Information on Result #605049

Linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using dual of repetition code with length 1

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(756, 65, F7, 41) (dual of [65, 9, 42]-code) [i]Construction XX with Cyclic Codes
2Linear OA(755, 63, F7, 41) (dual of [63, 8, 42]-code) [i]
3Linear OA(761, 76, F7, 38) (dual of [76, 15, 39]-code) [i]
4Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) [i]
5Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) [i]
6Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) [i]
7Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) [i]
8Linear OA(753, 61, F7, 40) (dual of [61, 8, 41]-code) [i]
9Linear OA(751, 59, F7, 39) (dual of [59, 8, 40]-code) [i]
10Linear OA(749, 57, F7, 38) (dual of [57, 8, 39]-code) [i]
11Linear OA(756, 72, F7, 34) (dual of [72, 16, 35]-code) [i]
12Linear OA(753, 68, F7, 34) (dual of [68, 15, 35]-code) [i]
13Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) [i]
14Linear OA(744, 53, F7, 34) (dual of [53, 9, 35]-code) [i]
15Linear OA(743, 51, F7, 34) (dual of [51, 8, 35]-code) [i]
16Linear OA(751, 67, F7, 33) (dual of [67, 16, 34]-code) [i]
17Linear OA(750, 65, F7, 33) (dual of [65, 15, 34]-code) [i]
18Linear OA(749, 62, F7, 33) (dual of [62, 13, 34]-code) [i]
19Linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code) [i]
20Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) [i]
21Linear OA(748, 63, F7, 32) (dual of [63, 15, 33]-code) [i]
22Linear OA(745, 60, F7, 30) (dual of [60, 15, 31]-code) [i]
23Linear OA(742, 57, F7, 28) (dual of [57, 15, 29]-code) [i]
24Linear OA(746, 59, F7, 32) (dual of [59, 13, 33]-code) [i]
25Linear OA(744, 57, F7, 31) (dual of [57, 13, 32]-code) [i]
26Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) [i]
27Linear OA(744, 55, F7, 32) (dual of [55, 11, 33]-code) [i]
28Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) [i]
29Linear OA(739, 54, F7, 27) (dual of [54, 15, 28]-code) [i]
30Linear OA(738, 51, F7, 27) (dual of [51, 13, 28]-code) [i]
31Linear OA(737, 53, F7, 26) (dual of [53, 16, 27]-code) [i]
32Linear OA(736, 51, F7, 26) (dual of [51, 15, 27]-code) [i]
33Linear OA(726, 31, F7, 20) (dual of [31, 5, 21]-code) [i]
34Linear OA(724, 31, F7, 17) (dual of [31, 7, 18]-code) [i]
35Linear OA(723, 31, F7, 16) (dual of [31, 8, 17]-code) [i]
36Linear OA(722, 29, F7, 16) (dual of [29, 7, 17]-code) [i]
37Linear OA(720, 30, F7, 13) (dual of [30, 10, 14]-code) [i]
38Linear OA(718, 26, F7, 13) (dual of [26, 8, 14]-code) [i]
39Linear OA(718, 26, F7, 13) (dual of [26, 8, 14]-code) [i]
40Linear OA(712, 18, F7, 9) (dual of [18, 6, 10]-code) [i]
41Linear OA(712, 18, F7, 9) (dual of [18, 6, 10]-code) [i]
