Information on Result #606727

Linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using Reed–Solomon code RS(252,256)

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(25666, 65561, F256, 23) (dual of [65561, 65495, 24]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(25653, 65555, F256, 19) (dual of [65555, 65502, 20]-code) [i]
3Linear OA(25654, 65558, F256, 19) (dual of [65558, 65504, 20]-code) [i]
4Linear OA(25651, 65554, F256, 18) (dual of [65554, 65503, 19]-code) [i]
5Linear OA(25648, 65555, F256, 17) (dual of [65555, 65507, 18]-code) [i]
6Linear OA(2567, 259, F256, 6) (dual of [259, 252, 7]-code) [i]Construction X with Reed–Solomon Codes
7Linear OA(2565, 259, F256, 4) (dual of [259, 254, 5]-code) [i]
8Linear OA(2569, 261, F256, 7) (dual of [261, 252, 8]-code) [i]
9Linear OA(25611, 263, F256, 8) (dual of [263, 252, 9]-code) [i]
10Linear OA(25668, 265, F256, 64) (dual of [265, 197, 65]-code) [i]
11Linear OA(25667, 265, F256, 63) (dual of [265, 198, 64]-code) [i]
12Linear OA(25666, 265, F256, 62) (dual of [265, 199, 63]-code) [i]
13Linear OA(25665, 265, F256, 61) (dual of [265, 200, 62]-code) [i]
14Linear OA(25664, 265, F256, 60) (dual of [265, 201, 61]-code) [i]
15Linear OA(25663, 265, F256, 59) (dual of [265, 202, 60]-code) [i]
16Linear OA(25662, 265, F256, 58) (dual of [265, 203, 59]-code) [i]
17Linear OA(25661, 265, F256, 57) (dual of [265, 204, 58]-code) [i]
18Linear OA(25660, 265, F256, 56) (dual of [265, 205, 57]-code) [i]
19Linear OA(25659, 265, F256, 55) (dual of [265, 206, 56]-code) [i]
20Linear OA(25658, 265, F256, 54) (dual of [265, 207, 55]-code) [i]
21Linear OA(25657, 265, F256, 53) (dual of [265, 208, 54]-code) [i]
22Linear OA(25656, 265, F256, 52) (dual of [265, 209, 53]-code) [i]
23Linear OA(25655, 265, F256, 51) (dual of [265, 210, 52]-code) [i]
24Linear OA(25654, 265, F256, 50) (dual of [265, 211, 51]-code) [i]
25Linear OA(25653, 265, F256, 49) (dual of [265, 212, 50]-code) [i]
26Linear OA(25652, 265, F256, 48) (dual of [265, 213, 49]-code) [i]
27Linear OA(25651, 265, F256, 47) (dual of [265, 214, 48]-code) [i]
28Linear OA(25650, 265, F256, 46) (dual of [265, 215, 47]-code) [i]
29Linear OA(25649, 265, F256, 45) (dual of [265, 216, 46]-code) [i]
30Linear OA(25648, 265, F256, 44) (dual of [265, 217, 45]-code) [i]
31Linear OA(25647, 265, F256, 43) (dual of [265, 218, 44]-code) [i]
32Linear OA(25646, 265, F256, 42) (dual of [265, 219, 43]-code) [i]
33Linear OA(25645, 265, F256, 41) (dual of [265, 220, 42]-code) [i]
34Linear OA(25644, 265, F256, 40) (dual of [265, 221, 41]-code) [i]
35Linear OA(25643, 265, F256, 39) (dual of [265, 222, 40]-code) [i]
36Linear OA(25642, 265, F256, 38) (dual of [265, 223, 39]-code) [i]
37Linear OA(25641, 265, F256, 37) (dual of [265, 224, 38]-code) [i]
38Linear OA(25640, 265, F256, 36) (dual of [265, 225, 37]-code) [i]
