Information on Result #604387

Linear OA(31, 2, F3, 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(3129, 145, F3, 71) (dual of [145, 16, 72]-code) [i]Construction XX with Cyclic Codes
2Linear OA(3137, 151, F3, 77) (dual of [151, 14, 78]-code) [i]
3Linear OA(3118, 134, F3, 68) (dual of [134, 16, 69]-code) [i]
4Linear OA(3113, 129, F3, 64) (dual of [129, 16, 65]-code) [i]
5Linear OA(336, 44, F3, 23) (dual of [44, 8, 24]-code) [i]
6Linear OA(336, 44, F3, 23) (dual of [44, 8, 24]-code) [i]
7Linear OA(3137, 153, F3, 75) (dual of [153, 16, 76]-code) [i]
8Linear OA(3130, 146, F3, 71) (dual of [146, 16, 72]-code) [i]Construction XX with a Chain of Cyclic Codes
9Linear OA(3119, 135, F3, 68) (dual of [135, 16, 69]-code) [i]
10Linear OA(338, 96, F3, 12) (dual of [96, 58, 13]-code) [i]
11Linear OA(337, 45, F3, 23) (dual of [45, 8, 24]-code) [i]
12Linear OA(3247, 6584, F3, 46) (dual of [6584, 6337, 47]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(3235, 6572, F3, 44) (dual of [6572, 6337, 45]-code) [i]
14Linear OA(3241, 6594, F3, 44) (dual of [6594, 6353, 45]-code) [i]
15Linear OA(3228, 6581, F3, 42) (dual of [6581, 6353, 43]-code) [i]
16Linear OA(3219, 6572, F3, 41) (dual of [6572, 6353, 42]-code) [i]
17Linear OA(3225, 6594, F3, 41) (dual of [6594, 6369, 42]-code) [i]
18Linear OA(3215, 6584, F3, 40) (dual of [6584, 6369, 41]-code) [i]
19Linear OA(3203, 6572, F3, 38) (dual of [6572, 6369, 39]-code) [i]
20Linear OA(3209, 6594, F3, 38) (dual of [6594, 6385, 39]-code) [i]
21Linear OA(3196, 6581, F3, 36) (dual of [6581, 6385, 37]-code) [i]
22Linear OA(3187, 6572, F3, 35) (dual of [6572, 6385, 36]-code) [i]
23Linear OA(3193, 6594, F3, 35) (dual of [6594, 6401, 36]-code) [i]
24Linear OA(3183, 6584, F3, 34) (dual of [6584, 6401, 35]-code) [i]
25Linear OA(3171, 6572, F3, 32) (dual of [6572, 6401, 33]-code) [i]
26Linear OA(3177, 6594, F3, 32) (dual of [6594, 6417, 33]-code) [i]
27Linear OA(3164, 6581, F3, 30) (dual of [6581, 6417, 31]-code) [i]
28Linear OA(3155, 6572, F3, 29) (dual of [6572, 6417, 30]-code) [i]
29Linear OA(3161, 6594, F3, 29) (dual of [6594, 6433, 30]-code) [i]
30Linear OA(3151, 6584, F3, 28) (dual of [6584, 6433, 29]-code) [i]
31Linear OA(3139, 6572, F3, 26) (dual of [6572, 6433, 27]-code) [i]
32Linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code) [i]
33Linear OA(3132, 6581, F3, 24) (dual of [6581, 6449, 25]-code) [i]
34Linear OA(3123, 6572, F3, 23) (dual of [6572, 6449, 24]-code) [i]
35Linear OA(3129, 6594, F3, 23) (dual of [6594, 6465, 24]-code) [i]
36Linear OA(3119, 6584, F3, 22) (dual of [6584, 6465, 23]-code) [i]
37Linear OA(3107, 6572, F3, 20) (dual of [6572, 6465, 21]-code) [i]
38Linear OA(3113, 6594, F3, 20) (dual of [6594, 6481, 21]-code) [i]
39Linear OA(3100, 6581, F3, 18) (dual of [6581, 6481, 19]-code) [i]