42Linear OA(752, 60, F7, 40) (dual of [60, 8, 41]-code) [i]
43Linear OA(748, 61, F7, 33) (dual of [61, 13, 34]-code) [i]
44Linear OA(747, 62, F7, 32) (dual of [62, 15, 33]-code) [i]
45Linear OA(763, 76, F7, 39) (dual of [76, 13, 40]-code) [i]Construction XX with a Chain of Cyclic Codes
46Linear OA(763, 78, F7, 38) (dual of [78, 15, 39]-code) [i]
47Linear OA(752, 60, F7, 39) (dual of [60, 8, 40]-code) [i]
48Linear OA(749, 57, F7, 37) (dual of [57, 8, 38]-code) [i]
49Linear OA(762, 75, F7, 39) (dual of [75, 13, 40]-code) [i]
50Linear OA(756, 69, F7, 35) (dual of [69, 13, 36]-code) [i]
51Linear OA(762, 77, F7, 38) (dual of [77, 15, 39]-code) [i]
52Linear OA(754, 69, F7, 34) (dual of [69, 15, 35]-code) [i]
53Linear OA(748, 59, F7, 33) (dual of [59, 11, 34]-code) [i]
54Linear OA(747, 60, F7, 32) (dual of [60, 13, 33]-code) [i]
55Linear OA(744, 57, F7, 30) (dual of [57, 13, 31]-code) [i]
56Linear OA(745, 60, F7, 29) (dual of [60, 15, 30]-code) [i]
57Linear OA(769, 78, F7, 47) (dual of [78, 9, 48]-code) [i]
58Linear OA(764, 73, F7, 45) (dual of [73, 9, 46]-code) [i]
59Linear OA(758, 67, F7, 41) (dual of [67, 9, 42]-code) [i]
60Linear OA(751, 60, F7, 38) (dual of [60, 9, 39]-code) [i]
61Linear OA(748, 57, F7, 36) (dual of [57, 9, 37]-code) [i]
62Linear OA(761, 77, F7, 37) (dual of [77, 16, 38]-code) [i]
63Linear OA(753, 69, F7, 33) (dual of [69, 16, 34]-code) [i]
64Linear OA(746, 60, F7, 31) (dual of [60, 14, 32]-code) [i]
65Linear OA(743, 57, F7, 29) (dual of [57, 14, 30]-code) [i]
66Linear OA(744, 60, F7, 28) (dual of [60, 16, 29]-code) [i]
67Linear OA(757, 66, F7, 41) (dual of [66, 9, 42]-code) [i]
68Linear OA(752, 68, F7, 33) (dual of [68, 16, 34]-code) [i]
69Linear OA(741, 57, F7, 27) (dual of [57, 16, 28]-code) [i]
70Linear OA(747, 63, F7, 31) (dual of [63, 16, 32]-code) [i]
71Linear OA(7110, 5764831, F7, 16) (dual of [5764831, 5764721, 17]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
72Linear OA(799, 5764812, F7, 15) (dual of [5764812, 5764713, 16]-code) [i]
73Linear OA(7102, 5764831, F7, 15) (dual of [5764831, 5764729, 16]-code) [i]
74Linear OA(770, 5764831, F7, 10) (dual of [5764831, 5764761, 11]-code) [i]
75Linear OA(762, 5764831, F7, 9) (dual of [5764831, 5764769, 10]-code) [i]
76Linear OA(754, 5764831, F7, 8) (dual of [5764831, 5764777, 9]-code) [i]
77Linear OA(7108, 823560, F7, 18) (dual of [823560, 823452, 19]-code) [i]
78Linear OA(7104, 823570, F7, 17) (dual of [823570, 823466, 18]-code) [i]
79Linear OA(797, 823570, F7, 16) (dual of [823570, 823473, 17]-code) [i]
80Linear OA(787, 823553, F7, 15) (dual of [823553, 823466, 16]-code) [i]
81Linear OA(790, 823570, F7, 15) (dual of [823570, 823480, 16]-code) [i]
82Linear OA(762, 823570, F7, 10) (dual of [823570, 823508, 11]-code) [i]
