Information on Result #604386

Linear OA(30, 1, F3, 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(393, 106, F3, 53) (dual of [106, 13, 54]-code) [i]Construction XX with Cyclic Codes
2Linear OA(388, 99, F3, 53) (dual of [99, 11, 54]-code) [i]
3Linear OA(387, 96, F3, 53) (dual of [96, 9, 54]-code) [i]
4Linear OA(378, 85, F3, 53) (dual of [85, 7, 54]-code) [i]
5Linear OA(386, 101, F3, 50) (dual of [101, 15, 51]-code) [i]
6Linear OA(382, 97, F3, 47) (dual of [97, 15, 48]-code) [i]
7Linear OA(380, 95, F3, 46) (dual of [95, 15, 47]-code) [i]
8Linear OA(381, 95, F3, 47) (dual of [95, 14, 48]-code) [i]
9Linear OA(380, 93, F3, 47) (dual of [93, 13, 48]-code) [i]
10Linear OA(380, 91, F3, 50) (dual of [91, 11, 51]-code) [i]
11Linear OA(375, 86, F3, 46) (dual of [86, 11, 47]-code) [i]
12Linear OA(376, 85, F3, 47) (dual of [85, 9, 48]-code) [i]
13Linear OA(379, 87, F3, 50) (dual of [87, 8, 51]-code) [i]
14Linear OA(374, 90, F3, 44) (dual of [90, 16, 45]-code) [i]
15Linear OA(373, 88, F3, 44) (dual of [88, 15, 45]-code) [i]
16Linear OA(371, 86, F3, 43) (dual of [86, 15, 44]-code) [i]
17Linear OA(372, 85, F3, 44) (dual of [85, 13, 45]-code) [i]
18Linear OA(348, 58, F3, 29) (dual of [58, 10, 30]-code) [i]
19Linear OA(348, 58, F3, 29) (dual of [58, 10, 30]-code) [i]
20Linear OA(327, 35, F3, 17) (dual of [35, 8, 18]-code) [i]
21Linear OA(326, 33, F3, 17) (dual of [33, 7, 18]-code) [i]
22Linear OA(324, 31, F3, 16) (dual of [31, 7, 17]-code) [i]
23Linear OA(325, 31, F3, 17) (dual of [31, 6, 18]-code) [i]
24Linear OA(316, 31, F3, 8) (dual of [31, 15, 9]-code) [i]
25Linear OA(314, 28, F3, 8) (dual of [28, 14, 9]-code) [i]
26Linear OA(314, 28, F3, 8) (dual of [28, 14, 9]-code) [i]
27Linear OA(3105, 274, F3, 30) (dual of [274, 169, 31]-code) [i]
28Linear OA(389, 104, F3, 50) (dual of [104, 15, 51]-code) [i]Construction XX with a Chain of Cyclic Codes
29Linear OA(387, 102, F3, 50) (dual of [102, 15, 51]-code) [i]
30Linear OA(383, 98, F3, 47) (dual of [98, 15, 48]-code) [i]
31Linear OA(380, 95, F3, 45) (dual of [95, 15, 46]-code) [i]
32Linear OA(372, 87, F3, 43) (dual of [87, 15, 44]-code) [i]
33Linear OA(388, 104, F3, 49) (dual of [104, 16, 50]-code) [i]
34Linear OA(386, 102, F3, 49) (dual of [102, 16, 50]-code) [i]
35Linear OA(382, 98, F3, 46) (dual of [98, 16, 47]-code) [i]
36Linear OA(379, 95, F3, 44) (dual of [95, 16, 45]-code) [i]
37Linear OA(371, 87, F3, 42) (dual of [87, 16, 43]-code) [i]
38Linear OA(389, 100, F3, 53) (dual of [100, 11, 54]-code) [i]
39Linear OA(381, 92, F3, 50) (dual of [92, 11, 51]-code) [i]
40Linear OA(325, 32, F3, 16) (dual of [32, 7, 17]-code) [i]
41Linear OA(338, 46, F3, 22) (dual of [46, 8, 23]-code) [i]
42Linear OA(324, 32, F3, 15) (dual of [32, 8, 16]-code) [i]
43Linear OA(385, 92, F3, 56) (dual of [92, 7, 57]-code) [i]
44Linear OA(3243, 6572, F3, 46) (dual of [6572, 6329, 47]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
