Information on Result #610758

Linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using a code by Danev and Olsson

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(532, 147, F5, 11) (dual of [147, 115, 12]-code) [i](u, u+v)-Construction
2Linear OA(556, 15647, F5, 11) (dual of [15647, 15591, 12]-code) [i]
3Linear OA(564, 78147, F5, 11) (dual of [78147, 78083, 12]-code) [i]
4Linear OA(572, 390647, F5, 11) (dual of [390647, 390575, 12]-code) [i]
5Linear OA(580, 1953147, F5, 11) (dual of [1953147, 1953067, 12]-code) [i]
6Linear OA(511, 63, F5, 5) (dual of [63, 52, 6]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(5116, 15647, F5, 23) (dual of [15647, 15531, 24]-code) [i]Construction X with Cyclic Codes
8Linear OA(5104, 15647, F5, 21) (dual of [15647, 15543, 22]-code) [i]
9Linear OA(568, 15647, F5, 13) (dual of [15647, 15579, 14]-code) [i]
10Linear OA(5138, 3147, F5, 33) (dual of [3147, 3009, 34]-code) [i]
11Linear OA(5128, 3147, F5, 31) (dual of [3147, 3019, 32]-code) [i]
12Linear OA(598, 3147, F5, 23) (dual of [3147, 3049, 24]-code) [i]
13Linear OA(588, 3147, F5, 21) (dual of [3147, 3059, 22]-code) [i]
14Linear OA(558, 3147, F5, 13) (dual of [3147, 3089, 14]-code) [i]
15Linear OA(5144, 647, F5, 43) (dual of [647, 503, 44]-code) [i]
16Linear OA(5136, 647, F5, 41) (dual of [647, 511, 42]-code) [i]
17Linear OA(5112, 647, F5, 33) (dual of [647, 535, 34]-code) [i]
18Linear OA(5104, 647, F5, 31) (dual of [647, 543, 32]-code) [i]
19Linear OA(580, 647, F5, 23) (dual of [647, 567, 24]-code) [i]
20Linear OA(572, 647, F5, 21) (dual of [647, 575, 22]-code) [i]
21Linear OA(548, 647, F5, 13) (dual of [647, 599, 14]-code) [i]
22Linear OA(5118, 145, F5, 69) (dual of [145, 27, 70]-code) [i]
23Linear OA(556, 145, F5, 21) (dual of [145, 89, 22]-code) [i]
24Linear OA(535, 147, F5, 12) (dual of [147, 112, 13]-code) [i]Construction XX with Cyclic Codes
25Linear OA(544, 148, F5, 15) (dual of [148, 104, 16]-code) [i]
26Linear OA(545, 148, F5, 16) (dual of [148, 103, 17]-code) [i]
27Linear OA(548, 149, F5, 17) (dual of [149, 101, 18]-code) [i]
28Linear OA(547, 147, F5, 17) (dual of [147, 100, 18]-code) [i]
29Linear OA(550, 148, F5, 18) (dual of [148, 98, 19]-code) [i]
30Linear OA(551, 151, F5, 18) (dual of [151, 100, 19]-code) [i]
31Linear OA(554, 152, F5, 19) (dual of [152, 98, 20]-code) [i]
32Linear OA(553, 148, F5, 19) (dual of [148, 95, 20]-code) [i]
33Linear OA(557, 152, F5, 20) (dual of [152, 95, 21]-code) [i]
34Linear OA(557, 148, F5, 21) (dual of [148, 91, 22]-code) [i]
35Linear OA(560, 149, F5, 22) (dual of [149, 89, 23]-code) [i]
36Linear OA(559, 147, F5, 22) (dual of [147, 88, 23]-code) [i]
37Linear OA(563, 151, F5, 23) (dual of [151, 88, 24]-code) [i]
38Linear OA(585, 152, F5, 36) (dual of [152, 67, 37]-code) [i]
39Linear OA(585, 148, F5, 39) (dual of [148, 63, 40]-code) [i]
40Linear OA(584, 146, F5, 39) (dual of [146, 62, 40]-code) [i]
