Information on Result #609869

Linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using Golay code G(3)

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(359, 19693, F3, 9) (dual of [19693, 19634, 10]-code) [i](u, u+v)-Construction
2Linear OA(365, 59059, F3, 9) (dual of [59059, 58994, 10]-code) [i]
3Linear OA(371, 177157, F3, 9) (dual of [177157, 177086, 10]-code) [i]
4Linear OA(377, 531451, F3, 9) (dual of [531451, 531374, 10]-code) [i]
5Linear OA(383, 1594333, F3, 9) (dual of [1594333, 1594250, 10]-code) [i]
6Linear OA(389, 4782979, F3, 9) (dual of [4782979, 4782890, 10]-code) [i]
7Linear OA(361, 67, F3, 40) (dual of [67, 6, 41]-code) [i]Juxtaposition
8Linear OA(3248, 254, F3, 166) (dual of [254, 6, 167]-code) [i]
9Linear OA(360, 65, F3, 40) (dual of [65, 5, 41]-code) [i]
10Linear OA(386, 91, F3, 58) (dual of [91, 5, 59]-code) [i]
11Linear OA(3126, 131, F3, 85) (dual of [131, 5, 86]-code) [i]
12Linear OA(3182, 196, F3, 94) (dual of [196, 14, 95]-code) [i]Concatenation of Two Codes
13Linear OA(3184, 196, F3, 99) (dual of [196, 12, 100]-code) [i]
14Linear OA(3115, 136, F3, 54) (dual of [136, 21, 55]-code) [i]
15Linear OA(3123, 144, F3, 59) (dual of [144, 21, 60]-code) [i]
16Linear OA(3141, 168, F3, 64) (dual of [168, 27, 65]-code) [i]
17Linear OA(3136, 160, F3, 64) (dual of [160, 24, 65]-code) [i]
18Linear OA(3131, 152, F3, 64) (dual of [152, 21, 65]-code) [i]
19Linear OA(3126, 144, F3, 64) (dual of [144, 18, 65]-code) [i]
20Linear OA(3121, 136, F3, 64) (dual of [136, 15, 65]-code) [i]
21Linear OA(3149, 176, F3, 69) (dual of [176, 27, 70]-code) [i]
22Linear OA(3144, 168, F3, 69) (dual of [168, 24, 70]-code) [i]
23Linear OA(3139, 160, F3, 69) (dual of [160, 21, 70]-code) [i]
24Linear OA(3129, 144, F3, 69) (dual of [144, 15, 70]-code) [i]
25Linear OA(3124, 136, F3, 69) (dual of [136, 12, 70]-code) [i]
26Linear OA(3167, 200, F3, 74) (dual of [200, 33, 75]-code) [i]
27Linear OA(3162, 192, F3, 74) (dual of [192, 30, 75]-code) [i]
28Linear OA(3157, 184, F3, 74) (dual of [184, 27, 75]-code) [i]
29Linear OA(3152, 176, F3, 74) (dual of [176, 24, 75]-code) [i]
30Linear OA(3147, 168, F3, 74) (dual of [168, 21, 75]-code) [i]
31Linear OA(3137, 152, F3, 74) (dual of [152, 15, 75]-code) [i]
32Linear OA(3132, 144, F3, 74) (dual of [144, 12, 75]-code) [i]
33Linear OA(3180, 216, F3, 79) (dual of [216, 36, 80]-code) [i]
34Linear OA(3175, 208, F3, 79) (dual of [208, 33, 80]-code) [i]
35Linear OA(3165, 192, F3, 79) (dual of [192, 27, 80]-code) [i]
36Linear OA(3160, 184, F3, 79) (dual of [184, 24, 80]-code) [i]
37Linear OA(3155, 176, F3, 79) (dual of [176, 21, 80]-code) [i]
38Linear OA(3188, 224, F3, 84) (dual of [224, 36, 85]-code) [i]
39Linear OA(3183, 216, F3, 84) (dual of [216, 33, 85]-code) [i]
40Linear OA(3173, 200, F3, 84) (dual of [200, 27, 85]-code) [i]
41Linear OA(3168, 192, F3, 84) (dual of [192, 24, 85]-code) [i]
42Linear OA(3163, 184, F3, 84) (dual of [184, 21, 85]-code) [i]
43Linear OA(3153, 168, F3, 84) (dual of [168, 15, 85]-code) [i]
44Linear OA(3148, 160, F3, 84) (dual of [160, 12, 85]-code) [i]
45Linear OA(3143, 152, F3, 84) (dual of [152, 9, 85]-code) [i]
