Information on Result #606363

Linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using Reed–Solomon code RS(11,16)

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(1697, 128, F16, 59) (dual of [128, 31, 60]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(1697, 128, F16, 59) (dual of [128, 31, 60]-code) [i]
3Linear OA(16108, 135, F16, 69) (dual of [135, 27, 70]-code) [i]
4Linear OA(16108, 135, F16, 69) (dual of [135, 27, 70]-code) [i]
5Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code) [i]
6Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code) [i]
7Linear OA(1698, 130, F16, 59) (dual of [130, 32, 60]-code) [i]
8Linear OA(1698, 130, F16, 59) (dual of [130, 32, 60]-code) [i]
9Linear OA(1689, 121, F16, 53) (dual of [121, 32, 54]-code) [i]
10Linear OA(1689, 121, F16, 53) (dual of [121, 32, 54]-code) [i]
11Linear OA(16125, 1048597, F16, 23) (dual of [1048597, 1048472, 24]-code) [i]
12Linear OA(16126, 1048600, F16, 23) (dual of [1048600, 1048474, 24]-code) [i]
13Linear OA(16120, 1048597, F16, 22) (dual of [1048597, 1048477, 23]-code) [i]
14Linear OA(1670, 80, F16, 55) (dual of [80, 10, 56]-code) [i]Juxtaposition
15Linear OA(1670, 78, F16, 57) (dual of [78, 8, 58]-code) [i]
16Linear OA(1670, 77, F16, 58) (dual of [77, 7, 59]-code) [i]
17Linear OA(1669, 75, F16, 59) (dual of [75, 6, 60]-code) [i]
18Linear OA(1669, 74, F16, 60) (dual of [74, 5, 61]-code) [i]
19Linear OA(1669, 73, F16, 61) (dual of [73, 4, 62]-code) [i]
20Linear OA(1670, 73, F16, 65) (dual of [73, 3, 66]-code) [i]
21Linear OA(235, 75, F2, 11) (dual of [75, 40, 12]-code) [i]Concatenation of Two Codes
22Linear OA(426, 32, F4, 17) (dual of [32, 6, 18]-code) [i]
23Linear OOA(242, 33, F2, 2, 17) (dual of [(33, 2), 24, 18]-NRT-code) [i]Concatenation of Two NRT-Codes
24Linear OOA(240, 30, F2, 2, 17) (dual of [(30, 2), 20, 18]-NRT-code) [i]
25Linear OOA(238, 27, F2, 2, 17) (dual of [(27, 2), 16, 18]-NRT-code) [i]
26Linear OOA(280, 36, F2, 3, 35) (dual of [(36, 3), 28, 36]-NRT-code) [i]
27Linear OOA(270, 30, F2, 3, 35) (dual of [(30, 3), 20, 36]-NRT-code) [i]
28Linear OOA(265, 27, F2, 3, 35) (dual of [(27, 3), 16, 36]-NRT-code) [i]
29Linear OOA(260, 24, F2, 3, 35) (dual of [(24, 3), 12, 36]-NRT-code) [i]
30Linear OOA(255, 21, F2, 3, 35) (dual of [(21, 3), 8, 36]-NRT-code) [i]
31Linear OOA(297, 35, F2, 3, 65) (dual of [(35, 3), 8, 66]-NRT-code) [i]
32Linear OOA(2132, 35, F2, 4, 95) (dual of [(35, 4), 8, 96]-NRT-code) [i]
33Linear OA(1667, 75, F16, 56) (dual of [75, 8, 57]-code) [i]Construction X with Algebraic-Geometric Codes
34Linear OA(1666, 75, F16, 55) (dual of [75, 9, 56]-code) [i]
35Linear OA(1665, 75, F16, 54) (dual of [75, 10, 55]-code) [i]
36Linear OA(1664, 75, F16, 53) (dual of [75, 11, 54]-code) [i]
37Linear OA(1663, 75, F16, 52) (dual of [75, 12, 53]-code) [i]