41Linear OA(588, 150, F5, 40) (dual of [150, 62, 41]-code) [i]
42Linear OA(587, 146, F5, 40) (dual of [146, 59, 41]-code) [i]
43Linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code) [i]
44Linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code) [i]
45Linear OA(599, 163, F5, 43) (dual of [163, 64, 44]-code) [i]
46Linear OA(593, 156, F5, 42) (dual of [156, 63, 43]-code) [i]
47Linear OA(591, 154, F5, 41) (dual of [154, 63, 42]-code) [i]
48Linear OA(5103, 167, F5, 44) (dual of [167, 64, 45]-code) [i]
49Linear OA(591, 151, F5, 42) (dual of [151, 60, 43]-code) [i]
50Linear OA(589, 146, F5, 42) (dual of [146, 57, 43]-code) [i]
51Linear OA(5110, 170, F5, 47) (dual of [170, 60, 48]-code) [i]
52Linear OA(597, 160, F5, 43) (dual of [160, 63, 44]-code) [i]
53Linear OA(597, 160, F5, 43) (dual of [160, 63, 44]-code) [i]
54Linear OA(596, 158, F5, 43) (dual of [158, 62, 44]-code) [i]
55Linear OA(594, 153, F5, 43) (dual of [153, 59, 44]-code) [i]
56Linear OA(592, 148, F5, 43) (dual of [148, 56, 44]-code) [i]
57Linear OA(5109, 170, F5, 46) (dual of [170, 61, 47]-code) [i]
58Linear OA(5106, 167, F5, 45) (dual of [167, 61, 46]-code) [i]
59Linear OA(5109, 169, F5, 47) (dual of [169, 60, 48]-code) [i]
60Linear OA(5106, 169, F5, 45) (dual of [169, 63, 46]-code) [i]
61Linear OA(5100, 162, F5, 44) (dual of [162, 62, 45]-code) [i]
62Linear OA(5100, 162, F5, 44) (dual of [162, 62, 45]-code) [i]
63Linear OA(5105, 167, F5, 45) (dual of [167, 62, 46]-code) [i]
64Linear OA(5112, 171, F5, 48) (dual of [171, 59, 49]-code) [i]
65Linear OA(593, 146, F5, 44) (dual of [146, 53, 45]-code) [i]
66Linear OA(594, 148, F5, 44) (dual of [148, 54, 45]-code) [i]
67Linear OA(5108, 168, F5, 47) (dual of [168, 60, 48]-code) [i]
68Linear OA(5106, 166, F5, 46) (dual of [166, 60, 47]-code) [i]
69Linear OA(597, 150, F5, 45) (dual of [150, 53, 46]-code) [i]
70Linear OA(596, 146, F5, 45) (dual of [146, 50, 46]-code) [i]
71Linear OA(5111, 170, F5, 48) (dual of [170, 59, 49]-code) [i]
72Linear OA(5106, 163, F5, 47) (dual of [163, 57, 48]-code) [i]
73Linear OA(5109, 165, F5, 48) (dual of [165, 56, 49]-code) [i]
74Linear OA(5102, 156, F5, 47) (dual of [156, 54, 48]-code) [i]
75Linear OA(5100, 154, F5, 46) (dual of [154, 54, 47]-code) [i]
76Linear OA(5100, 151, F5, 47) (dual of [151, 51, 48]-code) [i]
77Linear OA(598, 146, F5, 47) (dual of [146, 48, 48]-code) [i]
78Linear OA(5105, 158, F5, 48) (dual of [158, 53, 49]-code) [i]
79Linear OA(5103, 153, F5, 48) (dual of [153, 50, 49]-code) [i]
80Linear OA(5101, 148, F5, 48) (dual of [148, 47, 49]-code) [i]
81Linear OA(5106, 160, F5, 48) (dual of [160, 54, 49]-code) [i]
82Linear OA(5106, 160, F5, 48) (dual of [160, 54, 49]-code) [i]
83Linear OA(5109, 162, F5, 49) (dual of [162, 53, 50]-code) [i]
84Linear OA(5109, 162, F5, 49) (dual of [162, 53, 50]-code) [i]
85Linear OA(5102, 146, F5, 49) (dual of [146, 44, 50]-code) [i]