45Linear OA(3250, 6595, F3, 46) (dual of [6595, 6345, 47]-code) [i]
46Linear OA(3248, 6593, F3, 45) (dual of [6593, 6345, 46]-code) [i]
47Linear OA(3238, 6583, F3, 44) (dual of [6583, 6345, 45]-code) [i]
48Linear OA(3227, 6572, F3, 43) (dual of [6572, 6345, 44]-code) [i]
49Linear OA(3234, 6595, F3, 43) (dual of [6595, 6361, 44]-code) [i]
50Linear OA(3232, 6593, F3, 42) (dual of [6593, 6361, 43]-code) [i]
51Linear OA(3222, 6583, F3, 41) (dual of [6583, 6361, 42]-code) [i]
52Linear OA(3211, 6572, F3, 40) (dual of [6572, 6361, 41]-code) [i]
53Linear OA(3218, 6595, F3, 40) (dual of [6595, 6377, 41]-code) [i]
54Linear OA(3216, 6593, F3, 39) (dual of [6593, 6377, 40]-code) [i]
55Linear OA(3206, 6583, F3, 38) (dual of [6583, 6377, 39]-code) [i]
56Linear OA(3195, 6572, F3, 37) (dual of [6572, 6377, 38]-code) [i]
57Linear OA(3202, 6595, F3, 37) (dual of [6595, 6393, 38]-code) [i]
58Linear OA(3200, 6593, F3, 36) (dual of [6593, 6393, 37]-code) [i]
59Linear OA(3190, 6583, F3, 35) (dual of [6583, 6393, 36]-code) [i]
60Linear OA(3179, 6572, F3, 34) (dual of [6572, 6393, 35]-code) [i]
61Linear OA(3186, 6595, F3, 34) (dual of [6595, 6409, 35]-code) [i]
62Linear OA(3184, 6593, F3, 33) (dual of [6593, 6409, 34]-code) [i]
63Linear OA(3174, 6583, F3, 32) (dual of [6583, 6409, 33]-code) [i]
64Linear OA(3163, 6572, F3, 31) (dual of [6572, 6409, 32]-code) [i]
65Linear OA(3170, 6595, F3, 31) (dual of [6595, 6425, 32]-code) [i]
66Linear OA(3168, 6593, F3, 30) (dual of [6593, 6425, 31]-code) [i]
67Linear OA(3158, 6583, F3, 29) (dual of [6583, 6425, 30]-code) [i]
68Linear OA(3147, 6572, F3, 28) (dual of [6572, 6425, 29]-code) [i]
69Linear OA(3154, 6595, F3, 28) (dual of [6595, 6441, 29]-code) [i]
70Linear OA(3152, 6593, F3, 27) (dual of [6593, 6441, 28]-code) [i]
71Linear OA(3142, 6583, F3, 26) (dual of [6583, 6441, 27]-code) [i]
72Linear OA(3131, 6572, F3, 25) (dual of [6572, 6441, 26]-code) [i]
73Linear OA(3138, 6595, F3, 25) (dual of [6595, 6457, 26]-code) [i]
74Linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code) [i]
75Linear OA(3126, 6583, F3, 23) (dual of [6583, 6457, 24]-code) [i]
76Linear OA(3115, 6572, F3, 22) (dual of [6572, 6457, 23]-code) [i]
77Linear OA(3122, 6595, F3, 22) (dual of [6595, 6473, 23]-code) [i]
78Linear OA(3120, 6593, F3, 21) (dual of [6593, 6473, 22]-code) [i]
79Linear OA(3110, 6583, F3, 20) (dual of [6583, 6473, 21]-code) [i]
80Linear OA(399, 6572, F3, 19) (dual of [6572, 6473, 20]-code) [i]
81Linear OA(3106, 6595, F3, 19) (dual of [6595, 6489, 20]-code) [i]
82Linear OA(3104, 6593, F3, 18) (dual of [6593, 6489, 19]-code) [i]
83Linear OA(394, 6583, F3, 17) (dual of [6583, 6489, 18]-code) [i]
84Linear OA(383, 6572, F3, 16) (dual of [6572, 6489, 17]-code) [i]
85Linear OA(388, 6593, F3, 15) (dual of [6593, 6505, 16]-code) [i]
86Linear OA(378, 6583, F3, 14) (dual of [6583, 6505, 15]-code) [i]