39Linear OA(25639, 265, F256, 35) (dual of [265, 226, 36]-code) [i]
40Linear OA(25638, 265, F256, 34) (dual of [265, 227, 35]-code) [i]
41Linear OA(25637, 265, F256, 33) (dual of [265, 228, 34]-code) [i]
42Linear OA(25636, 265, F256, 32) (dual of [265, 229, 33]-code) [i]
43Linear OA(25635, 265, F256, 31) (dual of [265, 230, 32]-code) [i]
44Linear OA(25634, 265, F256, 30) (dual of [265, 231, 31]-code) [i]
45Linear OA(25633, 265, F256, 29) (dual of [265, 232, 30]-code) [i]
46Linear OA(25632, 265, F256, 28) (dual of [265, 233, 29]-code) [i]
47Linear OA(25631, 265, F256, 27) (dual of [265, 234, 28]-code) [i]
48Linear OA(25630, 265, F256, 26) (dual of [265, 235, 27]-code) [i]
49Linear OA(25629, 265, F256, 25) (dual of [265, 236, 26]-code) [i]
50Linear OA(25628, 265, F256, 24) (dual of [265, 237, 25]-code) [i]
51Linear OA(25627, 265, F256, 23) (dual of [265, 238, 24]-code) [i]
52Linear OA(25626, 265, F256, 22) (dual of [265, 239, 23]-code) [i]
53Linear OA(25625, 265, F256, 21) (dual of [265, 240, 22]-code) [i]
54Linear OA(25624, 265, F256, 20) (dual of [265, 241, 21]-code) [i]
55Linear OA(25623, 265, F256, 19) (dual of [265, 242, 20]-code) [i]
56Linear OA(25622, 265, F256, 18) (dual of [265, 243, 19]-code) [i]
57Linear OA(25621, 265, F256, 17) (dual of [265, 244, 18]-code) [i]
58Linear OA(25620, 265, F256, 16) (dual of [265, 245, 17]-code) [i]
59Linear OA(25619, 265, F256, 15) (dual of [265, 246, 16]-code) [i]
60Linear OA(25618, 265, F256, 14) (dual of [265, 247, 15]-code) [i]
61Linear OA(25617, 265, F256, 13) (dual of [265, 248, 14]-code) [i]
62Linear OA(25616, 265, F256, 12) (dual of [265, 249, 13]-code) [i]
63Linear OA(25615, 265, F256, 11) (dual of [265, 250, 12]-code) [i]
64Linear OA(25614, 265, F256, 10) (dual of [265, 251, 11]-code) [i]
65Linear OA(25613, 265, F256, 9) (dual of [265, 252, 10]-code) [i]
66Linear OA(25613, 265, F256, 9) (dual of [265, 252, 10]-code) [i]
67Linear OA(25612, 265, F256, 8) (dual of [265, 253, 9]-code) [i]
68Linear OA(25615, 267, F256, 10) (dual of [267, 252, 11]-code) [i]
69Linear OA(25617, 269, F256, 11) (dual of [269, 252, 12]-code) [i]
70Linear OA(25619, 271, F256, 12) (dual of [271, 252, 13]-code) [i]
71Linear OA(25665, 266, F256, 61) (dual of [266, 201, 62]-code) [i]Construction X with Algebraic-Geometric Codes
72Linear OA(25660, 266, F256, 56) (dual of [266, 206, 57]-code) [i]
73Linear OA(25655, 266, F256, 51) (dual of [266, 211, 52]-code) [i]
74Linear OA(25650, 266, F256, 46) (dual of [266, 216, 47]-code) [i]
75Linear OA(25645, 266, F256, 41) (dual of [266, 221, 42]-code) [i]
76Linear OA(25640, 266, F256, 36) (dual of [266, 226, 37]-code) [i]
77Linear OA(25635, 266, F256, 31) (dual of [266, 231, 32]-code) [i]
78Linear OA(25630, 266, F256, 26) (dual of [266, 236, 27]-code) [i]
79Linear OA(25625, 266, F256, 21) (dual of [266, 241, 22]-code) [i]
80Linear OA(25620, 266, F256, 16) (dual of [266, 246, 17]-code) [i]