46Linear OA(3191, 224, F3, 89) (dual of [224, 33, 90]-code) [i]
47Linear OA(3176, 200, F3, 89) (dual of [200, 24, 90]-code) [i]
48Linear OA(3171, 192, F3, 89) (dual of [192, 21, 90]-code) [i]
49Linear OA(3156, 168, F3, 89) (dual of [168, 12, 90]-code) [i]
50Linear OA(3179, 200, F3, 94) (dual of [200, 21, 95]-code) [i]
51Linear OA(3174, 192, F3, 94) (dual of [192, 18, 95]-code) [i]
52Linear OA(3169, 184, F3, 94) (dual of [184, 15, 95]-code) [i]
53Linear OA(3164, 176, F3, 94) (dual of [176, 12, 95]-code) [i]
54Linear OA(3187, 208, F3, 99) (dual of [208, 21, 100]-code) [i]
55Linear OA(3182, 200, F3, 99) (dual of [200, 18, 100]-code) [i]
56Linear OA(3177, 192, F3, 99) (dual of [192, 15, 100]-code) [i]
57Linear OA(3172, 184, F3, 99) (dual of [184, 12, 100]-code) [i]
58Linear OA(3167, 176, F3, 99) (dual of [176, 9, 100]-code) [i]
59Linear OA(3207, 240, F3, 94) (dual of [240, 33, 95]-code) [i]
60Linear OA(3190, 208, F3, 104) (dual of [208, 18, 105]-code) [i]
61Linear OA(3185, 200, F3, 104) (dual of [200, 15, 105]-code) [i]
62Linear OA(3180, 192, F3, 104) (dual of [192, 12, 105]-code) [i]
63Linear OA(3175, 184, F3, 104) (dual of [184, 9, 105]-code) [i]
64Linear OA(3225, 264, F3, 99) (dual of [264, 39, 100]-code) [i]
65Linear OA(3215, 248, F3, 99) (dual of [248, 33, 100]-code) [i]
66Linear OA(3198, 216, F3, 109) (dual of [216, 18, 110]-code) [i]
67Linear OA(3193, 208, F3, 109) (dual of [208, 15, 110]-code) [i]
68Linear OA(3188, 200, F3, 109) (dual of [200, 12, 110]-code) [i]
69Linear OA(3183, 192, F3, 109) (dual of [192, 9, 110]-code) [i]
70Linear OA(3243, 288, F3, 104) (dual of [288, 45, 105]-code) [i]
71Linear OA(3238, 280, F3, 104) (dual of [280, 42, 105]-code) [i]
72Linear OA(3233, 272, F3, 104) (dual of [272, 39, 105]-code) [i]
73Linear OA(3228, 264, F3, 104) (dual of [264, 36, 105]-code) [i]
74Linear OA(3201, 216, F3, 114) (dual of [216, 15, 115]-code) [i]
75Linear OA(3196, 208, F3, 114) (dual of [208, 12, 115]-code) [i]
76Linear OA(3191, 200, F3, 114) (dual of [200, 9, 115]-code) [i]
77Linear OA(3246, 288, F3, 109) (dual of [288, 42, 110]-code) [i]
78Linear OA(3241, 280, F3, 109) (dual of [280, 39, 110]-code) [i]
79Linear OA(3236, 272, F3, 109) (dual of [272, 36, 110]-code) [i]
80Linear OA(3231, 264, F3, 109) (dual of [264, 33, 110]-code) [i]
81Linear OA(3204, 216, F3, 119) (dual of [216, 12, 120]-code) [i]
82Linear OA(3249, 288, F3, 114) (dual of [288, 39, 115]-code) [i]
83Linear OA(3244, 280, F3, 114) (dual of [280, 36, 115]-code) [i]
84Linear OA(3239, 272, F3, 114) (dual of [272, 33, 115]-code) [i]
85Linear OA(3212, 224, F3, 124) (dual of [224, 12, 125]-code) [i]
86Linear OA(3247, 280, F3, 119) (dual of [280, 33, 120]-code) [i]
87Linear OA(3250, 280, F3, 124) (dual of [280, 30, 125]-code) [i]
88Linear OA(3245, 272, F3, 124) (dual of [272, 27, 125]-code) [i]
89Linear OA(3248, 272, F3, 129) (dual of [272, 24, 130]-code) [i]
90Linear OA(3143, 171, F3, 64) (dual of [171, 28, 65]-code) [i]
91Linear OA(3152, 180, F3, 69) (dual of [180, 28, 70]-code) [i]
92Linear OA(3176, 216, F3, 74) (dual of [216, 40, 75]-code) [i]
93Linear OA(3161, 189, F3, 74) (dual of [189, 28, 75]-code) [i]