38Linear OA(1662, 75, F16, 51) (dual of [75, 13, 52]-code) [i]
39Linear OA(1661, 75, F16, 50) (dual of [75, 14, 51]-code) [i]
40Linear OA(1660, 75, F16, 49) (dual of [75, 15, 50]-code) [i]
41Linear OA(1659, 75, F16, 48) (dual of [75, 16, 49]-code) [i]
42Linear OA(1658, 75, F16, 47) (dual of [75, 17, 48]-code) [i]
43Linear OA(1657, 75, F16, 46) (dual of [75, 18, 47]-code) [i]
44Linear OA(1656, 75, F16, 45) (dual of [75, 19, 46]-code) [i]
45Linear OA(1655, 75, F16, 44) (dual of [75, 20, 45]-code) [i]
46Linear OA(1654, 75, F16, 43) (dual of [75, 21, 44]-code) [i]
47Linear OA(1653, 75, F16, 42) (dual of [75, 22, 43]-code) [i]
48Linear OA(1652, 75, F16, 41) (dual of [75, 23, 42]-code) [i]
49Linear OA(1651, 75, F16, 40) (dual of [75, 24, 41]-code) [i]
50Linear OA(1650, 75, F16, 39) (dual of [75, 25, 40]-code) [i]
51Linear OA(1649, 75, F16, 38) (dual of [75, 26, 39]-code) [i]
52Linear OA(1648, 75, F16, 37) (dual of [75, 27, 38]-code) [i]
53Linear OA(1647, 75, F16, 36) (dual of [75, 28, 37]-code) [i]
54Linear OA(1646, 75, F16, 35) (dual of [75, 29, 36]-code) [i]
55Linear OA(1645, 75, F16, 34) (dual of [75, 30, 35]-code) [i]
56Linear OA(1644, 75, F16, 33) (dual of [75, 31, 34]-code) [i]
57Linear OA(1643, 75, F16, 32) (dual of [75, 32, 33]-code) [i]
58Linear OA(1642, 75, F16, 31) (dual of [75, 33, 32]-code) [i]
59Linear OA(1641, 75, F16, 30) (dual of [75, 34, 31]-code) [i]
60Linear OA(1640, 75, F16, 29) (dual of [75, 35, 30]-code) [i]
61Linear OA(1639, 75, F16, 28) (dual of [75, 36, 29]-code) [i]
62Linear OA(1638, 75, F16, 27) (dual of [75, 37, 28]-code) [i]
63Linear OA(1637, 75, F16, 26) (dual of [75, 38, 27]-code) [i]
64Linear OA(1636, 75, F16, 25) (dual of [75, 39, 26]-code) [i]
65Linear OA(1635, 75, F16, 24) (dual of [75, 40, 25]-code) [i]
66Linear OA(1634, 75, F16, 23) (dual of [75, 41, 24]-code) [i]
67Linear OA(1633, 75, F16, 22) (dual of [75, 42, 23]-code) [i]
68Linear OA(1632, 75, F16, 21) (dual of [75, 43, 22]-code) [i]
69Linear OA(1631, 75, F16, 20) (dual of [75, 44, 21]-code) [i]
70Linear OA(1630, 75, F16, 19) (dual of [75, 45, 20]-code) [i]
71Linear OA(1629, 75, F16, 18) (dual of [75, 46, 19]-code) [i]
72Linear OA(1628, 75, F16, 17) (dual of [75, 47, 18]-code) [i]
73Linear OA(1627, 75, F16, 16) (dual of [75, 48, 17]-code) [i]
74Linear OA(1626, 75, F16, 15) (dual of [75, 49, 16]-code) [i]
75Linear OA(16130, 235, F16, 85) (dual of [235, 105, 86]-code) [i]
76Linear OA(16129, 235, F16, 84) (dual of [235, 106, 85]-code) [i]
77Linear OA(16128, 235, F16, 83) (dual of [235, 107, 84]-code) [i]
78Linear OA(16127, 235, F16, 82) (dual of [235, 108, 83]-code) [i]
79Linear OA(16126, 235, F16, 81) (dual of [235, 109, 82]-code) [i]
80Linear OA(16125, 235, F16, 80) (dual of [235, 110, 81]-code) [i]
81Linear OA(16124, 235, F16, 79) (dual of [235, 111, 80]-code) [i]
82Linear OA(16123, 235, F16, 78) (dual of [235, 112, 79]-code) [i]