83Linear OA(755, 823570, F7, 9) (dual of [823570, 823515, 10]-code) [i]
84Linear OA(748, 823570, F7, 8) (dual of [823570, 823522, 9]-code) [i]
85Linear OA(7105, 117664, F7, 20) (dual of [117664, 117559, 21]-code) [i]
86Linear OA(7108, 117679, F7, 20) (dual of [117679, 117571, 21]-code) [i]
87Linear OA(793, 117664, F7, 18) (dual of [117664, 117571, 19]-code) [i]
88Linear OA(790, 117673, F7, 17) (dual of [117673, 117583, 18]-code) [i]
89Linear OA(784, 117673, F7, 16) (dual of [117673, 117589, 17]-code) [i]
90Linear OA(775, 117658, F7, 15) (dual of [117658, 117583, 16]-code) [i]
91Linear OA(775, 117664, F7, 14) (dual of [117664, 117589, 15]-code) [i]
92Linear OA(778, 117673, F7, 15) (dual of [117673, 117595, 16]-code) [i]
93Linear OA(778, 117679, F7, 14) (dual of [117679, 117601, 15]-code) [i]
94Linear OA(772, 117679, F7, 13) (dual of [117679, 117607, 14]-code) [i]
95Linear OA(754, 117673, F7, 10) (dual of [117673, 117619, 11]-code) [i]
96Linear OA(748, 117673, F7, 9) (dual of [117673, 117625, 10]-code) [i]
97Linear OA(739, 117658, F7, 8) (dual of [117658, 117619, 9]-code) [i]
98Linear OA(742, 117673, F7, 8) (dual of [117673, 117631, 9]-code) [i]
99Linear OA(7108, 16820, F7, 25) (dual of [16820, 16712, 26]-code) [i]
100Linear OA(7106, 16828, F7, 24) (dual of [16828, 16722, 25]-code) [i]
101Linear OA(7101, 16828, F7, 23) (dual of [16828, 16727, 24]-code) [i]
102Linear OA(796, 16828, F7, 22) (dual of [16828, 16732, 23]-code) [i]
103Linear OA(788, 16820, F7, 20) (dual of [16820, 16732, 21]-code) [i]
104Linear OA(791, 16833, F7, 20) (dual of [16833, 16742, 21]-code) [i]
105Linear OA(778, 16820, F7, 18) (dual of [16820, 16742, 19]-code) [i]
106Linear OA(776, 16828, F7, 17) (dual of [16828, 16752, 18]-code) [i]
107Linear OA(771, 16828, F7, 16) (dual of [16828, 16757, 17]-code) [i]
108Linear OA(763, 16820, F7, 14) (dual of [16820, 16757, 15]-code) [i]
109Linear OA(766, 16828, F7, 15) (dual of [16828, 16762, 16]-code) [i]
110Linear OA(766, 16833, F7, 14) (dual of [16833, 16767, 15]-code) [i]
111Linear OA(758, 16820, F7, 13) (dual of [16820, 16762, 14]-code) [i]
112Linear OA(761, 16833, F7, 13) (dual of [16833, 16772, 14]-code) [i]
113Linear OA(753, 16820, F7, 12) (dual of [16820, 16767, 13]-code) [i]
114Linear OA(746, 16828, F7, 10) (dual of [16828, 16782, 11]-code) [i]
115Linear OA(741, 16828, F7, 9) (dual of [16828, 16787, 10]-code) [i]
116Linear OA(736, 16828, F7, 8) (dual of [16828, 16792, 9]-code) [i]
117Linear OA(7110, 2419, F7, 31) (dual of [2419, 2309, 32]-code) [i]
118Linear OA(7106, 2419, F7, 30) (dual of [2419, 2313, 31]-code) [i]
119Linear OA(7109, 2430, F7, 30) (dual of [2430, 2321, 31]-code) [i]
120Linear OA(799, 2412, F7, 28) (dual of [2412, 2313, 29]-code) [i]