94Linear OA(3194, 234, F3, 84) (dual of [234, 40, 85]-code) [i]
95Linear OA(3203, 243, F3, 89) (dual of [243, 40, 90]-code) [i]
96Linear OA(3227, 279, F3, 94) (dual of [279, 52, 95]-code) [i]
97Linear OA(3222, 270, F3, 94) (dual of [270, 48, 95]-code) [i]
98Linear OA(3217, 261, F3, 94) (dual of [261, 44, 95]-code) [i]
99Linear OA(3212, 252, F3, 94) (dual of [252, 40, 95]-code) [i]
100Linear OA(3236, 288, F3, 99) (dual of [288, 52, 100]-code) [i]
101Linear OA(3231, 279, F3, 99) (dual of [279, 48, 100]-code) [i]
102Linear OA(3226, 270, F3, 99) (dual of [270, 44, 100]-code) [i]
103Linear OA(3221, 261, F3, 99) (dual of [261, 40, 100]-code) [i]
104Linear OA(3250, 306, F3, 104) (dual of [306, 56, 105]-code) [i]
105Linear OA(3245, 297, F3, 104) (dual of [297, 52, 105]-code) [i]
106Linear OA(3240, 288, F3, 104) (dual of [288, 48, 105]-code) [i]
107Linear OA(3235, 279, F3, 104) (dual of [279, 44, 105]-code) [i]
108Linear OA(3230, 270, F3, 104) (dual of [270, 40, 105]-code) [i]
109Linear OA(3225, 261, F3, 104) (dual of [261, 36, 105]-code) [i]
110Linear OA(3249, 297, F3, 109) (dual of [297, 48, 110]-code) [i]
111Linear OA(3244, 288, F3, 109) (dual of [288, 44, 110]-code) [i]
112Linear OA(3239, 279, F3, 109) (dual of [279, 40, 110]-code) [i]
113Linear OA(3234, 270, F3, 109) (dual of [270, 36, 110]-code) [i]
114Linear OA(3248, 288, F3, 114) (dual of [288, 40, 115]-code) [i]
115Linear OA(3243, 279, F3, 114) (dual of [279, 36, 115]-code) [i]
116Linear OA(320, 46, F3, 8) (dual of [46, 26, 9]-code) [i](u, u−v, u+v+w)-Construction
117Linear OA(375, 91, F3, 44) (dual of [91, 16, 45]-code) [i]Construction X with Cyclic Codes
118Linear OA(361, 132, F3, 20) (dual of [132, 71, 21]-code) [i]
119Linear OA(360, 132, F3, 20) (dual of [132, 72, 21]-code) [i]
120Linear OA(365, 132, F3, 22) (dual of [132, 67, 23]-code) [i]
121Linear OA(392, 103, F3, 54) (dual of [103, 11, 55]-code) [i]Construction XX with Cyclic Codes
122Linear OA(391, 101, F3, 54) (dual of [101, 10, 55]-code) [i]
123Linear OA(389, 97, F3, 54) (dual of [97, 8, 55]-code) [i]
124Linear OA(392, 101, F3, 55) (dual of [101, 9, 56]-code) [i]
125Linear OA(366, 138, F3, 22) (dual of [138, 72, 23]-code) [i]
126Linear OA(3127, 143, F3, 71) (dual of [143, 16, 72]-code) [i]
127Linear OA(3132, 147, F3, 73) (dual of [147, 15, 74]-code) [i]
128Linear OA(3131, 145, F3, 73) (dual of [145, 14, 74]-code) [i]
129Linear OA(3130, 143, F3, 73) (dual of [143, 13, 74]-code) [i]
130Linear OA(3101, 257, F3, 32) (dual of [257, 156, 33]-code) [i]
131Linear OA(3109, 265, F3, 34) (dual of [265, 156, 35]-code) [i]
132Linear OA(3107, 263, F3, 33) (dual of [263, 156, 34]-code) [i]
133Linear OA(3124, 280, F3, 36) (dual of [280, 156, 37]-code) [i]
134Linear OA(3116, 272, F3, 35) (dual of [272, 156, 36]-code) [i]
135Linear OA(3124, 280, F3, 37) (dual of [280, 156, 38]-code) [i]
136Linear OA(3127, 260, F3, 41) (dual of [260, 133, 42]-code) [i]
137Linear OA(3147, 259, F3, 49) (dual of [259, 112, 50]-code) [i]
138Linear OA(3115, 379, F3, 31) (dual of [379, 264, 32]-code) [i]
139Linear OA(3120, 381, F3, 32) (dual of [381, 261, 33]-code) [i]
140Linear OA(3127, 388, F3, 33) (dual of [388, 261, 34]-code) [i]