81Linear OA(25615, 266, F256, 11) (dual of [266, 251, 12]-code) [i]
82Linear OA(25668, 266, F256, 64) (dual of [266, 198, 65]-code) [i]
83Linear OA(25663, 266, F256, 59) (dual of [266, 203, 60]-code) [i]
84Linear OA(25658, 266, F256, 54) (dual of [266, 208, 55]-code) [i]
85Linear OA(25653, 266, F256, 49) (dual of [266, 213, 50]-code) [i]
86Linear OA(25648, 266, F256, 44) (dual of [266, 218, 45]-code) [i]
87Linear OA(25643, 266, F256, 39) (dual of [266, 223, 40]-code) [i]
88Linear OA(25638, 266, F256, 34) (dual of [266, 228, 35]-code) [i]
89Linear OA(25633, 266, F256, 29) (dual of [266, 233, 30]-code) [i]
90Linear OA(25628, 266, F256, 24) (dual of [266, 238, 25]-code) [i]
91Linear OA(25623, 266, F256, 19) (dual of [266, 243, 20]-code) [i]
92Linear OA(25618, 266, F256, 14) (dual of [266, 248, 15]-code) [i]
93Linear OA(25613, 266, F256, 9) (dual of [266, 253, 10]-code) [i]
94Linear OA(25667, 266, F256, 63) (dual of [266, 199, 64]-code) [i]
95Linear OA(25662, 266, F256, 58) (dual of [266, 204, 59]-code) [i]
96Linear OA(25657, 266, F256, 53) (dual of [266, 209, 54]-code) [i]
97Linear OA(25652, 266, F256, 48) (dual of [266, 214, 49]-code) [i]
98Linear OA(25647, 266, F256, 43) (dual of [266, 219, 44]-code) [i]
99Linear OA(25642, 266, F256, 38) (dual of [266, 224, 39]-code) [i]
100Linear OA(25637, 266, F256, 33) (dual of [266, 229, 34]-code) [i]
101Linear OA(25632, 266, F256, 28) (dual of [266, 234, 29]-code) [i]
102Linear OA(25627, 266, F256, 23) (dual of [266, 239, 24]-code) [i]
103Linear OA(25622, 266, F256, 18) (dual of [266, 244, 19]-code) [i]
104Linear OA(25617, 266, F256, 13) (dual of [266, 249, 14]-code) [i]
105Linear OA(25612, 266, F256, 8) (dual of [266, 254, 9]-code) [i]
106Linear OA(25666, 266, F256, 62) (dual of [266, 200, 63]-code) [i]
107Linear OA(25661, 266, F256, 57) (dual of [266, 205, 58]-code) [i]
108Linear OA(25656, 266, F256, 52) (dual of [266, 210, 53]-code) [i]
109Linear OA(25651, 266, F256, 47) (dual of [266, 215, 48]-code) [i]
110Linear OA(25646, 266, F256, 42) (dual of [266, 220, 43]-code) [i]
111Linear OA(25641, 266, F256, 37) (dual of [266, 225, 38]-code) [i]
112Linear OA(25636, 266, F256, 32) (dual of [266, 230, 33]-code) [i]
113Linear OA(25631, 266, F256, 27) (dual of [266, 235, 28]-code) [i]
114Linear OA(25626, 266, F256, 22) (dual of [266, 240, 23]-code) [i]
115Linear OA(25621, 266, F256, 17) (dual of [266, 245, 18]-code) [i]
116Linear OA(25616, 266, F256, 12) (dual of [266, 250, 13]-code) [i]
117Linear OA(25664, 266, F256, 60) (dual of [266, 202, 61]-code) [i]
118Linear OA(25659, 266, F256, 55) (dual of [266, 207, 56]-code) [i]
119Linear OA(25654, 266, F256, 50) (dual of [266, 212, 51]-code) [i]
120Linear OA(25649, 266, F256, 45) (dual of [266, 217, 46]-code) [i]
121Linear OA(25644, 266, F256, 40) (dual of [266, 222, 41]-code) [i]