86Linear OA(5103, 148, F5, 49) (dual of [148, 45, 50]-code) [i]
87Linear OA(5119, 145, F5, 70) (dual of [145, 26, 71]-code) [i]
88Linear OA(5118, 143, F5, 70) (dual of [143, 25, 71]-code) [i]
89Linear OA(5123, 149, F5, 73) (dual of [149, 26, 74]-code) [i]
90Linear OA(5121, 144, F5, 73) (dual of [144, 23, 74]-code) [i]
91Linear OA(5138, 165, F5, 78) (dual of [165, 27, 79]-code) [i]
92Linear OA(5126, 151, F5, 74) (dual of [151, 25, 75]-code) [i]
93Linear OA(5124, 146, F5, 74) (dual of [146, 22, 75]-code) [i]
94Linear OA(5140, 165, F5, 79) (dual of [165, 25, 80]-code) [i]
95Linear OA(5124, 143, F5, 75) (dual of [143, 19, 76]-code) [i]
96Linear OA(5134, 337, F5, 43) (dual of [337, 203, 44]-code) [i]
97Linear OA(544, 649, F5, 12) (dual of [649, 605, 13]-code) [i]
98Linear OA(548, 649, F5, 13) (dual of [649, 601, 14]-code) [i]
99Linear OA(549, 654, F5, 13) (dual of [654, 605, 14]-code) [i]
100Linear OA(553, 654, F5, 14) (dual of [654, 601, 15]-code) [i]
101Linear OA(552, 649, F5, 14) (dual of [649, 597, 15]-code) [i]
102Linear OA(557, 654, F5, 15) (dual of [654, 597, 16]-code) [i]
103Linear OA(559, 656, F5, 16) (dual of [656, 597, 17]-code) [i]
104Linear OA(557, 650, F5, 16) (dual of [650, 593, 17]-code) [i]
105Linear OA(564, 661, F5, 17) (dual of [661, 597, 18]-code) [i]
106Linear OA(560, 649, F5, 17) (dual of [649, 589, 18]-code) [i]
107Linear OA(564, 649, F5, 18) (dual of [649, 585, 19]-code) [i]
108Linear OA(565, 654, F5, 18) (dual of [654, 589, 19]-code) [i]
109Linear OA(569, 654, F5, 19) (dual of [654, 585, 20]-code) [i]
110Linear OA(568, 649, F5, 19) (dual of [649, 581, 20]-code) [i]
111Linear OA(575, 660, F5, 20) (dual of [660, 585, 21]-code) [i]
112Linear OA(573, 654, F5, 20) (dual of [654, 581, 21]-code) [i]
113Linear OA(576, 665, F5, 20) (dual of [665, 589, 21]-code) [i]
114Linear OA(576, 661, F5, 21) (dual of [661, 585, 22]-code) [i]
115Linear OA(575, 656, F5, 21) (dual of [656, 581, 22]-code) [i]
116Linear OA(580, 661, F5, 22) (dual of [661, 581, 23]-code) [i]
117Linear OA(576, 649, F5, 22) (dual of [649, 573, 23]-code) [i]
118Linear OA(580, 649, F5, 23) (dual of [649, 569, 24]-code) [i]
119Linear OA(581, 654, F5, 23) (dual of [654, 573, 24]-code) [i]
120Linear OA(585, 654, F5, 24) (dual of [654, 569, 25]-code) [i]
121Linear OA(584, 649, F5, 24) (dual of [649, 565, 25]-code) [i]
122Linear OA(591, 660, F5, 25) (dual of [660, 569, 26]-code) [i]
123Linear OA(589, 654, F5, 25) (dual of [654, 565, 26]-code) [i]
124Linear OA(592, 665, F5, 25) (dual of [665, 573, 26]-code) [i]
125Linear OA(592, 661, F5, 26) (dual of [661, 569, 27]-code) [i]
126Linear OA(591, 656, F5, 26) (dual of [656, 565, 27]-code) [i]
127Linear OA(589, 650, F5, 26) (dual of [650, 561, 27]-code) [i]
128Linear OA(596, 661, F5, 27) (dual of [661, 565, 28]-code) [i]
129Linear OA(595, 651, F5, 28) (dual of [651, 556, 29]-code) [i]
