Information on Result #606432

Linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using Reed–Solomon code RS(23,32)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(32107, 1060, F32, 39) (dual of [1060, 953, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(32109, 1063, F32, 39) (dual of [1063, 954, 40]-code) [i]
3Linear OA(32110, 1066, F32, 39) (dual of [1066, 956, 40]-code) [i]
4Linear OA(32105, 1061, F32, 38) (dual of [1061, 956, 39]-code) [i]
5Linear OA(32106, 1064, F32, 38) (dual of [1064, 958, 39]-code) [i]
6Linear OA(32107, 1067, F32, 38) (dual of [1067, 960, 39]-code) [i]
7Linear OA(32108, 1070, F32, 38) (dual of [1070, 962, 39]-code) [i]
8Linear OA(32104, 1063, F32, 37) (dual of [1063, 959, 38]-code) [i]
9Linear OA(32105, 1066, F32, 37) (dual of [1066, 961, 38]-code) [i]
10Linear OA(32102, 1064, F32, 36) (dual of [1064, 962, 37]-code) [i]
11Linear OA(3284, 1058, F32, 29) (dual of [1058, 974, 30]-code) [i]
12Linear OA(32109, 112, F32, 105) (dual of [112, 3, 106]-code) [i]Juxtaposition
13Linear OOA(2120, 75, F2, 2, 49) (dual of [(75, 2), 30, 50]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(2161, 87, F2, 3, 49) (dual of [(87, 3), 100, 50]-NRT-code) [i]
15Linear OOA(2157, 84, F2, 3, 49) (dual of [(84, 3), 95, 50]-NRT-code) [i]
16Linear OOA(2153, 81, F2, 3, 49) (dual of [(81, 3), 90, 50]-NRT-code) [i]
17Linear OOA(2149, 78, F2, 3, 49) (dual of [(78, 3), 85, 50]-NRT-code) [i]
18Linear OOA(2145, 75, F2, 3, 49) (dual of [(75, 3), 80, 50]-NRT-code) [i]
19Linear OOA(2141, 72, F2, 3, 49) (dual of [(72, 3), 75, 50]-NRT-code) [i]
20Linear OOA(2121, 57, F2, 3, 49) (dual of [(57, 3), 50, 50]-NRT-code) [i]
21Linear OOA(2117, 54, F2, 3, 49) (dual of [(54, 3), 45, 50]-NRT-code) [i]
22Linear OOA(2113, 51, F2, 3, 49) (dual of [(51, 3), 40, 50]-NRT-code) [i]
23Linear OOA(2109, 48, F2, 3, 49) (dual of [(48, 3), 35, 50]-NRT-code) [i]
24Linear OOA(2105, 45, F2, 3, 49) (dual of [(45, 3), 30, 50]-NRT-code) [i]
25Linear OOA(2101, 42, F2, 3, 49) (dual of [(42, 3), 25, 50]-NRT-code) [i]
26Linear OOA(2185, 70, F2, 3, 99) (dual of [(70, 3), 25, 100]-NRT-code) [i]
27Linear OOA(2175, 65, F2, 3, 99) (dual of [(65, 3), 20, 100]-NRT-code) [i]
28Linear OOA(2165, 60, F2, 3, 99) (dual of [(60, 3), 15, 100]-NRT-code) [i]
29Linear OOA(2155, 55, F2, 3, 99) (dual of [(55, 3), 10, 100]-NRT-code) [i]
30Linear OOA(2178, 57, F2, 4, 79) (dual of [(57, 4), 50, 80]-NRT-code) [i]
31Linear OOA(2240, 65, F2, 4, 149) (dual of [(65, 4), 20, 150]-NRT-code) [i]
32Linear OOA(2225, 60, F2, 4, 149) (dual of [(60, 4), 15, 150]-NRT-code) [i]
33Linear OOA(2210, 55, F2, 4, 149) (dual of [(55, 4), 10, 150]-NRT-code) [i]
34Linear OA(32110, 138, F32, 90) (dual of [138, 28, 91]-code) [i]Construction X with Algebraic-Geometric Codes
35Linear OA(32109, 138, F32, 89) (dual of [138, 29, 90]-code) [i]
36Linear OA(32108, 138, F32, 88) (dual of [138, 30, 89]-code) [i]
37Linear OA(32107, 138, F32, 87) (dual of [138, 31, 88]-code) [i]
38Linear OA(32106, 138, F32, 86) (dual of [138, 32, 87]-code) [i]