122Linear OA(25639, 266, F256, 35) (dual of [266, 227, 36]-code) [i]
123Linear OA(25634, 266, F256, 30) (dual of [266, 232, 31]-code) [i]
124Linear OA(25629, 266, F256, 25) (dual of [266, 237, 26]-code) [i]
125Linear OA(25624, 266, F256, 20) (dual of [266, 242, 21]-code) [i]
126Linear OA(25619, 266, F256, 15) (dual of [266, 247, 16]-code) [i]
127Linear OA(25614, 266, F256, 10) (dual of [266, 252, 11]-code) [i]
128Linear OA(25668, 329, F256, 62) (dual of [329, 261, 63]-code) [i]
129Linear OA(25667, 329, F256, 61) (dual of [329, 262, 62]-code) [i]
130Linear OA(25666, 329, F256, 60) (dual of [329, 263, 61]-code) [i]
131Linear OA(25665, 329, F256, 59) (dual of [329, 264, 60]-code) [i]
132Linear OA(25664, 329, F256, 58) (dual of [329, 265, 59]-code) [i]
133Linear OA(25663, 329, F256, 57) (dual of [329, 266, 58]-code) [i]
134Linear OA(25662, 329, F256, 56) (dual of [329, 267, 57]-code) [i]
135Linear OA(25661, 329, F256, 55) (dual of [329, 268, 56]-code) [i]
136Linear OA(25660, 329, F256, 54) (dual of [329, 269, 55]-code) [i]
137Linear OA(25659, 329, F256, 53) (dual of [329, 270, 54]-code) [i]
138Linear OA(25658, 329, F256, 52) (dual of [329, 271, 53]-code) [i]
139Linear OA(25657, 329, F256, 51) (dual of [329, 272, 52]-code) [i]
140Linear OA(25656, 329, F256, 50) (dual of [329, 273, 51]-code) [i]
141Linear OA(25655, 329, F256, 49) (dual of [329, 274, 50]-code) [i]
142Linear OA(25654, 329, F256, 48) (dual of [329, 275, 49]-code) [i]
143Linear OA(25653, 329, F256, 47) (dual of [329, 276, 48]-code) [i]
144Linear OA(25652, 329, F256, 46) (dual of [329, 277, 47]-code) [i]
145Linear OA(25651, 329, F256, 45) (dual of [329, 278, 46]-code) [i]
146Linear OA(25650, 329, F256, 44) (dual of [329, 279, 45]-code) [i]
147Linear OA(25649, 329, F256, 43) (dual of [329, 280, 44]-code) [i]
148Linear OA(25648, 329, F256, 42) (dual of [329, 281, 43]-code) [i]
149Linear OA(25647, 329, F256, 41) (dual of [329, 282, 42]-code) [i]
150Linear OA(25646, 329, F256, 40) (dual of [329, 283, 41]-code) [i]
151Linear OA(25645, 329, F256, 39) (dual of [329, 284, 40]-code) [i]
152Linear OA(25644, 329, F256, 38) (dual of [329, 285, 39]-code) [i]
153Linear OA(25643, 329, F256, 37) (dual of [329, 286, 38]-code) [i]
154Linear OA(25642, 329, F256, 36) (dual of [329, 287, 37]-code) [i]
155Linear OA(25641, 329, F256, 35) (dual of [329, 288, 36]-code) [i]
156Linear OA(25640, 329, F256, 34) (dual of [329, 289, 35]-code) [i]
157Linear OA(25639, 329, F256, 33) (dual of [329, 290, 34]-code) [i]
158Linear OA(25638, 329, F256, 32) (dual of [329, 291, 33]-code) [i]
159Linear OA(25637, 329, F256, 31) (dual of [329, 292, 32]-code) [i]
160Linear OA(25636, 329, F256, 30) (dual of [329, 293, 31]-code) [i]
161Linear OA(25635, 329, F256, 29) (dual of [329, 294, 30]-code) [i]
162Linear OA(25634, 329, F256, 28) (dual of [329, 295, 29]-code) [i]
163Linear OA(25633, 329, F256, 27) (dual of [329, 296, 28]-code) [i]