130Linear OA(594, 649, F5, 28) (dual of [649, 555, 29]-code) [i]
131Linear OA(599, 651, F5, 29) (dual of [651, 552, 30]-code) [i]
132Linear OA(598, 649, F5, 29) (dual of [649, 551, 30]-code) [i]
133Linear OA(599, 654, F5, 29) (dual of [654, 555, 30]-code) [i]
134Linear OA(5103, 651, F5, 30) (dual of [651, 548, 31]-code) [i]
135Linear OA(5102, 649, F5, 30) (dual of [649, 547, 31]-code) [i]
136Linear OA(5103, 654, F5, 30) (dual of [654, 551, 31]-code) [i]
137Linear OA(5106, 662, F5, 30) (dual of [662, 556, 31]-code) [i]
138Linear OA(5108, 661, F5, 31) (dual of [661, 553, 32]-code) [i]
139Linear OA(5107, 656, F5, 31) (dual of [656, 549, 32]-code) [i]
140Linear OA(5115, 672, F5, 32) (dual of [672, 557, 33]-code) [i]
141Linear OA(5112, 665, F5, 32) (dual of [665, 553, 33]-code) [i]
142Linear OA(5110, 659, F5, 32) (dual of [659, 549, 33]-code) [i]
143Linear OA(5110, 661, F5, 32) (dual of [661, 551, 33]-code) [i]
144Linear OA(5111, 652, F5, 33) (dual of [652, 541, 34]-code) [i]
145Linear OA(5110, 649, F5, 33) (dual of [649, 539, 34]-code) [i]
146Linear OA(5115, 652, F5, 34) (dual of [652, 537, 35]-code) [i]
147Linear OA(5114, 649, F5, 34) (dual of [649, 535, 35]-code) [i]
148Linear OA(5115, 654, F5, 34) (dual of [654, 539, 35]-code) [i]
149Linear OA(5119, 654, F5, 35) (dual of [654, 535, 36]-code) [i]
150Linear OA(5122, 661, F5, 36) (dual of [661, 539, 37]-code) [i]
151Linear OA(5121, 656, F5, 36) (dual of [656, 535, 37]-code) [i]
152Linear OA(5119, 650, F5, 36) (dual of [650, 531, 37]-code) [i]
153Linear OA(5126, 661, F5, 37) (dual of [661, 535, 38]-code) [i]
154Linear OA(5122, 649, F5, 37) (dual of [649, 527, 38]-code) [i]
155Linear OA(5126, 649, F5, 38) (dual of [649, 523, 39]-code) [i]
156Linear OA(5127, 654, F5, 38) (dual of [654, 527, 39]-code) [i]
157Linear OA(5131, 654, F5, 39) (dual of [654, 523, 40]-code) [i]
158Linear OA(5130, 649, F5, 39) (dual of [649, 519, 40]-code) [i]
159Linear OA(5137, 660, F5, 40) (dual of [660, 523, 41]-code) [i]
160Linear OA(5135, 654, F5, 40) (dual of [654, 519, 41]-code) [i]
161Linear OA(5138, 665, F5, 40) (dual of [665, 527, 41]-code) [i]
162Linear OA(5138, 661, F5, 41) (dual of [661, 523, 42]-code) [i]
163Linear OA(5137, 656, F5, 41) (dual of [656, 519, 42]-code) [i]
164Linear OA(5135, 650, F5, 41) (dual of [650, 515, 42]-code) [i]
165Linear OA(5142, 661, F5, 42) (dual of [661, 519, 43]-code) [i]
166Linear OA(5138, 649, F5, 42) (dual of [649, 511, 43]-code) [i]
167Linear OA(5142, 649, F5, 43) (dual of [649, 507, 44]-code) [i]
168Linear OA(5143, 654, F5, 43) (dual of [654, 511, 44]-code) [i]
169Linear OA(5147, 654, F5, 44) (dual of [654, 507, 45]-code) [i]
170Linear OA(5146, 649, F5, 44) (dual of [649, 503, 45]-code) [i]
171Linear OA(5120, 142, F5, 71) (dual of [142, 22, 72]-code) [i]Construction XX with a Chain of Cyclic Codes
172Linear OA(5134, 334, F5, 43) (dual of [334, 200, 44]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