83Linear OA(16122, 235, F16, 77) (dual of [235, 113, 78]-code) [i]
84Linear OA(16121, 235, F16, 76) (dual of [235, 114, 77]-code) [i]
85Linear OA(16120, 235, F16, 75) (dual of [235, 115, 76]-code) [i]
86Linear OA(16119, 235, F16, 74) (dual of [235, 116, 75]-code) [i]
87Linear OA(16118, 235, F16, 73) (dual of [235, 117, 74]-code) [i]
88Linear OA(16117, 235, F16, 72) (dual of [235, 118, 73]-code) [i]
89Linear OA(16116, 235, F16, 71) (dual of [235, 119, 72]-code) [i]
90Linear OA(1667, 73, F16, 59) (dual of [73, 6, 60]-code) [i]
91Linear OA(1665, 74, F16, 55) (dual of [74, 9, 56]-code) [i]
92Linear OA(1664, 74, F16, 54) (dual of [74, 10, 55]-code) [i]
93Linear OA(1663, 74, F16, 53) (dual of [74, 11, 54]-code) [i]
94Linear OA(16127, 139, F16, 103) (dual of [139, 12, 104]-code) [i]
95Linear OA(16126, 139, F16, 102) (dual of [139, 13, 103]-code) [i]
96Linear OA(16125, 139, F16, 101) (dual of [139, 14, 102]-code) [i]
97Linear OA(16124, 139, F16, 100) (dual of [139, 15, 101]-code) [i]
98Linear OA(16123, 139, F16, 99) (dual of [139, 16, 100]-code) [i]
99Linear OA(16122, 139, F16, 98) (dual of [139, 17, 99]-code) [i]
100Linear OA(16121, 139, F16, 97) (dual of [139, 18, 98]-code) [i]
101Linear OA(16120, 139, F16, 96) (dual of [139, 19, 97]-code) [i]
102Linear OA(16119, 139, F16, 95) (dual of [139, 20, 96]-code) [i]
103Linear OA(16118, 139, F16, 94) (dual of [139, 21, 95]-code) [i]
104Linear OA(16117, 139, F16, 93) (dual of [139, 22, 94]-code) [i]
105Linear OA(16116, 139, F16, 92) (dual of [139, 23, 93]-code) [i]
106Linear OA(16115, 139, F16, 91) (dual of [139, 24, 92]-code) [i]
107Linear OA(16114, 139, F16, 90) (dual of [139, 25, 91]-code) [i]
108Linear OA(16113, 139, F16, 89) (dual of [139, 26, 90]-code) [i]
109Linear OA(16112, 139, F16, 88) (dual of [139, 27, 89]-code) [i]
110Linear OA(16111, 139, F16, 87) (dual of [139, 28, 88]-code) [i]
111Linear OA(16110, 139, F16, 86) (dual of [139, 29, 87]-code) [i]
112Linear OA(16109, 139, F16, 85) (dual of [139, 30, 86]-code) [i]
113Linear OA(16108, 139, F16, 84) (dual of [139, 31, 85]-code) [i]
114Linear OA(16107, 139, F16, 83) (dual of [139, 32, 84]-code) [i]
115Linear OA(16106, 139, F16, 82) (dual of [139, 33, 83]-code) [i]
116Linear OA(16105, 139, F16, 81) (dual of [139, 34, 82]-code) [i]
117Linear OA(16104, 139, F16, 80) (dual of [139, 35, 81]-code) [i]
118Linear OA(16103, 139, F16, 79) (dual of [139, 36, 80]-code) [i]
119Linear OA(16102, 139, F16, 78) (dual of [139, 37, 79]-code) [i]
120Linear OA(16101, 139, F16, 77) (dual of [139, 38, 78]-code) [i]
121Linear OA(16100, 139, F16, 76) (dual of [139, 39, 77]-code) [i]
122Linear OA(1699, 139, F16, 75) (dual of [139, 40, 76]-code) [i]
123Linear OA(1698, 139, F16, 74) (dual of [139, 41, 75]-code) [i]
124Linear OA(1697, 139, F16, 73) (dual of [139, 42, 74]-code) [i]
