Information on Result #606359

Linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using Reed–Solomon code RS(15,16)

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(1622, 90, F16, 12) (dual of [90, 68, 13]-code) [i]Construction XX with Cyclic Codes
2Linear OA(1624, 91, F16, 13) (dual of [91, 67, 14]-code) [i]
3Linear OA(1626, 92, F16, 14) (dual of [92, 66, 15]-code) [i]
4Linear OA(1628, 92, F16, 15) (dual of [92, 64, 16]-code) [i]
5Linear OA(1637, 92, F16, 21) (dual of [92, 55, 22]-code) [i]
6Linear OA(1639, 92, F16, 22) (dual of [92, 53, 23]-code) [i]
7Linear OA(1644, 92, F16, 26) (dual of [92, 48, 27]-code) [i]
8Linear OA(1646, 92, F16, 27) (dual of [92, 46, 28]-code) [i]
9Linear OA(1651, 92, F16, 31) (dual of [92, 41, 32]-code) [i]
10Linear OA(1664, 104, F16, 37) (dual of [104, 40, 38]-code) [i]
11Linear OA(1639, 262, F16, 21) (dual of [262, 223, 22]-code) [i]
12Linear OA(1641, 262, F16, 22) (dual of [262, 221, 23]-code) [i]
13Linear OA(1643, 262, F16, 23) (dual of [262, 219, 24]-code) [i]
14Linear OA(1645, 262, F16, 24) (dual of [262, 217, 25]-code) [i]
15Linear OA(1647, 262, F16, 25) (dual of [262, 215, 26]-code) [i]
16Linear OA(1649, 262, F16, 26) (dual of [262, 213, 27]-code) [i]
17Linear OA(1651, 262, F16, 27) (dual of [262, 211, 28]-code) [i]
18Linear OA(1653, 262, F16, 28) (dual of [262, 209, 29]-code) [i]
19Linear OA(1655, 262, F16, 29) (dual of [262, 207, 30]-code) [i]
20Linear OA(1657, 262, F16, 30) (dual of [262, 205, 31]-code) [i]
21Linear OA(1671, 276, F16, 36) (dual of [276, 205, 37]-code) [i]
22Linear OA(1659, 262, F16, 31) (dual of [262, 203, 32]-code) [i]
23Linear OA(1673, 276, F16, 37) (dual of [276, 203, 38]-code) [i]
24Linear OA(1673, 277, F16, 37) (dual of [277, 204, 38]-code) [i]
25Linear OA(1661, 262, F16, 32) (dual of [262, 201, 33]-code) [i]
26Linear OA(1675, 276, F16, 38) (dual of [276, 201, 39]-code) [i]
27Linear OA(1672, 275, F16, 37) (dual of [275, 203, 38]-code) [i]
28Linear OA(1675, 277, F16, 38) (dual of [277, 202, 39]-code) [i]
29Linear OA(1677, 276, F16, 39) (dual of [276, 199, 40]-code) [i]
30Linear OA(1674, 275, F16, 38) (dual of [275, 201, 39]-code) [i]
31Linear OA(1677, 277, F16, 39) (dual of [277, 200, 40]-code) [i]
32Linear OA(1676, 275, F16, 39) (dual of [275, 199, 40]-code) [i]
33Linear OA(1679, 277, F16, 40) (dual of [277, 198, 41]-code) [i]
34Linear OA(1678, 275, F16, 40) (dual of [275, 197, 41]-code) [i]
35Linear OA(1668, 262, F16, 38) (dual of [262, 194, 39]-code) [i]
36Linear OA(1681, 276, F16, 42) (dual of [276, 195, 43]-code) [i]
37Linear OA(1683, 277, F16, 43) (dual of [277, 194, 44]-code) [i]
38Linear OA(1672, 262, F16, 40) (dual of [262, 190, 41]-code) [i]
39Linear OA(1685, 277, F16, 44) (dual of [277, 192, 45]-code) [i]
40Linear OA(1687, 277, F16, 45) (dual of [277, 190, 46]-code) [i]
41Linear OA(1676, 262, F16, 42) (dual of [262, 186, 43]-code) [i]
42Linear OA(1689, 277, F16, 46) (dual of [277, 188, 47]-code) [i]
43Linear OA(1691, 277, F16, 47) (dual of [277, 186, 48]-code) [i]
44Linear OA(16105, 291, F16, 53) (dual of [291, 186, 54]-code) [i]
45Linear OA(16107, 291, F16, 54) (dual of [291, 184, 55]-code) [i]
46Linear OA(1680, 262, F16, 44) (dual of [262, 182, 45]-code) [i]
47Linear OA(1693, 277, F16, 48) (dual of [277, 184, 49]-code) [i]
48Linear OA(16106, 290, F16, 54) (dual of [290, 184, 55]-code) [i]
49Linear OA(16109, 291, F16, 55) (dual of [291, 182, 56]-code) [i]