164Linear OA(25632, 329, F256, 26) (dual of [329, 297, 27]-code) [i]
165Linear OA(25631, 329, F256, 25) (dual of [329, 298, 26]-code) [i]
166Linear OA(25630, 329, F256, 24) (dual of [329, 299, 25]-code) [i]
167Linear OA(25629, 329, F256, 23) (dual of [329, 300, 24]-code) [i]
168Linear OA(25628, 329, F256, 22) (dual of [329, 301, 23]-code) [i]
169Linear OA(25627, 329, F256, 21) (dual of [329, 302, 22]-code) [i]
170Linear OA(25626, 329, F256, 20) (dual of [329, 303, 21]-code) [i]
171Linear OA(25625, 329, F256, 19) (dual of [329, 304, 20]-code) [i]
172Linear OA(25624, 329, F256, 18) (dual of [329, 305, 19]-code) [i]
173Linear OA(25623, 329, F256, 17) (dual of [329, 306, 18]-code) [i]
174Linear OA(25622, 329, F256, 16) (dual of [329, 307, 17]-code) [i]
175Linear OA(25621, 329, F256, 15) (dual of [329, 308, 16]-code) [i]
176Linear OA(25620, 329, F256, 14) (dual of [329, 309, 15]-code) [i]
177Linear OA(25668, 521, F256, 56) (dual of [521, 453, 57]-code) [i]
178Linear OA(25667, 521, F256, 55) (dual of [521, 454, 56]-code) [i]
179Linear OA(25666, 521, F256, 54) (dual of [521, 455, 55]-code) [i]
180Linear OA(25665, 521, F256, 53) (dual of [521, 456, 54]-code) [i]
181Linear OA(25664, 521, F256, 52) (dual of [521, 457, 53]-code) [i]
182Linear OA(25663, 521, F256, 51) (dual of [521, 458, 52]-code) [i]
183Linear OA(25662, 521, F256, 50) (dual of [521, 459, 51]-code) [i]
184Linear OA(25661, 521, F256, 49) (dual of [521, 460, 50]-code) [i]
185Linear OA(25660, 521, F256, 48) (dual of [521, 461, 49]-code) [i]
186Linear OA(25659, 521, F256, 47) (dual of [521, 462, 48]-code) [i]
187Linear OA(25658, 521, F256, 46) (dual of [521, 463, 47]-code) [i]
188Linear OA(25657, 521, F256, 45) (dual of [521, 464, 46]-code) [i]
189Linear OA(25656, 521, F256, 44) (dual of [521, 465, 45]-code) [i]
190Linear OA(25655, 521, F256, 43) (dual of [521, 466, 44]-code) [i]
191Linear OA(25654, 521, F256, 42) (dual of [521, 467, 43]-code) [i]
192Linear OA(25653, 521, F256, 41) (dual of [521, 468, 42]-code) [i]
193Linear OA(25652, 521, F256, 40) (dual of [521, 469, 41]-code) [i]
194Linear OA(25651, 521, F256, 39) (dual of [521, 470, 40]-code) [i]
195Linear OA(25650, 521, F256, 38) (dual of [521, 471, 39]-code) [i]
196Linear OA(25649, 521, F256, 37) (dual of [521, 472, 38]-code) [i]
197Linear OA(25648, 521, F256, 36) (dual of [521, 473, 37]-code) [i]
198Linear OA(25647, 521, F256, 35) (dual of [521, 474, 36]-code) [i]
199Linear OA(25646, 521, F256, 34) (dual of [521, 475, 35]-code) [i]
200Linear OA(25645, 521, F256, 33) (dual of [521, 476, 34]-code) [i]
201Linear OA(25644, 521, F256, 32) (dual of [521, 477, 33]-code) [i]
202Linear OA(25643, 521, F256, 31) (dual of [521, 478, 32]-code) [i]
203Linear OA(25642, 521, F256, 30) (dual of [521, 479, 31]-code) [i]
204Linear OA(25641, 521, F256, 29) (dual of [521, 480, 30]-code) [i]