121Linear OA(7102, 2419, F7, 29) (dual of [2419, 2317, 30]-code) [i]
122Linear OA(7102, 2423, F7, 28) (dual of [2423, 2321, 29]-code) [i]
123Linear OA(7105, 2430, F7, 29) (dual of [2430, 2325, 30]-code) [i]
124Linear OA(795, 2412, F7, 27) (dual of [2412, 2317, 28]-code) [i]
125Linear OA(798, 2423, F7, 27) (dual of [2423, 2325, 28]-code) [i]
126Linear OA(791, 2412, F7, 26) (dual of [2412, 2321, 27]-code) [i]
127Linear OA(797, 2430, F7, 26) (dual of [2430, 2333, 27]-code) [i]
128Linear OA(787, 2412, F7, 25) (dual of [2412, 2325, 26]-code) [i]
129Linear OA(793, 2430, F7, 25) (dual of [2430, 2337, 26]-code) [i]
130Linear OA(786, 2419, F7, 24) (dual of [2419, 2333, 25]-code) [i]
131Linear OA(789, 2430, F7, 24) (dual of [2430, 2341, 25]-code) [i]
132Linear OA(782, 2419, F7, 23) (dual of [2419, 2337, 24]-code) [i]
133Linear OA(785, 2430, F7, 23) (dual of [2430, 2345, 24]-code) [i]
134Linear OA(778, 2419, F7, 22) (dual of [2419, 2341, 23]-code) [i]
135Linear OA(781, 2430, F7, 22) (dual of [2430, 2349, 23]-code) [i]
136Linear OA(771, 2412, F7, 20) (dual of [2412, 2341, 21]-code) [i]
137Linear OA(774, 2423, F7, 20) (dual of [2423, 2349, 21]-code) [i]
138Linear OA(773, 2430, F7, 19) (dual of [2430, 2357, 20]-code) [i]
139Linear OA(763, 2412, F7, 18) (dual of [2412, 2349, 19]-code) [i]
140Linear OA(769, 2430, F7, 18) (dual of [2430, 2361, 19]-code) [i]
141Linear OA(762, 2419, F7, 17) (dual of [2419, 2357, 18]-code) [i]
142Linear OA(765, 2430, F7, 17) (dual of [2430, 2365, 18]-code) [i]
143Linear OA(758, 2419, F7, 16) (dual of [2419, 2361, 17]-code) [i]
144Linear OA(761, 2430, F7, 16) (dual of [2430, 2369, 17]-code) [i]
145Linear OA(751, 2412, F7, 14) (dual of [2412, 2361, 15]-code) [i]
146Linear OA(754, 2419, F7, 15) (dual of [2419, 2365, 16]-code) [i]
147Linear OA(757, 2430, F7, 15) (dual of [2430, 2373, 16]-code) [i]
148Linear OA(747, 2412, F7, 13) (dual of [2412, 2365, 14]-code) [i]
149Linear OA(743, 2412, F7, 12) (dual of [2412, 2369, 13]-code) [i]
150Linear OA(739, 2412, F7, 11) (dual of [2412, 2373, 12]-code) [i]
151Linear OA(7108, 352, F7, 41) (dual of [352, 244, 42]-code) [i]
152Linear OA(7105, 352, F7, 40) (dual of [352, 247, 41]-code) [i]
153Linear OA(7102, 352, F7, 39) (dual of [352, 250, 40]-code) [i]
154Linear OA(7108, 367, F7, 39) (dual of [367, 259, 40]-code) [i]
155Linear OA(7102, 358, F7, 38) (dual of [358, 256, 39]-code) [i]
156Linear OA(7105, 367, F7, 38) (dual of [367, 262, 39]-code) [i]
157Linear OA(799, 358, F7, 37) (dual of [358, 259, 38]-code) [i]
158Linear OA(7102, 367, F7, 37) (dual of [367, 265, 38]-code) [i]
159Linear OA(796, 358, F7, 36) (dual of [358, 262, 37]-code) [i]
160Linear OA(799, 367, F7, 36) (dual of [367, 268, 37]-code) [i]
