Information on Result #606728

Linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using Reed–Solomon code RS(251,256)

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(25664, 65558, F256, 23) (dual of [65558, 65494, 24]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(25665, 65561, F256, 23) (dual of [65561, 65496, 24]-code) [i]
3Linear OA(25666, 65564, F256, 23) (dual of [65564, 65498, 24]-code) [i]
4Linear OA(25662, 65557, F256, 22) (dual of [65557, 65495, 23]-code) [i]
5Linear OA(25663, 65560, F256, 22) (dual of [65560, 65497, 23]-code) [i]
6Linear OA(25660, 65558, F256, 21) (dual of [65558, 65498, 22]-code) [i]
7Linear OA(25657, 65557, F256, 20) (dual of [65557, 65500, 21]-code) [i]
8Linear OA(2568, 259, F256, 7) (dual of [259, 251, 8]-code) [i]Construction X with Reed–Solomon Codes
9Linear OA(25610, 261, F256, 8) (dual of [261, 251, 9]-code) [i]
10Linear OA(25612, 263, F256, 9) (dual of [263, 251, 10]-code) [i]
11Linear OA(25614, 265, F256, 10) (dual of [265, 251, 11]-code) [i]
12Linear OA(25668, 267, F256, 63) (dual of [267, 199, 64]-code) [i]
13Linear OA(25667, 267, F256, 62) (dual of [267, 200, 63]-code) [i]
14Linear OA(25666, 267, F256, 61) (dual of [267, 201, 62]-code) [i]
15Linear OA(25665, 267, F256, 60) (dual of [267, 202, 61]-code) [i]
16Linear OA(25664, 267, F256, 59) (dual of [267, 203, 60]-code) [i]
17Linear OA(25663, 267, F256, 58) (dual of [267, 204, 59]-code) [i]
18Linear OA(25662, 267, F256, 57) (dual of [267, 205, 58]-code) [i]
19Linear OA(25661, 267, F256, 56) (dual of [267, 206, 57]-code) [i]
20Linear OA(25660, 267, F256, 55) (dual of [267, 207, 56]-code) [i]
21Linear OA(25659, 267, F256, 54) (dual of [267, 208, 55]-code) [i]
22Linear OA(25658, 267, F256, 53) (dual of [267, 209, 54]-code) [i]
23Linear OA(25657, 267, F256, 52) (dual of [267, 210, 53]-code) [i]
24Linear OA(25656, 267, F256, 51) (dual of [267, 211, 52]-code) [i]
25Linear OA(25655, 267, F256, 50) (dual of [267, 212, 51]-code) [i]
26Linear OA(25654, 267, F256, 49) (dual of [267, 213, 50]-code) [i]
27Linear OA(25653, 267, F256, 48) (dual of [267, 214, 49]-code) [i]
28Linear OA(25652, 267, F256, 47) (dual of [267, 215, 48]-code) [i]
29Linear OA(25651, 267, F256, 46) (dual of [267, 216, 47]-code) [i]
30Linear OA(25650, 267, F256, 45) (dual of [267, 217, 46]-code) [i]
31Linear OA(25649, 267, F256, 44) (dual of [267, 218, 45]-code) [i]
32Linear OA(25648, 267, F256, 43) (dual of [267, 219, 44]-code) [i]
33Linear OA(25647, 267, F256, 42) (dual of [267, 220, 43]-code) [i]
34Linear OA(25646, 267, F256, 41) (dual of [267, 221, 42]-code) [i]
35Linear OA(25645, 267, F256, 40) (dual of [267, 222, 41]-code) [i]
36Linear OA(25644, 267, F256, 39) (dual of [267, 223, 40]-code) [i]
37Linear OA(25643, 267, F256, 38) (dual of [267, 224, 39]-code) [i]
38Linear OA(25642, 267, F256, 37) (dual of [267, 225, 38]-code) [i]
39Linear OA(25641, 267, F256, 36) (dual of [267, 226, 37]-code) [i]
40Linear OA(25640, 267, F256, 35) (dual of [267, 227, 36]-code) [i]
41Linear OA(25639, 267, F256, 34) (dual of [267, 228, 35]-code) [i]
42Linear OA(25638, 267, F256, 33) (dual of [267, 229, 34]-code) [i]
43Linear OA(25637, 267, F256, 32) (dual of [267, 230, 33]-code) [i]
44Linear OA(25636, 267, F256, 31) (dual of [267, 231, 32]-code) [i]
45Linear OA(25635, 267, F256, 30) (dual of [267, 232, 31]-code) [i]
46Linear OA(25634, 267, F256, 29) (dual of [267, 233, 30]-code) [i]
47Linear OA(25633, 267, F256, 28) (dual of [267, 234, 29]-code) [i]
48Linear OA(25632, 267, F256, 27) (dual of [267, 235, 28]-code) [i]
49Linear OA(25631, 267, F256, 26) (dual of [267, 236, 27]-code) [i]
50Linear OA(25630, 267, F256, 25) (dual of [267, 237, 26]-code) [i]
51Linear OA(25629, 267, F256, 24) (dual of [267, 238, 25]-code) [i]
52Linear OA(25628, 267, F256, 23) (dual of [267, 239, 24]-code) [i]