205Linear OA(25640, 521, F256, 28) (dual of [521, 481, 29]-code) [i]
206Linear OA(25639, 521, F256, 27) (dual of [521, 482, 28]-code) [i]
207Linear OA(25638, 521, F256, 26) (dual of [521, 483, 27]-code) [i]
208Linear OA(25637, 521, F256, 25) (dual of [521, 484, 26]-code) [i]
209Linear OA(25636, 521, F256, 24) (dual of [521, 485, 25]-code) [i]
210Linear OA(25635, 521, F256, 23) (dual of [521, 486, 24]-code) [i]
211Linear OA(25634, 521, F256, 22) (dual of [521, 487, 23]-code) [i]
212Linear OA(25633, 521, F256, 21) (dual of [521, 488, 22]-code) [i]
213Linear OA(25632, 521, F256, 20) (dual of [521, 489, 21]-code) [i]
214Linear OA(25668, 1033, F256, 40) (dual of [1033, 965, 41]-code) [i]
215Linear OA(25637, 65548, F256, 14) (dual of [65548, 65511, 15]-code) [i](u, u−v, u+v+w)-Construction
216Linear OA(25660, 783, F256, 34) (dual of [783, 723, 35]-code) [i]Construction X with Cyclic Codes
217Linear OA(25662, 783, F256, 35) (dual of [783, 721, 36]-code) [i]
218Linear OA(25665, 783, F256, 37) (dual of [783, 718, 38]-code) [i]
219Linear OA(25667, 783, F256, 38) (dual of [783, 716, 39]-code) [i]
220Linear OA(25667, 65550, F256, 32) (dual of [65550, 65483, 33]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
221Linear OA(25665, 65550, F256, 31) (dual of [65550, 65485, 32]-code) [i]
222Linear OA(25663, 65550, F256, 30) (dual of [65550, 65487, 31]-code) [i]
223Linear OA(25661, 65550, F256, 29) (dual of [65550, 65489, 30]-code) [i]
224Linear OA(25659, 65550, F256, 28) (dual of [65550, 65491, 29]-code) [i]
225Linear OA(25657, 65550, F256, 27) (dual of [65550, 65493, 28]-code) [i]
226Linear OA(25655, 65550, F256, 26) (dual of [65550, 65495, 27]-code) [i]
227Linear OA(25653, 65550, F256, 25) (dual of [65550, 65497, 26]-code) [i]
228Linear OA(25651, 65550, F256, 24) (dual of [65550, 65499, 25]-code) [i]
229Linear OA(25649, 65550, F256, 23) (dual of [65550, 65501, 24]-code) [i]
230Linear OA(25647, 65550, F256, 22) (dual of [65550, 65503, 23]-code) [i]
231Linear OA(25645, 65550, F256, 21) (dual of [65550, 65505, 22]-code) [i]
232Linear OA(25643, 65550, F256, 20) (dual of [65550, 65507, 21]-code) [i]
233Linear OA(25641, 65550, F256, 19) (dual of [65550, 65509, 20]-code) [i]
234Linear OA(25639, 65550, F256, 18) (dual of [65550, 65511, 19]-code) [i]
235Linear OA(25637, 65550, F256, 17) (dual of [65550, 65513, 18]-code) [i]
236Linear OA(25635, 65550, F256, 16) (dual of [65550, 65515, 17]-code) [i]
237Linear OA(25633, 65550, F256, 15) (dual of [65550, 65517, 16]-code) [i]
238Linear OA(25631, 65550, F256, 14) (dual of [65550, 65519, 15]-code) [i]
239Linear OA(25629, 65550, F256, 13) (dual of [65550, 65521, 14]-code) [i]
240Linear OA(25627, 65550, F256, 12) (dual of [65550, 65523, 13]-code) [i]
241Linear OA(25625, 65550, F256, 11) (dual of [65550, 65525, 12]-code) [i]
242Linear OA(25623, 65550, F256, 10) (dual of [65550, 65527, 11]-code) [i]