50Linear OA(16101, 282, F16, 53) (dual of [282, 181, 54]-code) [i]
51Linear OA(16108, 290, F16, 55) (dual of [290, 182, 56]-code) [i]
52Linear OA(16111, 291, F16, 56) (dual of [291, 180, 57]-code) [i]
53Linear OA(1684, 262, F16, 46) (dual of [262, 178, 47]-code) [i]
54Linear OA(16103, 282, F16, 54) (dual of [282, 179, 55]-code) [i]
55Linear OA(16103, 283, F16, 54) (dual of [283, 180, 55]-code) [i]
56Linear OA(16110, 290, F16, 56) (dual of [290, 180, 57]-code) [i]
57Linear OA(16113, 291, F16, 57) (dual of [291, 178, 58]-code) [i]
58Linear OA(1698, 275, F16, 53) (dual of [275, 177, 54]-code) [i]
59Linear OA(16105, 282, F16, 55) (dual of [282, 177, 56]-code) [i]
60Linear OA(16105, 283, F16, 55) (dual of [283, 178, 56]-code) [i]
61Linear OA(16112, 290, F16, 57) (dual of [290, 178, 58]-code) [i]
62Linear OA(16115, 291, F16, 58) (dual of [291, 176, 59]-code) [i]
63Linear OA(1688, 262, F16, 48) (dual of [262, 174, 49]-code) [i]
64Linear OA(16100, 275, F16, 54) (dual of [275, 175, 55]-code) [i]
65Linear OA(16107, 282, F16, 56) (dual of [282, 175, 57]-code) [i]
66Linear OA(16100, 276, F16, 54) (dual of [276, 176, 55]-code) [i]
67Linear OA(16107, 283, F16, 56) (dual of [283, 176, 57]-code) [i]
68Linear OA(16114, 290, F16, 58) (dual of [290, 176, 59]-code) [i]
69Linear OA(16117, 291, F16, 59) (dual of [291, 174, 60]-code) [i]
70Linear OA(16102, 275, F16, 55) (dual of [275, 173, 56]-code) [i]
71Linear OA(16109, 282, F16, 57) (dual of [282, 173, 58]-code) [i]
72Linear OA(16102, 276, F16, 55) (dual of [276, 174, 56]-code) [i]
73Linear OA(16109, 283, F16, 57) (dual of [283, 174, 58]-code) [i]
74Linear OA(16116, 290, F16, 59) (dual of [290, 174, 60]-code) [i]
75Linear OA(16119, 291, F16, 60) (dual of [291, 172, 61]-code) [i]
76Linear OA(16104, 275, F16, 56) (dual of [275, 171, 57]-code) [i]
77Linear OA(16111, 282, F16, 58) (dual of [282, 171, 59]-code) [i]
78Linear OA(16104, 276, F16, 56) (dual of [276, 172, 57]-code) [i]
79Linear OA(16111, 283, F16, 58) (dual of [283, 172, 59]-code) [i]
80Linear OA(16118, 290, F16, 60) (dual of [290, 172, 61]-code) [i]
81Linear OA(16106, 276, F16, 57) (dual of [276, 170, 58]-code) [i]
82Linear OA(16113, 283, F16, 59) (dual of [283, 170, 60]-code) [i]
83Linear OA(16120, 290, F16, 61) (dual of [290, 170, 62]-code) [i]
84Linear OA(16106, 275, F16, 58) (dual of [275, 169, 59]-code) [i]
85Linear OA(16113, 282, F16, 60) (dual of [282, 169, 61]-code) [i]
86Linear OA(1695, 262, F16, 55) (dual of [262, 167, 56]-code) [i]
87Linear OA(16108, 276, F16, 59) (dual of [276, 168, 60]-code) [i]
88Linear OA(16115, 283, F16, 61) (dual of [283, 168, 62]-code) [i]
89Linear OA(16122, 290, F16, 63) (dual of [290, 168, 64]-code) [i]
90Linear OA(1697, 262, F16, 56) (dual of [262, 165, 57]-code) [i]
91Linear OA(16110, 277, F16, 60) (dual of [277, 167, 61]-code) [i]
92Linear OA(16117, 284, F16, 62) (dual of [284, 167, 63]-code) [i]
93Linear OA(16124, 291, F16, 64) (dual of [291, 167, 65]-code) [i]
94Linear OA(1699, 262, F16, 57) (dual of [262, 163, 58]-code) [i]
95Linear OA(16112, 277, F16, 61) (dual of [277, 165, 62]-code) [i]
96Linear OA(16119, 284, F16, 63) (dual of [284, 165, 64]-code) [i]
97Linear OA(16101, 262, F16, 58) (dual of [262, 161, 59]-code) [i]
98Linear OA(16114, 277, F16, 62) (dual of [277, 163, 63]-code) [i]
99Linear OA(16121, 284, F16, 64) (dual of [284, 163, 65]-code) [i]