87Linear OA(367, 6572, F3, 13) (dual of [6572, 6505, 14]-code) [i]
88Linear OA(362, 6583, F3, 11) (dual of [6583, 6521, 12]-code) [i]
89Linear OA(351, 6572, F3, 10) (dual of [6572, 6521, 11]-code) [i]
90Linear OA(3239, 3292, F3, 46) (dual of [3292, 3053, 47]-code) [i]
91Linear OA(3223, 3288, F3, 43) (dual of [3288, 3065, 44]-code) [i]
92Linear OA(3241, 2197, F3, 52) (dual of [2197, 1956, 53]-code) [i]
93Linear OA(3248, 2218, F3, 52) (dual of [2218, 1970, 53]-code) [i]
94Linear OA(3246, 2216, F3, 51) (dual of [2216, 1970, 52]-code) [i]
95Linear OA(3227, 2197, F3, 49) (dual of [2197, 1970, 50]-code) [i]
96Linear OA(3234, 2218, F3, 49) (dual of [2218, 1984, 50]-code) [i]
97Linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code) [i]
98Linear OA(3213, 2197, F3, 46) (dual of [2197, 1984, 47]-code) [i]
99Linear OA(3220, 2218, F3, 46) (dual of [2218, 1998, 47]-code) [i]
100Linear OA(3218, 2216, F3, 45) (dual of [2216, 1998, 46]-code) [i]
101Linear OA(3199, 2197, F3, 43) (dual of [2197, 1998, 44]-code) [i]
102Linear OA(3206, 2218, F3, 43) (dual of [2218, 2012, 44]-code) [i]
103Linear OA(3204, 2216, F3, 42) (dual of [2216, 2012, 43]-code) [i]
104Linear OA(3185, 2197, F3, 40) (dual of [2197, 2012, 41]-code) [i]
105Linear OA(3192, 2218, F3, 40) (dual of [2218, 2026, 41]-code) [i]
106Linear OA(3190, 2216, F3, 39) (dual of [2216, 2026, 40]-code) [i]
107Linear OA(3171, 2197, F3, 37) (dual of [2197, 2026, 38]-code) [i]
108Linear OA(3178, 2218, F3, 37) (dual of [2218, 2040, 38]-code) [i]
109Linear OA(3176, 2216, F3, 36) (dual of [2216, 2040, 37]-code) [i]
110Linear OA(3157, 2197, F3, 34) (dual of [2197, 2040, 35]-code) [i]
111Linear OA(3164, 2218, F3, 34) (dual of [2218, 2054, 35]-code) [i]
112Linear OA(3162, 2216, F3, 33) (dual of [2216, 2054, 34]-code) [i]
113Linear OA(3143, 2197, F3, 31) (dual of [2197, 2054, 32]-code) [i]
114Linear OA(3150, 2218, F3, 31) (dual of [2218, 2068, 32]-code) [i]
115Linear OA(3148, 2216, F3, 30) (dual of [2216, 2068, 31]-code) [i]
116Linear OA(3129, 2197, F3, 28) (dual of [2197, 2068, 29]-code) [i]
117Linear OA(3136, 2218, F3, 28) (dual of [2218, 2082, 29]-code) [i]
118Linear OA(3134, 2216, F3, 27) (dual of [2216, 2082, 28]-code) [i]
119Linear OA(3115, 2197, F3, 25) (dual of [2197, 2082, 26]-code) [i]
120Linear OA(3122, 2218, F3, 25) (dual of [2218, 2096, 26]-code) [i]
121Linear OA(3120, 2216, F3, 24) (dual of [2216, 2096, 25]-code) [i]
122Linear OA(3101, 2197, F3, 22) (dual of [2197, 2096, 23]-code) [i]
123Linear OA(3108, 2218, F3, 22) (dual of [2218, 2110, 23]-code) [i]
124Linear OA(3106, 2216, F3, 21) (dual of [2216, 2110, 22]-code) [i]
125Linear OA(387, 2197, F3, 19) (dual of [2197, 2110, 20]-code) [i]
126Linear OA(394, 2218, F3, 19) (dual of [2218, 2124, 20]-code) [i]
127Linear OA(392, 2216, F3, 18) (dual of [2216, 2124, 19]-code) [i]
128Linear OA(373, 2197, F3, 16) (dual of [2197, 2124, 17]-code) [i]
129Linear OA(378, 2216, F3, 15) (dual of [2216, 2138, 16]-code) [i]