161Linear OA(790, 352, F7, 34) (dual of [352, 262, 35]-code) [i]
162Linear OA(793, 361, F7, 34) (dual of [361, 268, 35]-code) [i]
163Linear OA(793, 367, F7, 33) (dual of [367, 274, 34]-code) [i]
164Linear OA(784, 352, F7, 32) (dual of [352, 268, 33]-code) [i]
165Linear OA(790, 367, F7, 32) (dual of [367, 277, 33]-code) [i]
166Linear OA(784, 358, F7, 31) (dual of [358, 274, 32]-code) [i]
167Linear OA(787, 367, F7, 31) (dual of [367, 280, 32]-code) [i]
168Linear OA(781, 358, F7, 30) (dual of [358, 277, 31]-code) [i]
169Linear OA(784, 367, F7, 30) (dual of [367, 283, 31]-code) [i]
170Linear OA(778, 358, F7, 29) (dual of [358, 280, 30]-code) [i]
171Linear OA(778, 361, F7, 28) (dual of [361, 283, 29]-code) [i]
172Linear OA(781, 367, F7, 29) (dual of [367, 286, 30]-code) [i]
173Linear OA(772, 352, F7, 27) (dual of [352, 280, 28]-code) [i]
174Linear OA(775, 361, F7, 27) (dual of [361, 286, 28]-code) [i]
175Linear OA(769, 352, F7, 26) (dual of [352, 283, 27]-code) [i]
176Linear OA(775, 367, F7, 26) (dual of [367, 292, 27]-code) [i]
177Linear OA(766, 352, F7, 25) (dual of [352, 286, 26]-code) [i]
178Linear OA(772, 367, F7, 25) (dual of [367, 295, 26]-code) [i]
179Linear OA(766, 358, F7, 24) (dual of [358, 292, 25]-code) [i]
180Linear OA(769, 367, F7, 24) (dual of [367, 298, 25]-code) [i]
181Linear OA(763, 358, F7, 23) (dual of [358, 295, 24]-code) [i]
182Linear OA(766, 367, F7, 23) (dual of [367, 301, 24]-code) [i]
183Linear OA(760, 358, F7, 22) (dual of [358, 298, 23]-code) [i]
184Linear OA(763, 367, F7, 22) (dual of [367, 304, 23]-code) [i]
185Linear OA(754, 352, F7, 20) (dual of [352, 298, 21]-code) [i]
186Linear OA(757, 361, F7, 20) (dual of [361, 304, 21]-code) [i]
187Linear OA(757, 367, F7, 19) (dual of [367, 310, 20]-code) [i]
188Linear OA(748, 352, F7, 18) (dual of [352, 304, 19]-code) [i]
189Linear OA(754, 367, F7, 18) (dual of [367, 313, 19]-code) [i]
190Linear OA(748, 358, F7, 17) (dual of [358, 310, 18]-code) [i]
191Linear OA(751, 367, F7, 17) (dual of [367, 316, 18]-code) [i]
192Linear OA(745, 358, F7, 16) (dual of [358, 313, 17]-code) [i]
193Linear OA(748, 367, F7, 16) (dual of [367, 319, 17]-code) [i]
194Linear OA(742, 358, F7, 15) (dual of [358, 316, 16]-code) [i]
195Linear OA(742, 361, F7, 14) (dual of [361, 319, 15]-code) [i]
196Linear OA(745, 367, F7, 15) (dual of [367, 322, 16]-code) [i]
197Linear OA(736, 352, F7, 13) (dual of [352, 316, 14]-code) [i]
198Linear OA(739, 361, F7, 13) (dual of [361, 322, 14]-code) [i]
199Linear OA(733, 352, F7, 12) (dual of [352, 319, 13]-code) [i]
200Linear OA(730, 352, F7, 11) (dual of [352, 322, 12]-code) [i]
201Linear OA(727, 358, F7, 9) (dual of [358, 331, 10]-code) [i]
202Linear OA(7105, 181, F7, 46) (dual of [181, 76, 47]-code) [i]
