Information on Result #604638

Linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using dual of repetition code with length 2

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(464, 91, F4, 31) (dual of [91, 27, 32]-code) [i]Construction XX with Cyclic Codes
2Linear OA(4211, 220, F4, 144) (dual of [220, 9, 145]-code) [i]
3Linear OA(4132, 269, F4, 45) (dual of [269, 137, 46]-code) [i]Construction XX with a Chain of Cyclic Codes
4Linear OA(4133, 286, F4, 43) (dual of [286, 153, 44]-code) [i]
5Linear OA(4130, 283, F4, 42) (dual of [283, 153, 43]-code) [i]
6Linear OA(4119, 272, F4, 41) (dual of [272, 153, 42]-code) [i]
7Linear OA(4116, 269, F4, 39) (dual of [269, 153, 40]-code) [i]
8Linear OA(4106, 275, F4, 35) (dual of [275, 169, 36]-code) [i]
9Linear OA(4103, 272, F4, 33) (dual of [272, 169, 34]-code) [i]
10Linear OA(4100, 269, F4, 31) (dual of [269, 169, 32]-code) [i]
11Linear OA(4112, 289, F4, 35) (dual of [289, 177, 36]-code) [i]
12Linear OA(492, 269, F4, 29) (dual of [269, 177, 30]-code) [i]
13Linear OA(479, 272, F4, 25) (dual of [272, 193, 26]-code) [i]
14Linear OA(476, 269, F4, 23) (dual of [269, 193, 24]-code) [i]
15Linear OA(468, 269, F4, 21) (dual of [269, 201, 22]-code) [i]
16Linear OA(455, 272, F4, 17) (dual of [272, 217, 18]-code) [i]
17Linear OA(452, 269, F4, 15) (dual of [269, 217, 16]-code) [i]
18Linear OA(444, 269, F4, 13) (dual of [269, 225, 14]-code) [i]
19Linear OA(4251, 65547, F4, 42) (dual of [65547, 65296, 43]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(4248, 65568, F4, 41) (dual of [65568, 65320, 42]-code) [i]
21Linear OA(4236, 65556, F4, 39) (dual of [65556, 65320, 40]-code) [i]
22Linear OA(4227, 65547, F4, 38) (dual of [65547, 65320, 39]-code) [i]
23Linear OA(4224, 65568, F4, 37) (dual of [65568, 65344, 38]-code) [i]
24Linear OA(4203, 65547, F4, 34) (dual of [65547, 65344, 35]-code) [i]
25Linear OA(4200, 65568, F4, 33) (dual of [65568, 65368, 34]-code) [i]
26Linear OA(4188, 65556, F4, 31) (dual of [65556, 65368, 32]-code) [i]
27Linear OA(4179, 65547, F4, 30) (dual of [65547, 65368, 31]-code) [i]
28Linear OA(4176, 65568, F4, 29) (dual of [65568, 65392, 30]-code) [i]
29Linear OA(4155, 65547, F4, 26) (dual of [65547, 65392, 27]-code) [i]
30Linear OA(4152, 65568, F4, 25) (dual of [65568, 65416, 26]-code) [i]
31Linear OA(4140, 65556, F4, 23) (dual of [65556, 65416, 24]-code) [i]
32Linear OA(4131, 65547, F4, 22) (dual of [65547, 65416, 23]-code) [i]
33Linear OA(4128, 65568, F4, 21) (dual of [65568, 65440, 22]-code) [i]
34Linear OA(4107, 65547, F4, 18) (dual of [65547, 65440, 19]-code) [i]
35Linear OA(4104, 65568, F4, 17) (dual of [65568, 65464, 18]-code) [i]
36Linear OA(483, 65547, F4, 14) (dual of [65547, 65464, 15]-code) [i]
37Linear OA(480, 65568, F4, 13) (dual of [65568, 65488, 14]-code) [i]
38Linear OA(459, 65547, F4, 10) (dual of [65547, 65488, 11]-code) [i]
39Linear OA(4260, 16413, F4, 49) (dual of [16413, 16153, 50]-code) [i]
40Linear OA(4249, 16402, F4, 47) (dual of [16402, 16153, 48]-code) [i]