141Linear OA(3229, 747, F3, 59) (dual of [747, 518, 60]-code) [i]
142Linear OA(3235, 752, F3, 60) (dual of [752, 517, 61]-code) [i]
143Linear OA(3222, 740, F3, 58) (dual of [740, 518, 59]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
144Linear OA(396, 253, F3, 31) (dual of [253, 157, 32]-code) [i]
145Linear OA(3146, 254, F3, 49) (dual of [254, 108, 50]-code) [i]
146Linear OA(3121, 254, F3, 40) (dual of [254, 133, 41]-code) [i]
147Linear OA(354, 92, F3, 22) (dual of [92, 38, 23]-code) [i]
148Linear OA(3250, 766, F3, 62) (dual of [766, 516, 63]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
149Linear OA(3241, 759, F3, 60) (dual of [759, 518, 61]-code) [i]
150Linear OA(3243, 760, F3, 61) (dual of [760, 517, 62]-code) [i]
151Linear OA(3240, 757, F3, 60) (dual of [757, 517, 61]-code) [i]
152Linear OA(3242, 758, F3, 61) (dual of [758, 516, 62]-code) [i]
153Linear OA(3239, 755, F3, 60) (dual of [755, 516, 61]-code) [i]
154Linear OA(3127, 282, F3, 36) (dual of [282, 155, 37]-code) [i]
155Linear OA(3128, 282, F3, 37) (dual of [282, 154, 38]-code) [i]
156Linear OA(3126, 280, F3, 36) (dual of [280, 154, 37]-code) [i]
157Linear OA(3122, 279, F3, 35) (dual of [279, 157, 36]-code) [i]
158Linear OA(3121, 277, F3, 35) (dual of [277, 156, 36]-code) [i]
159Linear OA(3120, 275, F3, 35) (dual of [275, 155, 36]-code) [i]
160Linear OA(3112, 269, F3, 33) (dual of [269, 157, 34]-code) [i]
161Linear OA(3111, 267, F3, 33) (dual of [267, 156, 34]-code) [i]
162Linear OA(3113, 268, F3, 34) (dual of [268, 155, 35]-code) [i]
163Linear OA(3110, 265, F3, 33) (dual of [265, 155, 34]-code) [i]
164Linear OA(3109, 263, F3, 33) (dual of [263, 154, 34]-code) [i]
165Linear OA(3130, 284, F3, 38) (dual of [284, 154, 39]-code) [i]
166Linear OA(348, 92, F3, 19) (dual of [92, 44, 20]-code) [i]Construction X with VarÅ¡amov Bound
167Linear OA(349, 94, F3, 19) (dual of [94, 45, 20]-code) [i]
168Linear OA(350, 96, F3, 19) (dual of [96, 46, 20]-code) [i]
169Linear OA(351, 98, F3, 19) (dual of [98, 47, 20]-code) [i]
170Linear OA(349, 93, F3, 20) (dual of [93, 44, 21]-code) [i]
171Linear OA(350, 95, F3, 20) (dual of [95, 45, 21]-code) [i]
172Linear OA(351, 97, F3, 20) (dual of [97, 46, 21]-code) [i]
173Linear OA(365, 86, F3, 30) (dual of [86, 21, 31]-code) [i]
174Linear OA(375, 97, F3, 35) (dual of [97, 22, 36]-code) [i]
175Linear OA(399, 122, F3, 46) (dual of [122, 23, 47]-code) [i]
176Linear OA(3100, 121, F3, 48) (dual of [121, 21, 49]-code) [i]
177Linear OA(3100, 123, F3, 47) (dual of [123, 23, 48]-code) [i]
178Linear OA(3100, 122, F3, 48) (dual of [122, 22, 49]-code) [i]
179Linear OA(3126, 148, F3, 61) (dual of [148, 22, 62]-code) [i]
180Linear OA(3127, 150, F3, 61) (dual of [150, 23, 62]-code) [i]
181Linear OA(3128, 152, F3, 61) (dual of [152, 24, 62]-code) [i]
182Linear OA(3127, 149, F3, 62) (dual of [149, 22, 63]-code) [i]
183Linear OA(3128, 151, F3, 62) (dual of [151, 23, 63]-code) [i]
184Linear OA(3134, 157, F3, 65) (dual of [157, 23, 66]-code) [i]
185Linear OA(3134, 156, F3, 66) (dual of [156, 22, 67]-code) [i]
186Linear OA(3157, 179, F3, 78) (dual of [179, 22, 79]-code) [i]