203Linear OA(7105, 187, F7, 45) (dual of [187, 82, 46]-code) [i]
204Linear OA(7105, 193, F7, 44) (dual of [193, 88, 45]-code) [i]
205Linear OA(799, 187, F7, 42) (dual of [187, 88, 43]-code) [i]
206Linear OA(7102, 193, F7, 43) (dual of [193, 91, 44]-code) [i]
207Linear OA(796, 187, F7, 41) (dual of [187, 91, 42]-code) [i]
208Linear OA(790, 181, F7, 39) (dual of [181, 91, 40]-code) [i]
209Linear OA(796, 193, F7, 40) (dual of [193, 97, 41]-code) [i]
210Linear OA(790, 187, F7, 38) (dual of [187, 97, 39]-code) [i]
211Linear OA(790, 193, F7, 37) (dual of [193, 103, 38]-code) [i]
212Linear OA(784, 187, F7, 35) (dual of [187, 103, 36]-code) [i]
213Linear OA(787, 193, F7, 36) (dual of [193, 106, 37]-code) [i]
214Linear OA(781, 187, F7, 34) (dual of [187, 106, 35]-code) [i]
215Linear OA(775, 181, F7, 32) (dual of [181, 106, 33]-code) [i]
216Linear OA(769, 181, F7, 29) (dual of [181, 112, 30]-code) [i]
217Linear OA(769, 184, F7, 27) (dual of [184, 115, 28]-code) [i]
218Linear OA(758, 124, F7, 25) (dual of [124, 66, 26]-code) [i]
219Linear OA(758, 130, F7, 24) (dual of [130, 72, 25]-code) [i]
220Linear OA(748, 124, F7, 20) (dual of [124, 76, 21]-code) [i]
221Linear OA(763, 79, F7, 38) (dual of [79, 16, 39]-code) [i]
222Linear OA(752, 61, F7, 39) (dual of [61, 9, 40]-code) [i]
223Linear OA(749, 58, F7, 37) (dual of [58, 9, 38]-code) [i]
224Linear OA(762, 76, F7, 39) (dual of [76, 14, 40]-code) [i]
225Linear OA(756, 70, F7, 35) (dual of [70, 14, 36]-code) [i]
226Linear OA(762, 78, F7, 38) (dual of [78, 16, 39]-code) [i]
227Linear OA(754, 70, F7, 34) (dual of [70, 16, 35]-code) [i]
228Linear OA(748, 60, F7, 33) (dual of [60, 12, 34]-code) [i]
229Linear OA(747, 61, F7, 32) (dual of [61, 14, 33]-code) [i]
230Linear OA(744, 58, F7, 30) (dual of [58, 14, 31]-code) [i]
231Linear OA(745, 61, F7, 29) (dual of [61, 16, 30]-code) [i]
232Linear OA(751, 70, F7, 29) (dual of [70, 19, 30]-code) [i]
233Linear OA(739, 58, F7, 25) (dual of [58, 19, 26]-code) [i]
234Linear OA(737, 58, F7, 23) (dual of [58, 21, 24]-code) [i]
235Linear OA(738, 61, F7, 22) (dual of [61, 23, 23]-code) [i]
236Linear OA(733, 61, F7, 18) (dual of [61, 28, 19]-code) [i]
237Linear OA(731, 61, F7, 17) (dual of [61, 30, 18]-code) [i]
238Linear OA(728, 58, F7, 16) (dual of [58, 30, 17]-code) [i]
239Linear OA(729, 61, F7, 15) (dual of [61, 32, 16]-code) [i]
240Linear OA(753, 62, F7, 40) (dual of [62, 9, 41]-code) [i]
241Linear OA(749, 63, F7, 33) (dual of [63, 14, 34]-code) [i]
242Linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code) [i]
243Linear OA(740, 65, F7, 23) (dual of [65, 25, 24]-code) [i]
244Linear OA(732, 64, F7, 17) (dual of [64, 32, 18]-code) [i]
245Linear OA(731, 65, F7, 16) (dual of [65, 34, 17]-code) [i]