41Linear OA(4241, 16394, F4, 46) (dual of [16394, 16153, 47]-code) [i]
42Linear OA(4239, 16413, F4, 45) (dual of [16413, 16174, 46]-code) [i]
43Linear OA(4220, 16394, F4, 42) (dual of [16394, 16174, 43]-code) [i]
44Linear OA(4218, 16413, F4, 41) (dual of [16413, 16195, 42]-code) [i]
45Linear OA(4207, 16402, F4, 39) (dual of [16402, 16195, 40]-code) [i]
46Linear OA(4199, 16394, F4, 38) (dual of [16394, 16195, 39]-code) [i]
47Linear OA(4197, 16413, F4, 37) (dual of [16413, 16216, 38]-code) [i]
48Linear OA(4178, 16394, F4, 34) (dual of [16394, 16216, 35]-code) [i]
49Linear OA(4176, 16413, F4, 33) (dual of [16413, 16237, 34]-code) [i]
50Linear OA(4165, 16402, F4, 31) (dual of [16402, 16237, 32]-code) [i]
51Linear OA(4157, 16394, F4, 30) (dual of [16394, 16237, 31]-code) [i]
52Linear OA(4155, 16413, F4, 29) (dual of [16413, 16258, 30]-code) [i]
53Linear OA(4136, 16394, F4, 26) (dual of [16394, 16258, 27]-code) [i]
54Linear OA(4134, 16413, F4, 25) (dual of [16413, 16279, 26]-code) [i]
55Linear OA(4123, 16402, F4, 23) (dual of [16402, 16279, 24]-code) [i]
56Linear OA(4115, 16394, F4, 22) (dual of [16394, 16279, 23]-code) [i]
57Linear OA(4113, 16413, F4, 21) (dual of [16413, 16300, 22]-code) [i]
58Linear OA(494, 16394, F4, 18) (dual of [16394, 16300, 19]-code) [i]
59Linear OA(492, 16413, F4, 17) (dual of [16413, 16321, 18]-code) [i]
60Linear OA(473, 16394, F4, 14) (dual of [16394, 16321, 15]-code) [i]
61Linear OA(471, 16413, F4, 13) (dual of [16413, 16342, 14]-code) [i]
62Linear OA(452, 16394, F4, 10) (dual of [16394, 16342, 11]-code) [i]
63Linear OA(4260, 4122, F4, 57) (dual of [4122, 3862, 58]-code) [i]
64Linear OA(4250, 4112, F4, 55) (dual of [4112, 3862, 56]-code) [i]
65Linear OA(4243, 4105, F4, 54) (dual of [4105, 3862, 55]-code) [i]
66Linear OA(4250, 4130, F4, 54) (dual of [4130, 3880, 55]-code) [i]
67Linear OA(4242, 4122, F4, 53) (dual of [4122, 3880, 54]-code) [i]
68Linear OA(4225, 4105, F4, 50) (dual of [4105, 3880, 51]-code) [i]
69Linear OA(4232, 4130, F4, 50) (dual of [4130, 3898, 51]-code) [i]
70Linear OA(4224, 4122, F4, 49) (dual of [4122, 3898, 50]-code) [i]
71Linear OA(4214, 4112, F4, 47) (dual of [4112, 3898, 48]-code) [i]
72Linear OA(4207, 4105, F4, 46) (dual of [4105, 3898, 47]-code) [i]
73Linear OA(4214, 4130, F4, 46) (dual of [4130, 3916, 47]-code) [i]
74Linear OA(4206, 4122, F4, 45) (dual of [4122, 3916, 46]-code) [i]
75Linear OA(4189, 4105, F4, 42) (dual of [4105, 3916, 43]-code) [i]
76Linear OA(4196, 4130, F4, 42) (dual of [4130, 3934, 43]-code) [i]
77Linear OA(4188, 4122, F4, 41) (dual of [4122, 3934, 42]-code) [i]
78Linear OA(4178, 4112, F4, 39) (dual of [4112, 3934, 40]-code) [i]
79Linear OA(4171, 4105, F4, 38) (dual of [4105, 3934, 39]-code) [i]
80Linear OA(4178, 4130, F4, 38) (dual of [4130, 3952, 39]-code) [i]
81Linear OA(4170, 4122, F4, 37) (dual of [4122, 3952, 38]-code) [i]
82Linear OA(4153, 4105, F4, 34) (dual of [4105, 3952, 35]-code) [i]
83Linear OA(4160, 4130, F4, 34) (dual of [4130, 3970, 35]-code) [i]