130Linear OA(359, 2197, F3, 13) (dual of [2197, 2138, 14]-code) [i]
131Linear OA(345, 2197, F3, 10) (dual of [2197, 2152, 11]-code) [i]
132Linear OA(3248, 1104, F3, 55) (dual of [1104, 856, 56]-code) [i]
133Linear OA(3234, 1104, F3, 52) (dual of [1104, 870, 53]-code) [i]
134Linear OA(3220, 1104, F3, 49) (dual of [1104, 884, 50]-code) [i]
135Linear OA(3206, 1104, F3, 46) (dual of [1104, 898, 47]-code) [i]
136Linear OA(3243, 738, F3, 64) (dual of [738, 495, 65]-code) [i]
137Linear OA(3231, 738, F3, 61) (dual of [738, 507, 62]-code) [i]
138Linear OA(3245, 767, F3, 61) (dual of [767, 522, 62]-code) [i]
139Linear OA(3232, 754, F3, 59) (dual of [754, 522, 60]-code) [i]
140Linear OA(3223, 745, F3, 57) (dual of [745, 522, 58]-code) [i]
141Linear OA(3233, 767, F3, 58) (dual of [767, 534, 59]-code) [i]
142Linear OA(3218, 740, F3, 56) (dual of [740, 522, 57]-code) [i]
143Linear OA(3216, 738, F3, 55) (dual of [738, 522, 56]-code) [i]
144Linear OA(3223, 757, F3, 56) (dual of [757, 534, 57]-code) [i]
145Linear OA(3204, 738, F3, 52) (dual of [738, 534, 53]-code) [i]
146Linear OA(3192, 738, F3, 49) (dual of [738, 546, 50]-code) [i]
147Linear OA(3180, 738, F3, 46) (dual of [738, 558, 47]-code) [i]
148Linear OA(3168, 738, F3, 43) (dual of [738, 570, 44]-code) [i]
149Linear OA(3156, 738, F3, 40) (dual of [738, 582, 41]-code) [i]
150Linear OA(3144, 738, F3, 37) (dual of [738, 594, 38]-code) [i]
151Linear OA(3132, 738, F3, 34) (dual of [738, 606, 35]-code) [i]
152Linear OA(3135, 762, F3, 32) (dual of [762, 627, 33]-code) [i]
153Linear OA(3120, 738, F3, 31) (dual of [738, 618, 32]-code) [i]
154Linear OA(3116, 743, F3, 29) (dual of [743, 627, 30]-code) [i]
155Linear OA(3123, 762, F3, 29) (dual of [762, 639, 30]-code) [i]
156Linear OA(3111, 738, F3, 28) (dual of [738, 627, 29]-code) [i]
157Linear OA(399, 738, F3, 25) (dual of [738, 639, 26]-code) [i]
158Linear OA(387, 738, F3, 22) (dual of [738, 651, 23]-code) [i]
159Linear OA(375, 738, F3, 19) (dual of [738, 663, 20]-code) [i]
160Linear OA(363, 738, F3, 16) (dual of [738, 675, 17]-code) [i]
161Linear OA(351, 738, F3, 13) (dual of [738, 687, 14]-code) [i]
162Linear OA(339, 738, F3, 10) (dual of [738, 699, 11]-code) [i]
163Linear OA(3153, 374, F3, 40) (dual of [374, 221, 41]-code) [i]
164Linear OA(3129, 374, F3, 34) (dual of [374, 245, 35]-code) [i]
165Linear OA(3108, 374, F3, 28) (dual of [374, 266, 29]-code) [i]
166Linear OA(396, 374, F3, 25) (dual of [374, 278, 26]-code) [i]
167Linear OA(384, 374, F3, 22) (dual of [374, 290, 23]-code) [i]
168Linear OA(372, 374, F3, 19) (dual of [374, 302, 20]-code) [i]
169Linear OA(360, 371, F3, 16) (dual of [371, 311, 17]-code) [i]
170Linear OA(3247, 279, F3, 133) (dual of [279, 32, 134]-code) [i]
171Linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code) [i]
172Linear OA(3231, 263, F3, 128) (dual of [263, 32, 129]-code) [i]