40Linear OA(391, 6572, F3, 17) (dual of [6572, 6481, 18]-code) [i]
41Linear OA(397, 6594, F3, 17) (dual of [6594, 6497, 18]-code) [i]
42Linear OA(387, 6584, F3, 16) (dual of [6584, 6497, 17]-code) [i]
43Linear OA(375, 6572, F3, 14) (dual of [6572, 6497, 15]-code) [i]
44Linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code) [i]
45Linear OA(3247, 3292, F3, 47) (dual of [3292, 3045, 48]-code) [i]
46Linear OA(3231, 3292, F3, 44) (dual of [3292, 3061, 45]-code) [i]
47Linear OA(3248, 2197, F3, 53) (dual of [2197, 1949, 54]-code) [i]
48Linear OA(3245, 2208, F3, 52) (dual of [2208, 1963, 53]-code) [i]
49Linear OA(3234, 2197, F3, 50) (dual of [2197, 1963, 51]-code) [i]
50Linear OA(3240, 2217, F3, 50) (dual of [2217, 1977, 51]-code) [i]
51Linear OA(3228, 2205, F3, 48) (dual of [2205, 1977, 49]-code) [i]
52Linear OA(3220, 2197, F3, 47) (dual of [2197, 1977, 48]-code) [i]
53Linear OA(3226, 2217, F3, 47) (dual of [2217, 1991, 48]-code) [i]
54Linear OA(3217, 2208, F3, 46) (dual of [2208, 1991, 47]-code) [i]
55Linear OA(3206, 2197, F3, 44) (dual of [2197, 1991, 45]-code) [i]
56Linear OA(3212, 2217, F3, 44) (dual of [2217, 2005, 45]-code) [i]
57Linear OA(3200, 2205, F3, 42) (dual of [2205, 2005, 43]-code) [i]
58Linear OA(3192, 2197, F3, 41) (dual of [2197, 2005, 42]-code) [i]
59Linear OA(3198, 2217, F3, 41) (dual of [2217, 2019, 42]-code) [i]
60Linear OA(3189, 2208, F3, 40) (dual of [2208, 2019, 41]-code) [i]
61Linear OA(3178, 2197, F3, 38) (dual of [2197, 2019, 39]-code) [i]
62Linear OA(3184, 2217, F3, 38) (dual of [2217, 2033, 39]-code) [i]
63Linear OA(3172, 2205, F3, 36) (dual of [2205, 2033, 37]-code) [i]
64Linear OA(3164, 2197, F3, 35) (dual of [2197, 2033, 36]-code) [i]
65Linear OA(3170, 2217, F3, 35) (dual of [2217, 2047, 36]-code) [i]
66Linear OA(3161, 2208, F3, 34) (dual of [2208, 2047, 35]-code) [i]
67Linear OA(3150, 2197, F3, 32) (dual of [2197, 2047, 33]-code) [i]
68Linear OA(3156, 2217, F3, 32) (dual of [2217, 2061, 33]-code) [i]
69Linear OA(3144, 2205, F3, 30) (dual of [2205, 2061, 31]-code) [i]
70Linear OA(3136, 2197, F3, 29) (dual of [2197, 2061, 30]-code) [i]
71Linear OA(3142, 2217, F3, 29) (dual of [2217, 2075, 30]-code) [i]
72Linear OA(3133, 2208, F3, 28) (dual of [2208, 2075, 29]-code) [i]
73Linear OA(3122, 2197, F3, 26) (dual of [2197, 2075, 27]-code) [i]
74Linear OA(3128, 2217, F3, 26) (dual of [2217, 2089, 27]-code) [i]
75Linear OA(3116, 2205, F3, 24) (dual of [2205, 2089, 25]-code) [i]
76Linear OA(3108, 2197, F3, 23) (dual of [2197, 2089, 24]-code) [i]
77Linear OA(3114, 2217, F3, 23) (dual of [2217, 2103, 24]-code) [i]
78Linear OA(3105, 2208, F3, 22) (dual of [2208, 2103, 23]-code) [i]
79Linear OA(394, 2197, F3, 20) (dual of [2197, 2103, 21]-code) [i]
80Linear OA(3100, 2217, F3, 20) (dual of [2217, 2117, 21]-code) [i]