84Linear OA(4152, 4122, F4, 33) (dual of [4122, 3970, 34]-code) [i]
85Linear OA(4142, 4112, F4, 31) (dual of [4112, 3970, 32]-code) [i]
86Linear OA(4135, 4105, F4, 30) (dual of [4105, 3970, 31]-code) [i]
87Linear OA(4142, 4130, F4, 30) (dual of [4130, 3988, 31]-code) [i]
88Linear OA(4134, 4122, F4, 29) (dual of [4122, 3988, 30]-code) [i]
89Linear OA(4117, 4105, F4, 26) (dual of [4105, 3988, 27]-code) [i]
90Linear OA(4124, 4130, F4, 26) (dual of [4130, 4006, 27]-code) [i]
91Linear OA(4116, 4122, F4, 25) (dual of [4122, 4006, 26]-code) [i]
92Linear OA(4106, 4112, F4, 23) (dual of [4112, 4006, 24]-code) [i]
93Linear OA(499, 4105, F4, 22) (dual of [4105, 4006, 23]-code) [i]
94Linear OA(4106, 4130, F4, 22) (dual of [4130, 4024, 23]-code) [i]
95Linear OA(498, 4122, F4, 21) (dual of [4122, 4024, 22]-code) [i]
96Linear OA(481, 4105, F4, 18) (dual of [4105, 4024, 19]-code) [i]
97Linear OA(488, 4130, F4, 18) (dual of [4130, 4042, 19]-code) [i]
98Linear OA(480, 4122, F4, 17) (dual of [4122, 4042, 18]-code) [i]
99Linear OA(470, 4112, F4, 15) (dual of [4112, 4042, 16]-code) [i]
100Linear OA(463, 4105, F4, 14) (dual of [4105, 4042, 15]-code) [i]
101Linear OA(462, 4122, F4, 13) (dual of [4122, 4060, 14]-code) [i]
102Linear OA(445, 4105, F4, 10) (dual of [4105, 4060, 11]-code) [i]
103Linear OA(4255, 1375, F4, 58) (dual of [1375, 1120, 59]-code) [i]
104Linear OA(4244, 1382, F4, 55) (dual of [1382, 1138, 56]-code) [i]
105Linear OA(4237, 1375, F4, 54) (dual of [1375, 1138, 55]-code) [i]
106Linear OA(4226, 1382, F4, 51) (dual of [1382, 1156, 52]-code) [i]
107Linear OA(4219, 1375, F4, 50) (dual of [1375, 1156, 51]-code) [i]
108Linear OA(4256, 1055, F4, 69) (dual of [1055, 799, 70]-code) [i]
109Linear OA(4253, 1052, F4, 67) (dual of [1052, 799, 68]-code) [i]
110Linear OA(4250, 1049, F4, 66) (dual of [1049, 799, 67]-code) [i]
111Linear OA(4248, 1047, F4, 65) (dual of [1047, 799, 66]-code) [i]
112Linear OA(4246, 1045, F4, 64) (dual of [1045, 799, 65]-code) [i]
113Linear OA(4239, 1038, F4, 63) (dual of [1038, 799, 64]-code) [i]
114Linear OA(4233, 1032, F4, 62) (dual of [1032, 799, 63]-code) [i]
115Linear OA(4240, 1054, F4, 62) (dual of [1054, 814, 63]-code) [i]
116Linear OA(4233, 1047, F4, 61) (dual of [1047, 814, 62]-code) [i]
117Linear OA(4231, 1045, F4, 60) (dual of [1045, 814, 61]-code) [i]
118Linear OA(4218, 1032, F4, 58) (dual of [1032, 814, 59]-code) [i]
119Linear OA(4225, 1054, F4, 58) (dual of [1054, 829, 59]-code) [i]
120Linear OA(4218, 1047, F4, 57) (dual of [1047, 829, 58]-code) [i]
121Linear OA(4216, 1045, F4, 56) (dual of [1045, 829, 57]-code) [i]
122Linear OA(4209, 1038, F4, 55) (dual of [1038, 829, 56]-code) [i]
123Linear OA(4203, 1032, F4, 54) (dual of [1032, 829, 55]-code) [i]
124Linear OA(4210, 1054, F4, 54) (dual of [1054, 844, 55]-code) [i]
125Linear OA(4203, 1047, F4, 53) (dual of [1047, 844, 54]-code) [i]
126Linear OA(4201, 1045, F4, 52) (dual of [1045, 844, 53]-code) [i]
127Linear OA(4188, 1032, F4, 50) (dual of [1032, 844, 51]-code) [i]
