i]
58Linear OA(3292, 148, F32, 67) (dual of [148, 56, 68]-code) [i]
59Linear OA(3291, 148, F32, 66) (dual of [148, 57, 67]-code) [i]
60Linear OA(3290, 148, F32, 65) (dual of [148, 58, 66]-code) [i]
61Linear OA(3289, 148, F32, 64) (dual of [148, 59, 65]-code) [i]
62Linear OA(3288, 148, F32, 63) (dual of [148, 60, 64]-code) [i]
63Linear OA(3287, 148, F32, 62) (dual of [148, 61, 63]-code) [i]
64Linear OA(3286, 148, F32, 61) (dual of [148, 62, 62]-code) [i]
65Linear OA(3285, 148, F32, 60) (dual of [148, 63, 61]-code) [i]
66Linear OA(3284, 148, F32, 59) (dual of [148, 64, 60]-code) [i]
67Linear OA(3283, 148, F32, 58) (dual of [148, 65, 59]-code) [i]
68Linear OA(3282, 148, F32, 57) (dual of [148, 66, 58]-code) [i]
69Linear OA(3281, 148, F32, 56) (dual of [148, 67, 57]-code) [i]
70Linear OA(3280, 148, F32, 55) (dual of [148, 68, 56]-code) [i]
71Linear OA(3279, 148, F32, 54) (dual of [148, 69, 55]-code) [i]
72Linear OA(3278, 148, F32, 53) (dual of [148, 70, 54]-code) [i]
73Linear OA(3277, 148, F32, 52) (dual of [148, 71, 53]-code) [i]
74Linear OA(3276, 148, F32, 51) (dual of [148, 72, 52]-code) [i]
75Linear OA(3275, 148, F32, 50) (dual of [148, 73, 51]-code) [i]
76Linear OA(3274, 148, F32, 49) (dual of [148, 74, 50]-code) [i]
77Linear OA(3273, 148, F32, 48) (dual of [148, 75, 49]-code) [i]
78Linear OA(3272, 148, F32, 47) (dual of [148, 76, 48]-code) [i]
79Linear OA(3271, 148, F32, 46) (dual of [148, 77, 47]-code) [i]
80Linear OA(3270, 148, F32, 45) (dual of [148, 78, 46]-code) [i]
81Linear OA(3269, 148, F32, 44) (dual of [148, 79, 45]-code) [i]
82Linear OA(3268, 148, F32, 43) (dual of [148, 80, 44]-code) [i]
83Linear OA(3267, 148, F32, 42) (dual of [148, 81, 43]-code) [i]
84Linear OA(3266, 148, F32, 41) (dual of [148, 82, 42]-code) [i]
85Linear OA(3265, 148, F32, 40) (dual of [148, 83, 41]-code) [i]
86Linear OA(3264, 148, F32, 39) (dual of [148, 84, 40]-code) [i]
87Linear OA(3263, 148, F32, 38) (dual of [148, 85, 39]-code) [i]
88Linear OA(3262, 148, F32, 37) (dual of [148, 86, 38]-code) [i]
89Linear OA(3261, 148, F32, 36) (dual of [148, 87, 37]-code) [i]
90Linear OA(3260, 148, F32, 35) (dual of [148, 88, 36]-code) [i]
91Linear OA(3259, 148, F32, 34) (dual of [148, 89, 35]-code) [i]
92Linear OA(3258, 148, F32, 33) (dual of [148, 90, 34]-code) [i]
93Linear OA(3257, 148, F32, 32) (dual of [148, 91, 33]-code) [i]
94Linear OA(3256, 148, F32, 31) (dual of [148, 92, 32]-code) [i]
95Linear OA(3255, 148, F32, 30) (dual of [148, 93, 31]-code) [i]
96Linear OA(32110, 1057, F32, 42) (dual of [1057, 947, 43]-code) [i](u, u−v, u+v+w)-Construction