81Linear OA(388, 2205, F3, 18) (dual of [2205, 2117, 19]-code) [i]
82Linear OA(380, 2197, F3, 17) (dual of [2197, 2117, 18]-code) [i]
83Linear OA(386, 2217, F3, 17) (dual of [2217, 2131, 18]-code) [i]
84Linear OA(377, 2208, F3, 16) (dual of [2208, 2131, 17]-code) [i]
85Linear OA(366, 2197, F3, 14) (dual of [2197, 2131, 15]-code) [i]
86Linear OA(372, 2217, F3, 14) (dual of [2217, 2145, 15]-code) [i]
87Linear OA(352, 2197, F3, 11) (dual of [2197, 2145, 12]-code) [i]
88Linear OA(338, 2197, F3, 8) (dual of [2197, 2159, 9]-code) [i]
89Linear OA(3249, 1112, F3, 54) (dual of [1112, 863, 55]-code) [i]
90Linear OA(3241, 1104, F3, 53) (dual of [1104, 863, 54]-code) [i]
91Linear OA(3238, 1115, F3, 52) (dual of [1115, 877, 53]-code) [i]
92Linear OA(3235, 1112, F3, 51) (dual of [1112, 877, 52]-code) [i]
93Linear OA(3227, 1104, F3, 50) (dual of [1104, 877, 51]-code) [i]
94Linear OA(3224, 1115, F3, 49) (dual of [1115, 891, 50]-code) [i]
95Linear OA(3221, 1112, F3, 48) (dual of [1112, 891, 49]-code) [i]
96Linear OA(3213, 1104, F3, 47) (dual of [1104, 891, 48]-code) [i]
97Linear OA(3195, 1107, F3, 43) (dual of [1107, 912, 44]-code) [i]
98Linear OA(3193, 1105, F3, 42) (dual of [1105, 912, 43]-code) [i]
99Linear OA(3249, 738, F3, 65) (dual of [738, 489, 66]-code) [i]
100Linear OA(3247, 748, F3, 64) (dual of [748, 501, 65]-code) [i]
101Linear OA(3237, 738, F3, 62) (dual of [738, 501, 63]-code) [i]
102Linear OA(3232, 745, F3, 60) (dual of [745, 513, 61]-code) [i]
103Linear OA(3225, 738, F3, 59) (dual of [738, 513, 60]-code) [i]
104Linear OA(3239, 767, F3, 59) (dual of [767, 528, 60]-code) [i]
105Linear OA(3227, 755, F3, 58) (dual of [755, 528, 59]-code) [i]
106Linear OA(3221, 749, F3, 56) (dual of [749, 528, 57]-code) [i]
107Linear OA(3217, 745, F3, 54) (dual of [745, 528, 55]-code) [i]
108Linear OA(3224, 764, F3, 54) (dual of [764, 540, 55]-code) [i]
109Linear OA(3210, 738, F3, 53) (dual of [738, 528, 54]-code) [i]
110Linear OA(3208, 748, F3, 52) (dual of [748, 540, 53]-code) [i]
111Linear OA(3205, 745, F3, 51) (dual of [745, 540, 52]-code) [i]
112Linear OA(3212, 764, F3, 51) (dual of [764, 552, 52]-code) [i]
113Linear OA(3198, 738, F3, 50) (dual of [738, 540, 51]-code) [i]
114Linear OA(3196, 748, F3, 49) (dual of [748, 552, 50]-code) [i]
115Linear OA(3193, 745, F3, 48) (dual of [745, 552, 49]-code) [i]
116Linear OA(3200, 764, F3, 48) (dual of [764, 564, 49]-code) [i]
117Linear OA(3186, 738, F3, 47) (dual of [738, 552, 48]-code) [i]
118Linear OA(3184, 748, F3, 46) (dual of [748, 564, 47]-code) [i]
119Linear OA(3181, 745, F3, 45) (dual of [745, 564, 46]-code) [i]
120Linear OA(3188, 764, F3, 45) (dual of [764, 576, 46]-code) [i]
121Linear OA(3174, 738, F3, 44) (dual of [738, 564, 45]-code) [i]
122Linear OA(3172, 748, F3, 43) (dual of [748, 576, 44]-code) [i]