100Linear OA(16103, 262, F16, 59) (dual of [262, 159, 60]-code) [i]
101Linear OA(16116, 277, F16, 63) (dual of [277, 161, 64]-code) [i]
102Linear OA(16130, 290, F16, 70) (dual of [290, 160, 71]-code) [i]
103Linear OA(16105, 262, F16, 60) (dual of [262, 157, 61]-code) [i]
104Linear OA(16118, 277, F16, 64) (dual of [277, 159, 65]-code) [i]
105Linear OA(16107, 262, F16, 61) (dual of [262, 155, 62]-code) [i]
106Linear OA(16127, 283, F16, 70) (dual of [283, 156, 71]-code) [i]
107Linear OA(16109, 262, F16, 62) (dual of [262, 153, 63]-code) [i]
108Linear OA(16129, 283, F16, 71) (dual of [283, 154, 72]-code) [i]
109Linear OA(16129, 284, F16, 71) (dual of [284, 155, 72]-code) [i]
110Linear OA(16111, 262, F16, 63) (dual of [262, 151, 64]-code) [i]
111Linear OA(16124, 276, F16, 70) (dual of [276, 152, 71]-code) [i]
112Linear OA(16113, 262, F16, 64) (dual of [262, 149, 65]-code) [i]
113Linear OA(16126, 276, F16, 71) (dual of [276, 150, 72]-code) [i]
114Linear OA(16126, 277, F16, 71) (dual of [277, 151, 72]-code) [i]
115Linear OA(16128, 276, F16, 72) (dual of [276, 148, 73]-code) [i]
116Linear OA(16128, 277, F16, 72) (dual of [277, 149, 73]-code) [i]
117Linear OA(16130, 276, F16, 73) (dual of [276, 146, 74]-code) [i]
118Linear OA(16130, 277, F16, 73) (dual of [277, 147, 74]-code) [i]
119Linear OA(16120, 262, F16, 72) (dual of [262, 142, 73]-code) [i]
120Linear OA(16124, 262, F16, 74) (dual of [262, 138, 75]-code) [i]
121Linear OA(16128, 262, F16, 76) (dual of [262, 134, 77]-code) [i]
122Linear OA(16116, 607, F16, 42) (dual of [607, 491, 43]-code) [i]
123Linear OA(16119, 607, F16, 43) (dual of [607, 488, 44]-code) [i]
124Linear OA(16122, 607, F16, 44) (dual of [607, 485, 45]-code) [i]
125Linear OA(16124, 607, F16, 45) (dual of [607, 483, 46]-code) [i]
126Linear OA(16114, 595, F16, 43) (dual of [595, 481, 44]-code) [i]
127Linear OA(16127, 607, F16, 46) (dual of [607, 480, 47]-code) [i]
128Linear OA(16127, 609, F16, 46) (dual of [609, 482, 47]-code) [i]
129Linear OA(16117, 595, F16, 44) (dual of [595, 478, 45]-code) [i]
130Linear OA(16126, 607, F16, 46) (dual of [607, 481, 47]-code) [i]
131Linear OA(16130, 609, F16, 47) (dual of [609, 479, 48]-code) [i]
132Linear OA(16120, 595, F16, 45) (dual of [595, 475, 46]-code) [i]
133Linear OA(16129, 607, F16, 47) (dual of [607, 478, 48]-code) [i]
134Linear OA(16123, 595, F16, 46) (dual of [595, 472, 47]-code) [i]
135Linear OA(16126, 595, F16, 47) (dual of [595, 469, 48]-code) [i]
136Linear OA(16129, 595, F16, 48) (dual of [595, 466, 49]-code) [i]
137Linear OA(1652, 1048589, F16, 11) (dual of [1048589, 1048537, 12]-code) [i]Construction X4 with Cyclic Codes
138Linear OA(1642, 1048589, F16, 9) (dual of [1048589, 1048547, 10]-code) [i]
139Linear OA(1632, 1048589, F16, 7) (dual of [1048589, 1048557, 8]-code) [i]
140Linear OA(1620, 4105, F16, 7) (dual of [4105, 4085, 8]-code) [i]
141Linear OA(1617, 1048583, F16, 4) (dual of [1048583, 1048566, 5]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
142Linear OA(1647, 1048588, F16, 10) (dual of [1048588, 1048541, 11]-code) [i]
143Linear OA(1637, 1048588, F16, 8) (dual of [1048588, 1048551, 9]-code) [i]
144Linear OA(1627, 1048588, F16, 6) (dual of [1048588, 1048561, 7]-code) [i]
145Linear OA(1617, 1048588, F16, 4) (dual of [1048588, 1048571, 5]-code) [i]
146Linear OA(1617, 4104, F16, 6) (dual of [4104, 4087, 7]-code) [i]
147Linear OA(1632, 4107, F16, 10) (dual of [4107, 4075, 11]-code) [i]