39Linear OA(32105, 138, F32, 85) (dual of [138, 33, 86]-code) [i]
40Linear OA(32104, 138, F32, 84) (dual of [138, 34, 85]-code) [i]
41Linear OA(32103, 138, F32, 83) (dual of [138, 35, 84]-code) [i]
42Linear OA(32102, 138, F32, 82) (dual of [138, 36, 83]-code) [i]
43Linear OA(32101, 138, F32, 81) (dual of [138, 37, 82]-code) [i]
44Linear OA(32100, 138, F32, 80) (dual of [138, 38, 81]-code) [i]
45Linear OA(3299, 138, F32, 79) (dual of [138, 39, 80]-code) [i]
46Linear OA(3298, 138, F32, 78) (dual of [138, 40, 79]-code) [i]
47Linear OA(3297, 138, F32, 77) (dual of [138, 41, 78]-code) [i]
48Linear OA(3296, 138, F32, 76) (dual of [138, 42, 77]-code) [i]
49Linear OA(3295, 138, F32, 75) (dual of [138, 43, 76]-code) [i]
50Linear OA(3294, 138, F32, 74) (dual of [138, 44, 75]-code) [i]
51Linear OA(3293, 138, F32, 73) (dual of [138, 45, 74]-code) [i]
52Linear OA(3292, 138, F32, 72) (dual of [138, 46, 73]-code) [i]
53Linear OA(3291, 138, F32, 71) (dual of [138, 47, 72]-code) [i]
54Linear OA(3290, 138, F32, 70) (dual of [138, 48, 71]-code) [i]
55Linear OA(3289, 138, F32, 69) (dual of [138, 49, 70]-code) [i]
56Linear OA(3288, 138, F32, 68) (dual of [138, 50, 69]-code) [i]
57Linear OA(3287, 138, F32, 67) (dual of [138, 51, 68]-code) [i]
58Linear OA(3286, 138, F32, 66) (dual of [138, 52, 67]-code) [i]
59Linear OA(3285, 138, F32, 65) (dual of [138, 53, 66]-code) [i]
60Linear OA(3284, 138, F32, 64) (dual of [138, 54, 65]-code) [i]
61Linear OA(3283, 138, F32, 63) (dual of [138, 55, 64]-code) [i]
62Linear OA(3282, 138, F32, 62) (dual of [138, 56, 63]-code) [i]
63Linear OA(3281, 138, F32, 61) (dual of [138, 57, 62]-code) [i]
64Linear OA(3280, 138, F32, 60) (dual of [138, 58, 61]-code) [i]
65Linear OA(3279, 138, F32, 59) (dual of [138, 59, 60]-code) [i]
66Linear OA(3278, 138, F32, 58) (dual of [138, 60, 59]-code) [i]
67Linear OA(3277, 138, F32, 57) (dual of [138, 61, 58]-code) [i]
68Linear OA(3276, 138, F32, 56) (dual of [138, 62, 57]-code) [i]
69Linear OA(3275, 138, F32, 55) (dual of [138, 63, 56]-code) [i]
70Linear OA(3274, 138, F32, 54) (dual of [138, 64, 55]-code) [i]
71Linear OA(3273, 138, F32, 53) (dual of [138, 65, 54]-code) [i]
72Linear OA(3272, 138, F32, 52) (dual of [138, 66, 53]-code) [i]
73Linear OA(3271, 138, F32, 51) (dual of [138, 67, 52]-code) [i]
74Linear OA(3270, 138, F32, 50) (dual of [138, 68, 51]-code) [i]
75Linear OA(3269, 138, F32, 49) (dual of [138, 69, 50]-code) [i]
76Linear OA(3268, 138, F32, 48) (dual of [138, 70, 49]-code) [i]
77Linear OA(3267, 138, F32, 47) (dual of [138, 71, 48]-code) [i]
78Linear OA(3266, 138, F32, 46) (dual of [138, 72, 47]-code) [i]
79Linear OA(3265, 138, F32, 45) (dual of [138, 73, 46]-code) [i]
80Linear OA(3264, 138, F32, 44) (dual of [138, 74, 45]-code) [i]
81Linear OA(3263, 138, F32, 43) (dual of [138, 75, 44]-code) [i]
82Linear OA(3262, 138, F32, 42) (dual of [138, 76, 43]-code) [i]
83Linear OA(3261, 138, F32, 41) (dual of [138, 77, 42]-code) [i]
84Linear OA(3260, 138, F32, 40) (dual of [138, 78, 41]-code) [i]
85Linear OA(3259, 138, F32, 39) (dual of [138, 79, 40]-code) [i]