187Linear OA(3158, 181, F3, 78) (dual of [181, 23, 79]-code) [i]
188Linear OA(3158, 180, F3, 79) (dual of [180, 22, 80]-code) [i]
189Linear OA(3166, 191, F3, 81) (dual of [191, 25, 82]-code) [i]
190Linear OA(3184, 219, F3, 86) (dual of [219, 35, 87]-code) [i]
191Linear OA(3184, 218, F3, 87) (dual of [218, 34, 88]-code) [i]
192Linear OA(3185, 220, F3, 87) (dual of [220, 35, 88]-code) [i]
193Linear OA(3185, 219, F3, 88) (dual of [219, 34, 89]-code) [i]
194Linear OA(3239, 278, F3, 114) (dual of [278, 39, 115]-code) [i]
195Linear OA(3246, 286, F3, 117) (dual of [286, 40, 118]-code) [i]
196Linear OA(3248, 287, F3, 119) (dual of [287, 39, 120]-code) [i]
197Linear OA(352, 102, F3, 20) (dual of [102, 50, 21]-code) [i]
198Linear OA(353, 104, F3, 20) (dual of [104, 51, 21]-code) [i]
199Linear OA(354, 106, F3, 20) (dual of [106, 52, 21]-code) [i]
200Linear OA(353, 103, F3, 21) (dual of [103, 50, 22]-code) [i]
201Linear OA(354, 105, F3, 21) (dual of [105, 51, 22]-code) [i]
202Linear OA(355, 107, F3, 21) (dual of [107, 52, 22]-code) [i]
203Linear OA(356, 109, F3, 21) (dual of [109, 53, 22]-code) [i]
204Linear OA(362, 88, F3, 28) (dual of [88, 26, 29]-code) [i]
205Linear OA(374, 98, F3, 34) (dual of [98, 24, 35]-code) [i]
206Linear OA(375, 100, F3, 34) (dual of [100, 25, 35]-code) [i]
207Linear OA(376, 113, F3, 32) (dual of [113, 37, 33]-code) [i]
208Linear OA(377, 115, F3, 32) (dual of [115, 38, 33]-code) [i]
209Linear OA(377, 99, F3, 36) (dual of [99, 22, 37]-code) [i]
210Linear OA(3102, 126, F3, 48) (dual of [126, 24, 49]-code) [i]
211Linear OA(3114, 139, F3, 54) (dual of [139, 25, 55]-code) [i]
212Linear OA(3115, 141, F3, 54) (dual of [141, 26, 55]-code) [i]
213Linear OA(386, 129, F3, 35) (dual of [129, 43, 36]-code) [i]
214Linear OA(387, 130, F3, 36) (dual of [130, 43, 37]-code) [i]
215Linear OA(388, 132, F3, 36) (dual of [132, 44, 37]-code) [i]
216Linear OA(389, 134, F3, 36) (dual of [134, 45, 37]-code) [i]
217Linear OA(390, 136, F3, 36) (dual of [136, 46, 37]-code) [i]
218Linear OA(388, 131, F3, 37) (dual of [131, 43, 38]-code) [i]
219Linear OA(389, 133, F3, 37) (dual of [133, 44, 38]-code) [i]
220Linear OA(393, 135, F3, 39) (dual of [135, 42, 40]-code) [i]
221Linear OA(394, 137, F3, 39) (dual of [137, 43, 40]-code) [i]
222Linear OA(394, 136, F3, 40) (dual of [136, 42, 41]-code) [i]
223Linear OA(396, 138, F3, 41) (dual of [138, 42, 42]-code) [i]
224Linear OA(3136, 173, F3, 61) (dual of [173, 37, 62]-code) [i]
225Linear OA(3137, 175, F3, 61) (dual of [175, 38, 62]-code) [i]
226Linear OA(3138, 177, F3, 61) (dual of [177, 39, 62]-code) [i]
227Linear OA(3137, 174, F3, 62) (dual of [174, 37, 63]-code) [i]
228Linear OA(3139, 175, F3, 63) (dual of [175, 36, 64]-code) [i]
229Linear OA(3140, 177, F3, 63) (dual of [177, 37, 64]-code) [i]
230Linear OA(3141, 177, F3, 64) (dual of [177, 36, 65]-code) [i]
231Linear OA(3141, 179, F3, 63) (dual of [179, 38, 64]-code) [i]
232Linear OA(3142, 181, F3, 63) (dual of [181, 39, 64]-code) [i]
233Linear OA(3179, 214, F3, 84) (dual of [214, 35, 85]-code) [i]
234Linear OOA(35, 5, F3, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code) [i]OOA Folding