125Linear OA(1696, 139, F16, 72) (dual of [139, 43, 73]-code) [i]
126Linear OA(1695, 139, F16, 71) (dual of [139, 44, 72]-code) [i]
127Linear OA(1694, 139, F16, 70) (dual of [139, 45, 71]-code) [i]
128Linear OA(1693, 139, F16, 69) (dual of [139, 46, 70]-code) [i]
129Linear OA(1692, 139, F16, 68) (dual of [139, 47, 69]-code) [i]
130Linear OA(1691, 139, F16, 67) (dual of [139, 48, 68]-code) [i]
131Linear OA(1690, 139, F16, 66) (dual of [139, 49, 67]-code) [i]
132Linear OA(1689, 139, F16, 65) (dual of [139, 50, 66]-code) [i]
133Linear OA(1688, 139, F16, 64) (dual of [139, 51, 65]-code) [i]
134Linear OA(1687, 139, F16, 63) (dual of [139, 52, 64]-code) [i]
135Linear OA(1686, 139, F16, 62) (dual of [139, 53, 63]-code) [i]
136Linear OA(1685, 139, F16, 61) (dual of [139, 54, 62]-code) [i]
137Linear OA(1684, 139, F16, 60) (dual of [139, 55, 61]-code) [i]
138Linear OA(1683, 139, F16, 59) (dual of [139, 56, 60]-code) [i]
139Linear OA(1682, 139, F16, 58) (dual of [139, 57, 59]-code) [i]
140Linear OA(1681, 139, F16, 57) (dual of [139, 58, 58]-code) [i]
141Linear OA(1680, 139, F16, 56) (dual of [139, 59, 57]-code) [i]
142Linear OA(1679, 139, F16, 55) (dual of [139, 60, 56]-code) [i]
143Linear OA(1678, 139, F16, 54) (dual of [139, 61, 55]-code) [i]
144Linear OA(1677, 139, F16, 53) (dual of [139, 62, 54]-code) [i]
145Linear OA(1676, 139, F16, 52) (dual of [139, 63, 53]-code) [i]
146Linear OA(1675, 139, F16, 51) (dual of [139, 64, 52]-code) [i]
147Linear OA(1674, 139, F16, 50) (dual of [139, 65, 51]-code) [i]
148Linear OA(1673, 139, F16, 49) (dual of [139, 66, 50]-code) [i]
149Linear OA(1672, 139, F16, 48) (dual of [139, 67, 49]-code) [i]
150Linear OA(1671, 139, F16, 47) (dual of [139, 68, 48]-code) [i]
151Linear OA(1670, 139, F16, 46) (dual of [139, 69, 47]-code) [i]
152Linear OA(1669, 139, F16, 45) (dual of [139, 70, 46]-code) [i]
153Linear OA(1668, 139, F16, 44) (dual of [139, 71, 45]-code) [i]
154Linear OA(1667, 139, F16, 43) (dual of [139, 72, 44]-code) [i]
155Linear OA(1666, 139, F16, 42) (dual of [139, 73, 43]-code) [i]
156Linear OA(1665, 139, F16, 41) (dual of [139, 74, 42]-code) [i]
157Linear OA(1664, 139, F16, 40) (dual of [139, 75, 41]-code) [i]
158Linear OA(1663, 139, F16, 39) (dual of [139, 76, 40]-code) [i]
159Linear OA(1662, 139, F16, 38) (dual of [139, 77, 39]-code) [i]
160Linear OA(1661, 139, F16, 37) (dual of [139, 78, 38]-code) [i]
161Linear OA(1660, 139, F16, 36) (dual of [139, 79, 37]-code) [i]
162Linear OA(1659, 139, F16, 35) (dual of [139, 80, 36]-code) [i]
163Linear OA(1658, 139, F16, 34) (dual of [139, 81, 35]-code) [i]
164Linear OA(1657, 139, F16, 33) (dual of [139, 82, 34]-code) [i]
165Linear OA(1658, 4110, F16, 17) (dual of [4110, 4052, 18]-code) [i](u, u−v, u+v+w)-Construction
166Linear OA(1688, 1048590, F16, 17) (dual of [1048590, 1048502, 18]-code) [i]