123Linear OA(3169, 745, F3, 42) (dual of [745, 576, 43]-code) [i]
124Linear OA(3176, 764, F3, 42) (dual of [764, 588, 43]-code) [i]
125Linear OA(3162, 738, F3, 41) (dual of [738, 576, 42]-code) [i]
126Linear OA(3160, 748, F3, 40) (dual of [748, 588, 41]-code) [i]
127Linear OA(3157, 745, F3, 39) (dual of [745, 588, 40]-code) [i]
128Linear OA(3164, 764, F3, 39) (dual of [764, 600, 40]-code) [i]
129Linear OA(3150, 738, F3, 38) (dual of [738, 588, 39]-code) [i]
130Linear OA(3148, 748, F3, 37) (dual of [748, 600, 38]-code) [i]
131Linear OA(3145, 745, F3, 36) (dual of [745, 600, 37]-code) [i]
132Linear OA(3152, 764, F3, 36) (dual of [764, 612, 37]-code) [i]
133Linear OA(3138, 738, F3, 35) (dual of [738, 600, 36]-code) [i]
134Linear OA(3136, 748, F3, 34) (dual of [748, 612, 35]-code) [i]
135Linear OA(3133, 745, F3, 33) (dual of [745, 612, 34]-code) [i]
136Linear OA(3142, 763, F3, 34) (dual of [763, 621, 35]-code) [i]
137Linear OA(3140, 761, F3, 33) (dual of [761, 621, 34]-code) [i]
138Linear OA(3126, 738, F3, 32) (dual of [738, 612, 33]-code) [i]
139Linear OA(3123, 744, F3, 31) (dual of [744, 621, 32]-code) [i]
140Linear OA(3121, 742, F3, 30) (dual of [742, 621, 31]-code) [i]
141Linear OA(3130, 763, F3, 31) (dual of [763, 633, 32]-code) [i]
142Linear OA(3128, 761, F3, 30) (dual of [761, 633, 31]-code) [i]
143Linear OA(3114, 735, F3, 29) (dual of [735, 621, 30]-code) [i]
144Linear OA(3115, 748, F3, 28) (dual of [748, 633, 29]-code) [i]
145Linear OA(3105, 738, F3, 26) (dual of [738, 633, 27]-code) [i]
146Linear OA(3100, 745, F3, 24) (dual of [745, 645, 25]-code) [i]
147Linear OA(393, 738, F3, 23) (dual of [738, 645, 24]-code) [i]
148Linear OA(391, 748, F3, 22) (dual of [748, 657, 23]-code) [i]
149Linear OA(381, 738, F3, 20) (dual of [738, 657, 21]-code) [i]
150Linear OA(376, 745, F3, 18) (dual of [745, 669, 19]-code) [i]
151Linear OA(369, 738, F3, 17) (dual of [738, 669, 18]-code) [i]
152Linear OA(367, 748, F3, 16) (dual of [748, 681, 17]-code) [i]
153Linear OA(357, 738, F3, 14) (dual of [738, 681, 15]-code) [i]
154Linear OA(345, 738, F3, 11) (dual of [738, 693, 12]-code) [i]
155Linear OA(333, 738, F3, 8) (dual of [738, 705, 9]-code) [i]
156Linear OA(3166, 381, F3, 46) (dual of [381, 215, 47]-code) [i]
157Linear OA(3111, 371, F3, 29) (dual of [371, 260, 30]-code) [i]
158Linear OA(3102, 374, F3, 26) (dual of [374, 272, 27]-code) [i]
159Linear OA(390, 374, F3, 23) (dual of [374, 284, 24]-code) [i]
160Linear OA(378, 374, F3, 20) (dual of [374, 296, 21]-code) [i]
161Linear OA(366, 374, F3, 17) (dual of [374, 308, 18]-code) [i]
162Linear OA(3148, 251, F3, 50) (dual of [251, 103, 51]-code) [i]
163Linear OA(3143, 261, F3, 47) (dual of [261, 118, 48]-code) [i]
164Linear OA(3139, 257, F3, 45) (dual of [257, 118, 46]-code) [i]
165Linear OA(3133, 251, F3, 44) (dual of [251, 118, 45]-code) [i]