86Linear OA(3258, 138, F32, 38) (dual of [138, 80, 39]-code) [i]
87Linear OA(3257, 138, F32, 37) (dual of [138, 81, 38]-code) [i]
88Linear OA(3256, 138, F32, 36) (dual of [138, 82, 37]-code) [i]
89Linear OA(3255, 138, F32, 35) (dual of [138, 83, 36]-code) [i]
90Linear OA(3254, 138, F32, 34) (dual of [138, 84, 35]-code) [i]
91Linear OA(3253, 138, F32, 33) (dual of [138, 85, 34]-code) [i]
92Linear OA(3252, 138, F32, 32) (dual of [138, 86, 33]-code) [i]
93Linear OA(3251, 138, F32, 31) (dual of [138, 87, 32]-code) [i]
94Linear OA(3250, 138, F32, 30) (dual of [138, 88, 31]-code) [i]
95Linear OA(3249, 138, F32, 29) (dual of [138, 89, 30]-code) [i]
96Linear OA(3248, 138, F32, 28) (dual of [138, 90, 29]-code) [i]
97Linear OA(3247, 138, F32, 27) (dual of [138, 91, 28]-code) [i]
98Linear OA(3246, 138, F32, 26) (dual of [138, 92, 27]-code) [i]
99Linear OA(3245, 138, F32, 25) (dual of [138, 93, 26]-code) [i]
100Linear OA(3277, 1047, F32, 29) (dual of [1047, 970, 30]-code) [i](u, u−v, u+v+w)-Construction
101Linear OA(3278, 1049, F32, 29) (dual of [1049, 971, 30]-code) [i]
102Linear OA(3279, 1051, F32, 29) (dual of [1051, 972, 30]-code) [i]
103Linear OA(32105, 32791, F32, 29) (dual of [32791, 32686, 30]-code) [i]
104Linear OA(32106, 32793, F32, 29) (dual of [32793, 32687, 30]-code) [i]
105Linear OA(32107, 32795, F32, 29) (dual of [32795, 32688, 30]-code) [i]
106Linear OA(3275, 1046, F32, 28) (dual of [1046, 971, 29]-code) [i]
107Linear OA(3276, 1048, F32, 28) (dual of [1048, 972, 29]-code) [i]
108Linear OA(3277, 1050, F32, 28) (dual of [1050, 973, 29]-code) [i]
109Linear OA(32102, 32790, F32, 28) (dual of [32790, 32688, 29]-code) [i]
110Linear OA(32103, 32792, F32, 28) (dual of [32792, 32689, 29]-code) [i]
111Linear OA(32104, 32794, F32, 28) (dual of [32794, 32690, 29]-code) [i]
112Linear OA(3273, 1047, F32, 27) (dual of [1047, 974, 28]-code) [i]
113Linear OA(3274, 1049, F32, 27) (dual of [1049, 975, 28]-code) [i]
114Linear OA(3299, 32791, F32, 27) (dual of [32791, 32692, 28]-code) [i]
115Linear OA(32100, 32793, F32, 27) (dual of [32793, 32693, 28]-code) [i]
116Linear OA(32110, 1054, F32, 51) (dual of [1054, 944, 52]-code) [i]Construction X with Cyclic Codes
117Linear OA(32106, 1054, F32, 49) (dual of [1054, 948, 50]-code) [i]
118Linear OA(32102, 1054, F32, 47) (dual of [1054, 952, 48]-code) [i]
119Linear OA(3298, 1054, F32, 45) (dual of [1054, 956, 46]-code) [i]
120Linear OA(3294, 1054, F32, 43) (dual of [1054, 960, 44]-code) [i]
121Linear OA(3290, 1054, F32, 41) (dual of [1054, 964, 42]-code) [i]
122Linear OA(3286, 1054, F32, 39) (dual of [1054, 968, 40]-code) [i]
123Linear OA(3282, 1054, F32, 37) (dual of [1054, 972, 38]-code) [i]
124Linear OA(3278, 1054, F32, 35) (dual of [1054, 976, 36]-code) [i]
125Linear OA(3274, 1054, F32, 33) (dual of [1054, 980, 34]-code) [i]
126Linear OA(3270, 1054, F32, 31) (dual of [1054, 984, 32]-code) [i]
127Linear OA(3266, 1054, F32, 29) (dual of [1054, 988, 30]-code) [i]
128Linear OA(3262, 1054, F32, 27) (dual of [1054, 992, 28]-code) [i]