167Linear OA(1674, 131086, F16, 16) (dual of [131086, 131012, 17]-code) [i]
168Linear OA(1666, 266, F16, 35) (dual of [266, 200, 36]-code) [i]Construction X with Cyclic Codes
169Linear OA(1657, 98, F16, 34) (dual of [98, 41, 35]-code) [i]
170Linear OA(1653, 100, F16, 30) (dual of [100, 47, 31]-code) [i]Construction XX with Cyclic Codes
171Linear OA(1653, 101, F16, 30) (dual of [101, 48, 31]-code) [i]
172Linear OA(1659, 102, F16, 34) (dual of [102, 43, 35]-code) [i]
173Linear OA(1659, 100, F16, 35) (dual of [100, 41, 36]-code) [i]
174Linear OA(1660, 99, F16, 36) (dual of [99, 39, 37]-code) [i]
175Linear OA(1667, 107, F16, 39) (dual of [107, 40, 40]-code) [i]
176Linear OA(1666, 104, F16, 39) (dual of [104, 38, 40]-code) [i]
177Linear OA(1669, 109, F16, 40) (dual of [109, 40, 41]-code) [i]
178Linear OA(1669, 109, F16, 40) (dual of [109, 40, 41]-code) [i]
179Linear OA(1668, 106, F16, 40) (dual of [106, 38, 41]-code) [i]
180Linear OA(1670, 111, F16, 40) (dual of [111, 41, 41]-code) [i]
181Linear OA(1670, 111, F16, 40) (dual of [111, 41, 41]-code) [i]
182Linear OA(1668, 107, F16, 40) (dual of [107, 39, 41]-code) [i]
183Linear OA(1668, 107, F16, 40) (dual of [107, 39, 41]-code) [i]
184Linear OA(1667, 104, F16, 40) (dual of [104, 37, 41]-code) [i]
185Linear OA(1678, 113, F16, 46) (dual of [113, 35, 47]-code) [i]
186Linear OA(1673, 106, F16, 45) (dual of [106, 33, 46]-code) [i]
187Linear OA(1675, 108, F16, 46) (dual of [108, 33, 47]-code) [i]
188Linear OA(1675, 108, F16, 46) (dual of [108, 33, 47]-code) [i]
189Linear OA(1678, 111, F16, 47) (dual of [111, 33, 48]-code) [i]
190Linear OA(1685, 118, F16, 51) (dual of [118, 33, 52]-code) [i]
191Linear OA(1682, 113, F16, 50) (dual of [113, 31, 51]-code) [i]
192Linear OA(1683, 113, F16, 51) (dual of [113, 30, 52]-code) [i]
193Linear OA(1682, 111, F16, 51) (dual of [111, 29, 52]-code) [i]
194Linear OA(1679, 106, F16, 51) (dual of [106, 27, 52]-code) [i]
195Linear OA(1679, 106, F16, 51) (dual of [106, 27, 52]-code) [i]
196Linear OA(1678, 104, F16, 51) (dual of [104, 26, 52]-code) [i]
197Linear OA(1689, 116, F16, 56) (dual of [116, 27, 57]-code) [i]
198Linear OA(1687, 112, F16, 56) (dual of [112, 25, 57]-code) [i]
199Linear OA(1682, 103, F16, 56) (dual of [103, 21, 57]-code) [i]
200Linear OA(1668, 269, F16, 36) (dual of [269, 201, 37]-code) [i]
201Linear OA(1670, 269, F16, 37) (dual of [269, 199, 38]-code) [i]
202Linear OA(1672, 269, F16, 38) (dual of [269, 197, 39]-code) [i]
203Linear OA(1682, 278, F16, 42) (dual of [278, 196, 43]-code) [i]
204Linear OA(1695, 267, F16, 53) (dual of [267, 172, 54]-code) [i]
205Linear OA(16113, 294, F16, 57) (dual of [294, 181, 58]-code) [i]
206Linear OA(1697, 267, F16, 54) (dual of [267, 170, 55]-code) [i]
207Linear OA(16115, 294, F16, 58) (dual of [294, 179, 59]-code) [i]
208Linear OA(16110, 287, F16, 57) (dual of [287, 177, 58]-code) [i]