166Linear OA(3132, 260, F3, 43) (dual of [260, 128, 44]-code) [i]
167Linear OA(3129, 257, F3, 42) (dual of [257, 128, 43]-code) [i]
168Linear OA(3123, 251, F3, 41) (dual of [251, 128, 42]-code) [i]
169Linear OA(3126, 269, F3, 40) (dual of [269, 143, 41]-code) [i]
170Linear OA(3118, 261, F3, 38) (dual of [261, 143, 39]-code) [i]
171Linear OA(3114, 257, F3, 36) (dual of [257, 143, 37]-code) [i]
172Linear OA(3108, 251, F3, 35) (dual of [251, 143, 36]-code) [i]
173Linear OA(3118, 281, F3, 33) (dual of [281, 163, 34]-code) [i]
174Linear OA(3112, 275, F3, 32) (dual of [275, 163, 33]-code) [i]
175Linear OA(3101, 264, F3, 31) (dual of [264, 163, 32]-code) [i]
176Linear OA(398, 261, F3, 29) (dual of [261, 163, 30]-code) [i]
177Linear OA(3103, 276, F3, 28) (dual of [276, 173, 29]-code) [i]
178Linear OA(388, 251, F3, 26) (dual of [251, 163, 27]-code) [i]
179Linear OA(378, 251, F3, 23) (dual of [251, 173, 24]-code) [i]
180Linear OA(377, 260, F3, 22) (dual of [260, 183, 23]-code) [i]
181Linear OA(368, 251, F3, 20) (dual of [251, 183, 21]-code) [i]
182Linear OA(358, 251, F3, 17) (dual of [251, 193, 18]-code) [i]
183Linear OA(357, 260, F3, 16) (dual of [260, 203, 17]-code) [i]
184Linear OA(348, 251, F3, 14) (dual of [251, 203, 15]-code) [i]
185Linear OA(338, 251, F3, 11) (dual of [251, 213, 12]-code) [i]
186Linear OA(328, 251, F3, 8) (dual of [251, 223, 9]-code) [i]
187Linear OA(3158, 174, F3, 88) (dual of [174, 16, 89]-code) [i]
188Linear OA(3153, 169, F3, 84) (dual of [169, 16, 85]-code) [i]
189Linear OA(363, 130, F3, 20) (dual of [130, 67, 21]-code) [i]
190Linear OA(349, 131, F3, 15) (dual of [131, 82, 16]-code) [i]
191Linear OA(345, 88, F3, 17) (dual of [88, 43, 18]-code) [i]
192Linear OA(344, 95, F3, 16) (dual of [95, 51, 17]-code) [i]
193Linear OA(342, 93, F3, 15) (dual of [93, 51, 16]-code) [i]
194Linear OA(337, 88, F3, 14) (dual of [88, 51, 15]-code) [i]
195Linear OA(342, 99, F3, 14) (dual of [99, 57, 15]-code) [i]
196Linear OA(336, 93, F3, 13) (dual of [93, 57, 14]-code) [i]
197Linear OA(334, 91, F3, 12) (dual of [91, 57, 13]-code) [i]
198Linear OA(329, 86, F3, 11) (dual of [86, 57, 12]-code) [i]
199Linear OA(334, 99, F3, 11) (dual of [99, 65, 12]-code) [i]
200Linear OA(323, 88, F3, 8) (dual of [88, 65, 9]-code) [i]
201Linear OA(341, 49, F3, 24) (dual of [49, 8, 25]-code) [i]
202Linear OA(3107, 280, F3, 30) (dual of [280, 173, 31]-code) [i]
203Linear OA(3105, 278, F3, 29) (dual of [278, 173, 30]-code) [i]
204Linear OA(342, 49, F3, 26) (dual of [49, 7, 27]-code) [i]Construction XX with De Boer–Brouwer Codes
205Linear OA(340, 47, F3, 25) (dual of [47, 7, 26]-code) [i]
206Linear OA(346, 53, F3, 29) (dual of [53, 7, 30]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
207Linear OA(341, 48, F3, 25) (dual of [48, 7, 26]-code) [i]