128Linear OA(4195, 1054, F4, 50) (dual of [1054, 859, 51]-code) [i]
129Linear OA(4188, 1047, F4, 49) (dual of [1047, 859, 50]-code) [i]
130Linear OA(4186, 1045, F4, 48) (dual of [1045, 859, 49]-code) [i]
131Linear OA(4179, 1038, F4, 47) (dual of [1038, 859, 48]-code) [i]
132Linear OA(4173, 1032, F4, 46) (dual of [1032, 859, 47]-code) [i]
133Linear OA(4180, 1054, F4, 46) (dual of [1054, 874, 47]-code) [i]
134Linear OA(4173, 1047, F4, 45) (dual of [1047, 874, 46]-code) [i]
135Linear OA(4171, 1045, F4, 44) (dual of [1045, 874, 45]-code) [i]
136Linear OA(4158, 1032, F4, 42) (dual of [1032, 874, 43]-code) [i]
137Linear OA(4165, 1054, F4, 42) (dual of [1054, 889, 43]-code) [i]
138Linear OA(4158, 1047, F4, 41) (dual of [1047, 889, 42]-code) [i]
139Linear OA(4156, 1045, F4, 40) (dual of [1045, 889, 41]-code) [i]
140Linear OA(4149, 1038, F4, 39) (dual of [1038, 889, 40]-code) [i]
141Linear OA(4143, 1032, F4, 38) (dual of [1032, 889, 39]-code) [i]
142Linear OA(4150, 1054, F4, 38) (dual of [1054, 904, 39]-code) [i]
143Linear OA(4143, 1047, F4, 37) (dual of [1047, 904, 38]-code) [i]
144Linear OA(4141, 1045, F4, 36) (dual of [1045, 904, 37]-code) [i]
145Linear OA(4128, 1032, F4, 34) (dual of [1032, 904, 35]-code) [i]
146Linear OA(4135, 1054, F4, 34) (dual of [1054, 919, 35]-code) [i]
147Linear OA(4128, 1047, F4, 33) (dual of [1047, 919, 34]-code) [i]
148Linear OA(4126, 1045, F4, 32) (dual of [1045, 919, 33]-code) [i]
149Linear OA(4119, 1038, F4, 31) (dual of [1038, 919, 32]-code) [i]
150Linear OA(4113, 1032, F4, 30) (dual of [1032, 919, 31]-code) [i]
151Linear OA(4120, 1054, F4, 30) (dual of [1054, 934, 31]-code) [i]
152Linear OA(4113, 1047, F4, 29) (dual of [1047, 934, 30]-code) [i]
153Linear OA(4111, 1045, F4, 28) (dual of [1045, 934, 29]-code) [i]
154Linear OA(498, 1032, F4, 26) (dual of [1032, 934, 27]-code) [i]
155Linear OA(4105, 1054, F4, 26) (dual of [1054, 949, 27]-code) [i]
156Linear OA(498, 1047, F4, 25) (dual of [1047, 949, 26]-code) [i]
157Linear OA(496, 1045, F4, 24) (dual of [1045, 949, 25]-code) [i]
158Linear OA(489, 1038, F4, 23) (dual of [1038, 949, 24]-code) [i]
159Linear OA(483, 1032, F4, 22) (dual of [1032, 949, 23]-code) [i]
160Linear OA(490, 1054, F4, 22) (dual of [1054, 964, 23]-code) [i]
161Linear OA(483, 1047, F4, 21) (dual of [1047, 964, 22]-code) [i]
162Linear OA(481, 1045, F4, 20) (dual of [1045, 964, 21]-code) [i]
163Linear OA(468, 1032, F4, 18) (dual of [1032, 964, 19]-code) [i]
164Linear OA(475, 1054, F4, 18) (dual of [1054, 979, 19]-code) [i]
165Linear OA(468, 1047, F4, 17) (dual of [1047, 979, 18]-code) [i]
166Linear OA(466, 1045, F4, 16) (dual of [1045, 979, 17]-code) [i]
167Linear OA(459, 1038, F4, 15) (dual of [1038, 979, 16]-code) [i]
168Linear OA(453, 1032, F4, 14) (dual of [1032, 979, 15]-code) [i]
169Linear OA(460, 1054, F4, 14) (dual of [1054, 994, 15]-code) [i]
170Linear OA(453, 1047, F4, 13) (dual of [1047, 994, 14]-code) [i]
171Linear OA(451, 1045, F4, 12) (dual of [1045, 994, 13]-code) [i]