173Linear OA(3228, 260, F3, 126) (dual of [260, 32, 127]-code) [i]
174Linear OA(3219, 251, F3, 124) (dual of [251, 32, 125]-code) [i]
175Linear OA(3147, 260, F3, 48) (dual of [260, 113, 49]-code) [i]
176Linear OA(3138, 251, F3, 46) (dual of [251, 113, 47]-code) [i]
177Linear OA(3145, 268, F3, 47) (dual of [268, 123, 48]-code) [i]
178Linear OA(3128, 251, F3, 43) (dual of [251, 123, 44]-code) [i]
179Linear OA(3130, 268, F3, 41) (dual of [268, 138, 42]-code) [i]
180Linear OA(3122, 260, F3, 39) (dual of [260, 138, 40]-code) [i]
181Linear OA(3132, 280, F3, 40) (dual of [280, 148, 41]-code) [i]
182Linear OA(3113, 251, F3, 37) (dual of [251, 138, 38]-code) [i]
183Linear OA(3120, 268, F3, 38) (dual of [268, 148, 39]-code) [i]
184Linear OA(3103, 251, F3, 34) (dual of [251, 148, 35]-code) [i]
185Linear OA(3105, 263, F3, 32) (dual of [263, 158, 33]-code) [i]
186Linear OA(393, 251, F3, 28) (dual of [251, 158, 29]-code) [i]
187Linear OA(3107, 275, F3, 31) (dual of [275, 168, 32]-code) [i]
188Linear OA(3100, 268, F3, 29) (dual of [268, 168, 30]-code) [i]
189Linear OA(397, 275, F3, 26) (dual of [275, 178, 27]-code) [i]
190Linear OA(383, 251, F3, 25) (dual of [251, 168, 26]-code) [i]
191Linear OA(387, 275, F3, 23) (dual of [275, 188, 24]-code) [i]
192Linear OA(373, 251, F3, 22) (dual of [251, 178, 23]-code) [i]
193Linear OA(363, 251, F3, 19) (dual of [251, 188, 20]-code) [i]
194Linear OA(353, 251, F3, 16) (dual of [251, 198, 17]-code) [i]
195Linear OA(343, 251, F3, 13) (dual of [251, 208, 14]-code) [i]
196Linear OA(333, 251, F3, 10) (dual of [251, 218, 11]-code) [i]
197Linear OA(323, 251, F3, 7) (dual of [251, 228, 8]-code) [i]
198Linear OA(3178, 198, F3, 98) (dual of [198, 20, 99]-code) [i]
199Linear OA(3174, 194, F3, 95) (dual of [194, 20, 96]-code) [i]
200Linear OA(3172, 192, F3, 94) (dual of [192, 20, 95]-code) [i]
201Linear OA(358, 130, F3, 19) (dual of [130, 72, 20]-code) [i]
202Linear OA(387, 103, F3, 50) (dual of [103, 16, 51]-code) [i]
203Linear OA(383, 99, F3, 47) (dual of [99, 16, 48]-code) [i]
204Linear OA(380, 96, F3, 45) (dual of [96, 16, 46]-code) [i]
205Linear OA(372, 88, F3, 43) (dual of [88, 16, 44]-code) [i]
206Linear OA(381, 102, F3, 38) (dual of [102, 21, 39]-code) [i]
207Linear OA(341, 88, F3, 16) (dual of [88, 47, 17]-code) [i]
208Linear OA(339, 94, F3, 14) (dual of [94, 55, 15]-code) [i]
209Linear OA(333, 88, F3, 13) (dual of [88, 55, 14]-code) [i]
210Linear OA(337, 98, F3, 12) (dual of [98, 61, 13]-code) [i]
211Linear OA(331, 92, F3, 11) (dual of [92, 61, 12]-code) [i]
212Linear OA(327, 88, F3, 10) (dual of [88, 61, 11]-code) [i]
213Linear OA(319, 88, F3, 7) (dual of [88, 69, 8]-code) [i]
214Linear OA(325, 33, F3, 16) (dual of [33, 8, 17]-code) [i]
215Linear OA(3131, 279, F3, 40) (dual of [279, 148, 41]-code) [i]
216Linear OA(3105, 273, F3, 31) (dual of [273, 168, 32]-code) [i]
217Linear OA(3103, 271, F3, 30) (dual of [271, 168, 31]-code) [i]