209Linear OA(16117, 294, F16, 59) (dual of [294, 177, 60]-code) [i]
210Linear OA(16112, 287, F16, 58) (dual of [287, 175, 59]-code) [i]
211Linear OA(16119, 294, F16, 60) (dual of [294, 175, 61]-code) [i]
212Linear OA(16114, 287, F16, 59) (dual of [287, 173, 60]-code) [i]
213Linear OA(16121, 294, F16, 61) (dual of [294, 173, 62]-code) [i]
214Linear OA(16106, 275, F16, 58) (dual of [275, 169, 59]-code) [i]
215Linear OA(16116, 287, F16, 60) (dual of [287, 171, 61]-code) [i]
216Linear OA(16123, 294, F16, 62) (dual of [294, 171, 63]-code) [i]
217Linear OA(16109, 278, F16, 59) (dual of [278, 169, 60]-code) [i]
218Linear OA(16112, 281, F16, 60) (dual of [281, 169, 61]-code) [i]
219Linear OA(16115, 284, F16, 61) (dual of [284, 169, 62]-code) [i]
220Linear OA(16118, 287, F16, 62) (dual of [287, 169, 63]-code) [i]
221Linear OA(16118, 287, F16, 62) (dual of [287, 169, 63]-code) [i]
222Linear OA(16125, 294, F16, 64) (dual of [294, 169, 65]-code) [i]
223Linear OA(16120, 288, F16, 63) (dual of [288, 168, 64]-code) [i]
224Linear OA(16127, 295, F16, 65) (dual of [295, 168, 66]-code) [i]
225Linear OA(16120, 265, F16, 70) (dual of [265, 145, 71]-code) [i]
226Linear OA(16112, 603, F16, 41) (dual of [603, 491, 42]-code) [i]
227Linear OA(16115, 603, F16, 42) (dual of [603, 488, 43]-code) [i]
228Linear OA(16116, 607, F16, 42) (dual of [607, 491, 43]-code) [i]
229Linear OA(16118, 603, F16, 43) (dual of [603, 485, 44]-code) [i]
230Linear OA(16119, 607, F16, 43) (dual of [607, 488, 44]-code) [i]
231Linear OA(16122, 607, F16, 44) (dual of [607, 485, 45]-code) [i]
232Linear OA(16115, 601, F16, 42) (dual of [601, 486, 43]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
233Linear OA(16112, 601, F16, 41) (dual of [601, 489, 42]-code) [i]
234Linear OA(16109, 601, F16, 40) (dual of [601, 492, 41]-code) [i]
235Linear OA(16118, 264, F16, 69) (dual of [264, 146, 70]-code) [i]
236Linear OA(16117, 265, F16, 68) (dual of [265, 148, 69]-code) [i]
237Linear OA(1695, 266, F16, 53) (dual of [266, 171, 54]-code) [i]
238Linear OA(1693, 266, F16, 52) (dual of [266, 173, 53]-code) [i]
239Linear OA(1692, 267, F16, 51) (dual of [267, 175, 52]-code) [i]
240Linear OA(1670, 268, F16, 37) (dual of [268, 198, 38]-code) [i]
241Linear OA(1668, 268, F16, 36) (dual of [268, 200, 37]-code) [i]
242Linear OA(1666, 268, F16, 35) (dual of [268, 202, 36]-code) [i]
243Linear OA(1665, 269, F16, 34) (dual of [269, 204, 35]-code) [i]
244Linear OA(16128, 272, F16, 74) (dual of [272, 144, 75]-code) [i]
245Linear OA(16103, 272, F16, 57) (dual of [272, 169, 58]-code) [i]
246Linear OA(1676, 272, F16, 40) (dual of [272, 196, 41]-code) [i]
247Linear OA(1658, 98, F16, 35) (dual of [98, 40, 36]-code) [i]
248Linear OA(1653, 99, F16, 30) (dual of [99, 46, 31]-code) [i]
249Linear OA(1651, 99, F16, 29) (dual of [99, 48, 30]-code) [i]