129Linear OA(3258, 1054, F32, 25) (dual of [1054, 996, 26]-code) [i]
130Linear OA(3254, 1054, F32, 23) (dual of [1054, 1000, 24]-code) [i]
131Linear OA(3250, 1054, F32, 21) (dual of [1054, 1004, 22]-code) [i]
132Linear OA(3248, 1054, F32, 20) (dual of [1054, 1006, 21]-code) [i]Construction XX with Cyclic Codes
133Linear OA(3252, 1054, F32, 22) (dual of [1054, 1002, 23]-code) [i]
134Linear OA(3256, 1054, F32, 24) (dual of [1054, 998, 25]-code) [i]
135Linear OA(3260, 1054, F32, 26) (dual of [1054, 994, 27]-code) [i]
136Linear OA(3264, 1054, F32, 28) (dual of [1054, 990, 29]-code) [i]
137Linear OA(3268, 1054, F32, 30) (dual of [1054, 986, 31]-code) [i]
138Linear OA(3272, 1054, F32, 32) (dual of [1054, 982, 33]-code) [i]
139Linear OA(3288, 1081, F32, 36) (dual of [1081, 993, 37]-code) [i]
140Linear OA(3290, 1081, F32, 37) (dual of [1081, 991, 38]-code) [i]
141Linear OA(3293, 1082, F32, 38) (dual of [1082, 989, 39]-code) [i]
142Linear OA(3275, 1051, F32, 35) (dual of [1051, 976, 36]-code) [i]
143Linear OA(3292, 1081, F32, 38) (dual of [1081, 989, 39]-code) [i]
144Linear OA(3295, 1082, F32, 39) (dual of [1082, 987, 40]-code) [i]
145Linear OA(3277, 1051, F32, 36) (dual of [1051, 974, 37]-code) [i]
146Linear OA(3294, 1081, F32, 39) (dual of [1081, 987, 40]-code) [i]
147Linear OA(3297, 1082, F32, 40) (dual of [1082, 985, 41]-code) [i]
148Linear OA(3279, 1051, F32, 37) (dual of [1051, 972, 38]-code) [i]
149Linear OA(3296, 1081, F32, 40) (dual of [1081, 985, 41]-code) [i]
150Linear OA(3299, 1082, F32, 41) (dual of [1082, 983, 42]-code) [i]
151Linear OA(3281, 1051, F32, 38) (dual of [1051, 970, 39]-code) [i]
152Linear OA(3298, 1081, F32, 41) (dual of [1081, 983, 42]-code) [i]
153Linear OA(32101, 1082, F32, 42) (dual of [1082, 981, 43]-code) [i]
154Linear OA(3283, 1051, F32, 39) (dual of [1051, 968, 40]-code) [i]
155Linear OA(32104, 1084, F32, 43) (dual of [1084, 980, 44]-code) [i]
156Linear OA(3285, 1051, F32, 40) (dual of [1051, 966, 41]-code) [i]
157Linear OA(32103, 1084, F32, 43) (dual of [1084, 981, 44]-code) [i]
158Linear OA(32106, 1084, F32, 44) (dual of [1084, 978, 45]-code) [i]
159Linear OA(32106, 1085, F32, 44) (dual of [1085, 979, 45]-code) [i]
160Linear OA(3287, 1051, F32, 41) (dual of [1051, 964, 42]-code) [i]
161Linear OA(32102, 1083, F32, 43) (dual of [1083, 981, 44]-code) [i]
162Linear OA(32105, 1084, F32, 44) (dual of [1084, 979, 45]-code) [i]
163Linear OA(32108, 1084, F32, 45) (dual of [1084, 976, 46]-code) [i]
164Linear OA(32103, 1085, F32, 43) (dual of [1085, 982, 44]-code) [i]
165Linear OA(32105, 1085, F32, 44) (dual of [1085, 980, 45]-code) [i]
166Linear OA(32108, 1085, F32, 45) (dual of [1085, 977, 46]-code) [i]
167Linear OA(3289, 1051, F32, 42) (dual of [1051, 962, 43]-code) [i]
168Linear OA(32104, 1083, F32, 44) (dual of [1083, 979, 45]-code) [i]
169Linear OA(32107, 1084, F32, 45) (dual of [1084, 977, 46]-code) [i]
170Linear OA(32110, 1084, F32, 46) (dual of [1084, 974, 47]-code) [i]
171Linear OA(32104, 1084, F32, 44) (dual of [1084, 980, 45]-code) [i]