173Linear OA(5130, 334, F5, 42) (dual of [334, 204, 43]-code) [i]
174Linear OA(5121, 141, F5, 74) (dual of [141, 20, 75]-code) [i]
175Linear OA(5118, 141, F5, 70) (dual of [141, 23, 71]-code) [i]
176Linear OA(5115, 141, F5, 69) (dual of [141, 26, 70]-code) [i]
177Linear OA(5112, 139, F5, 68) (dual of [139, 27, 69]-code) [i]
178Linear OA(568, 141, F5, 28) (dual of [141, 73, 29]-code) [i]
179Linear OA(599, 144, F5, 48) (dual of [144, 45, 49]-code) [i]
180Linear OA(596, 144, F5, 45) (dual of [144, 48, 46]-code) [i]
181Linear OA(593, 144, F5, 44) (dual of [144, 51, 45]-code) [i]
182Linear OA(590, 144, F5, 43) (dual of [144, 54, 44]-code) [i]
183Linear OA(587, 144, F5, 40) (dual of [144, 57, 41]-code) [i]
184Linear OA(584, 144, F5, 39) (dual of [144, 60, 40]-code) [i]
185Linear OA(581, 144, F5, 38) (dual of [144, 63, 39]-code) [i]
186Linear OA(578, 142, F5, 37) (dual of [142, 64, 38]-code) [i]
187Linear OA(559, 146, F5, 22) (dual of [146, 87, 23]-code) [i]
188Linear OA(553, 146, F5, 19) (dual of [146, 93, 20]-code) [i]
189Linear OA(550, 146, F5, 18) (dual of [146, 96, 19]-code) [i]
190Linear OA(547, 146, F5, 17) (dual of [146, 99, 18]-code) [i]
191Linear OA(544, 146, F5, 15) (dual of [146, 102, 16]-code) [i]
192Linear OA(535, 146, F5, 12) (dual of [146, 111, 13]-code) [i]
193Linear OA(526, 39, F5, 14) (dual of [39, 13, 15]-code) [i]
194Linear OA(524, 39, F5, 13) (dual of [39, 15, 14]-code) [i]
195Linear OA(5126, 148, F5, 74) (dual of [148, 22, 75]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
196Linear OA(5125, 146, F5, 74) (dual of [146, 21, 75]-code) [i]
197Linear OA(5119, 143, F5, 70) (dual of [143, 24, 71]-code) [i]
198Linear OA(5116, 143, F5, 69) (dual of [143, 27, 70]-code) [i]
199Linear OA(5103, 150, F5, 48) (dual of [150, 47, 49]-code) [i]
200Linear OA(5102, 148, F5, 48) (dual of [148, 46, 49]-code) [i]
201Linear OA(597, 146, F5, 45) (dual of [146, 49, 46]-code) [i]
202Linear OA(594, 146, F5, 44) (dual of [146, 52, 45]-code) [i]
203Linear OA(594, 150, F5, 43) (dual of [150, 56, 44]-code) [i]
204Linear OA(593, 148, F5, 43) (dual of [148, 55, 44]-code) [i]
205Linear OA(588, 146, F5, 40) (dual of [146, 58, 41]-code) [i]
206Linear OA(585, 146, F5, 39) (dual of [146, 61, 40]-code) [i]
207Linear OA(582, 146, F5, 38) (dual of [146, 64, 39]-code) [i]
208Linear OA(591, 156, F5, 38) (dual of [156, 65, 39]-code) [i]
209Linear OA(588, 153, F5, 37) (dual of [153, 65, 38]-code) [i]
210Linear OA(588, 155, F5, 37) (dual of [155, 67, 38]-code) [i]
211Linear OA(587, 153, F5, 37) (dual of [153, 66, 38]-code) [i]
212Linear OA(585, 150, F5, 37) (dual of [150, 65, 38]-code) [i]
213Linear OA(591, 159, F5, 37) (dual of [159, 68, 38]-code) [i]
214Linear OA(569, 140, F5, 29) (dual of [140, 71, 30]-code) [i]
215Linear OA(569, 143, F5, 28) (dual of [143, 74, 29]-code) [i]
216Linear OA(525, 41, F5, 13) (dual of [41, 16, 14]-code) [i]