172Linear OA(438, 1032, F4, 10) (dual of [1032, 994, 11]-code) [i]
173Linear OA(423, 1032, F4, 6) (dual of [1032, 1009, 7]-code) [i]
174Linear OA(489, 351, F4, 25) (dual of [351, 262, 26]-code) [i]
175Linear OA(4150, 268, F4, 55) (dual of [268, 118, 56]-code) [i]
176Linear OA(4145, 263, F4, 54) (dual of [263, 118, 55]-code) [i]
177Linear OA(4145, 277, F4, 50) (dual of [277, 132, 51]-code) [i]
178Linear OA(4143, 275, F4, 49) (dual of [275, 132, 50]-code) [i]
179Linear OA(4136, 268, F4, 47) (dual of [268, 132, 48]-code) [i]
180Linear OA(4131, 263, F4, 46) (dual of [263, 132, 47]-code) [i]
181Linear OA(4138, 282, F4, 46) (dual of [282, 144, 47]-code) [i]
182Linear OA(4131, 275, F4, 45) (dual of [275, 144, 46]-code) [i]
183Linear OA(4133, 289, F4, 43) (dual of [289, 156, 44]-code) [i]
184Linear OA(4119, 263, F4, 42) (dual of [263, 144, 43]-code) [i]
185Linear OA(4126, 282, F4, 42) (dual of [282, 156, 43]-code) [i]
186Linear OA(4119, 275, F4, 41) (dual of [275, 156, 42]-code) [i]
187Linear OA(4112, 268, F4, 39) (dual of [268, 156, 40]-code) [i]
188Linear OA(4107, 263, F4, 38) (dual of [263, 156, 39]-code) [i]
189Linear OA(4116, 290, F4, 37) (dual of [290, 174, 38]-code) [i]
190Linear OA(4103, 277, F4, 34) (dual of [277, 174, 35]-code) [i]
191Linear OA(4101, 275, F4, 33) (dual of [275, 174, 34]-code) [i]
192Linear OA(494, 268, F4, 31) (dual of [268, 174, 32]-code) [i]
193Linear OA(489, 263, F4, 30) (dual of [263, 174, 31]-code) [i]
194Linear OA(496, 282, F4, 30) (dual of [282, 186, 31]-code) [i]
195Linear OA(489, 275, F4, 29) (dual of [275, 186, 30]-code) [i]
196Linear OA(482, 268, F4, 27) (dual of [268, 186, 28]-code) [i]
197Linear OA(477, 263, F4, 26) (dual of [263, 186, 27]-code) [i]
198Linear OA(484, 282, F4, 26) (dual of [282, 198, 27]-code) [i]
199Linear OA(477, 275, F4, 25) (dual of [275, 198, 26]-code) [i]
200Linear OA(470, 268, F4, 23) (dual of [268, 198, 24]-code) [i]
201Linear OA(465, 263, F4, 22) (dual of [263, 198, 23]-code) [i]
202Linear OA(471, 279, F4, 22) (dual of [279, 208, 23]-code) [i]
203Linear OA(465, 273, F4, 21) (dual of [273, 208, 22]-code) [i]
204Linear OA(459, 279, F4, 18) (dual of [279, 220, 19]-code) [i]
205Linear OA(455, 275, F4, 17) (dual of [275, 220, 18]-code) [i]
206Linear OA(448, 268, F4, 15) (dual of [268, 220, 16]-code) [i]
207Linear OA(443, 263, F4, 14) (dual of [263, 220, 15]-code) [i]
208Linear OA(443, 275, F4, 13) (dual of [275, 232, 14]-code) [i]
209Linear OA(431, 263, F4, 10) (dual of [263, 232, 11]-code) [i]
210Linear OA(419, 263, F4, 6) (dual of [263, 244, 7]-code) [i]
211Linear OA(449, 86, F4, 21) (dual of [86, 37, 22]-code) [i]
212Linear OA(433, 70, F4, 14) (dual of [70, 37, 15]-code) [i]
213Linear OA(424, 70, F4, 10) (dual of [70, 46, 11]-code) [i]
214Linear OA(415, 70, F4, 6) (dual of [70, 55, 7]-code) [i]
215Linear OA(4253, 1052, F4, 68) (dual of [1052, 799, 69]-code) [i]
216Linear OA(4251, 1050, F4, 67) (dual of [1050, 799, 68]-code) [i]
217Linear OA(4146, 278, F4, 51) (dual of [278, 132, 52]-code) [i]