172Linear OA(32107, 1085, F32, 45) (dual of [1085, 978, 46]-code) [i]
173Linear OA(32110, 1085, F32, 46) (dual of [1085, 975, 47]-code) [i]
174Linear OA(32106, 1083, F32, 45) (dual of [1083, 977, 46]-code) [i]
175Linear OA(32109, 1084, F32, 46) (dual of [1084, 975, 47]-code) [i]
176Linear OA(32106, 1084, F32, 45) (dual of [1084, 978, 46]-code) [i]
177Linear OA(32109, 1085, F32, 46) (dual of [1085, 976, 47]-code) [i]
178Linear OA(32108, 1083, F32, 46) (dual of [1083, 975, 47]-code) [i]
179Linear OA(32108, 1084, F32, 46) (dual of [1084, 976, 47]-code) [i]
180Linear OA(3295, 1054, F32, 45) (dual of [1054, 959, 46]-code) [i]
181Linear OA(32110, 1083, F32, 47) (dual of [1083, 973, 48]-code) [i]
182Linear OA(32110, 1084, F32, 47) (dual of [1084, 974, 48]-code) [i]
183Linear OA(3297, 1054, F32, 46) (dual of [1054, 957, 47]-code) [i]
184Linear OA(3299, 1054, F32, 47) (dual of [1054, 955, 48]-code) [i]
185Linear OA(32101, 1054, F32, 48) (dual of [1054, 953, 49]-code) [i]
186Linear OA(32103, 1054, F32, 49) (dual of [1054, 951, 50]-code) [i]
187Linear OA(32105, 1054, F32, 50) (dual of [1054, 949, 51]-code) [i]
188Linear OA(32107, 1054, F32, 51) (dual of [1054, 947, 52]-code) [i]
189Linear OA(32109, 1054, F32, 52) (dual of [1054, 945, 53]-code) [i]
190Linear OA(3287, 1050, F32, 41) (dual of [1050, 963, 42]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
191Linear OA(3285, 1050, F32, 40) (dual of [1050, 965, 41]-code) [i]
192Linear OA(3283, 1050, F32, 39) (dual of [1050, 967, 40]-code) [i]
193Linear OA(3281, 1050, F32, 38) (dual of [1050, 969, 39]-code) [i]
194Linear OA(3279, 1050, F32, 37) (dual of [1050, 971, 38]-code) [i]
195Linear OA(3277, 1050, F32, 36) (dual of [1050, 973, 37]-code) [i]
196Linear OA(3275, 1050, F32, 35) (dual of [1050, 975, 36]-code) [i]
197Linear OA(3273, 1050, F32, 34) (dual of [1050, 977, 35]-code) [i]
198Linear OA(3272, 1051, F32, 33) (dual of [1051, 979, 34]-code) [i]
199Linear OA(32109, 1053, F32, 52) (dual of [1053, 944, 53]-code) [i]
200Linear OA(32107, 1053, F32, 51) (dual of [1053, 946, 52]-code) [i]
201Linear OA(32105, 1053, F32, 50) (dual of [1053, 948, 51]-code) [i]
202Linear OA(32103, 1053, F32, 49) (dual of [1053, 950, 50]-code) [i]
203Linear OA(32101, 1053, F32, 48) (dual of [1053, 952, 49]-code) [i]
204Linear OA(3299, 1053, F32, 47) (dual of [1053, 954, 48]-code) [i]
205Linear OA(3297, 1053, F32, 46) (dual of [1053, 956, 47]-code) [i]
206Linear OA(3295, 1053, F32, 45) (dual of [1053, 958, 46]-code) [i]
207Linear OA(3293, 1053, F32, 44) (dual of [1053, 960, 45]-code) [i]
208Linear OA(3291, 1052, F32, 43) (dual of [1052, 961, 44]-code) [i]
209Linear OA(3268, 1053, F32, 30) (dual of [1053, 985, 31]-code) [i]
210Linear OA(3264, 1053, F32, 28) (dual of [1053, 989, 29]-code) [i]
211Linear OA(3260, 1053, F32, 26) (dual of [1053, 993, 27]-code) [i]
212Linear OA(3256, 1053, F32, 24) (dual of [1053, 997, 25]-code) [i]
213Linear OA(3252, 1053, F32, 22) (dual of [1053, 1001, 23]-code) [i]
214Linear OA(3248, 1053, F32, 20) (dual of [1053, 1005, 21]-code) [i]