53Linear OA(25627, 267, F256, 22) (dual of [267, 240, 23]-code) [i]
54Linear OA(25626, 267, F256, 21) (dual of [267, 241, 22]-code) [i]
55Linear OA(25625, 267, F256, 20) (dual of [267, 242, 21]-code) [i]
56Linear OA(25624, 267, F256, 19) (dual of [267, 243, 20]-code) [i]
57Linear OA(25623, 267, F256, 18) (dual of [267, 244, 19]-code) [i]
58Linear OA(25622, 267, F256, 17) (dual of [267, 245, 18]-code) [i]
59Linear OA(25621, 267, F256, 16) (dual of [267, 246, 17]-code) [i]
60Linear OA(25620, 267, F256, 15) (dual of [267, 247, 16]-code) [i]
61Linear OA(25619, 267, F256, 14) (dual of [267, 248, 15]-code) [i]
62Linear OA(25618, 267, F256, 13) (dual of [267, 249, 14]-code) [i]
63Linear OA(25617, 267, F256, 12) (dual of [267, 250, 13]-code) [i]
64Linear OA(25616, 267, F256, 11) (dual of [267, 251, 12]-code) [i]
65Linear OA(25616, 267, F256, 11) (dual of [267, 251, 12]-code) [i]
66Linear OA(25615, 267, F256, 10) (dual of [267, 252, 11]-code) [i]
67Linear OA(25614, 267, F256, 9) (dual of [267, 253, 10]-code) [i]
68Linear OA(25618, 269, F256, 12) (dual of [269, 251, 13]-code) [i]
69Linear OA(25620, 271, F256, 13) (dual of [271, 251, 14]-code) [i]
70Linear OA(25622, 273, F256, 14) (dual of [273, 251, 15]-code) [i]
71Linear OA(25624, 275, F256, 15) (dual of [275, 251, 16]-code) [i]
72Linear OA(25667, 268, F256, 62) (dual of [268, 201, 63]-code) [i]Construction X with Algebraic-Geometric Codes
73Linear OA(25665, 268, F256, 60) (dual of [268, 203, 61]-code) [i]
74Linear OA(25663, 268, F256, 58) (dual of [268, 205, 59]-code) [i]
75Linear OA(25661, 268, F256, 56) (dual of [268, 207, 57]-code) [i]
76Linear OA(25659, 268, F256, 54) (dual of [268, 209, 55]-code) [i]
77Linear OA(25657, 268, F256, 52) (dual of [268, 211, 53]-code) [i]
78Linear OA(25655, 268, F256, 50) (dual of [268, 213, 51]-code) [i]
79Linear OA(25653, 268, F256, 48) (dual of [268, 215, 49]-code) [i]
80Linear OA(25651, 268, F256, 46) (dual of [268, 217, 47]-code) [i]
81Linear OA(25649, 268, F256, 44) (dual of [268, 219, 45]-code) [i]
82Linear OA(25647, 268, F256, 42) (dual of [268, 221, 43]-code) [i]
83Linear OA(25645, 268, F256, 40) (dual of [268, 223, 41]-code) [i]
84Linear OA(25643, 268, F256, 38) (dual of [268, 225, 39]-code) [i]
85Linear OA(25641, 268, F256, 36) (dual of [268, 227, 37]-code) [i]
86Linear OA(25639, 268, F256, 34) (dual of [268, 229, 35]-code) [i]
87Linear OA(25637, 268, F256, 32) (dual of [268, 231, 33]-code) [i]
88Linear OA(25635, 268, F256, 30) (dual of [268, 233, 31]-code) [i]
89Linear OA(25633, 268, F256, 28) (dual of [268, 235, 29]-code) [i]
90Linear OA(25631, 268, F256, 26) (dual of [268, 237, 27]-code) [i]
91Linear OA(25629, 268, F256, 24) (dual of [268, 239, 25]-code) [i]
92Linear OA(25627, 268, F256, 22) (dual of [268, 241, 23]-code) [i]
93Linear OA(25625, 268, F256, 20) (dual of [268, 243, 21]-code) [i]
94Linear OA(25623, 268, F256, 18) (dual of [268, 245, 19]-code) [i]
95Linear OA(25621, 268, F256, 16) (dual of [268, 247, 17]-code) [i]
96Linear OA(25619, 268, F256, 14) (dual of [268, 249, 15]-code) [i]
97Linear OA(25617, 268, F256, 12) (dual of [268, 251, 13]-code) [i]
98Linear OA(25615, 268, F256, 10) (dual of [268, 253, 11]-code) [i]
99Linear OA(25668, 268, F256, 63) (dual of [268, 200, 64]-code) [i]
100Linear OA(25666, 268, F256, 61) (dual of [268, 202, 62]-code) [i]
101Linear OA(25664, 268, F256, 59) (dual of [268, 204, 60]-code) [i]
102Linear OA(25662, 268, F256, 57) (dual of [268, 206, 58]-code) [i]
103Linear OA(25660, 268, F256, 55) (dual of [268, 208, 56]-code) [i]
104Linear OA(25658, 268, F256, 53) (dual of [268, 210, 54]-code) [i]
105Linear OA(25656, 268, F256, 51) (dual of [268, 212, 52]-code) [i]
106Linear OA(25654, 268, F256, 49) (dual of [268, 214, 50]-code) [i]
107Linear OA(25652, 268, F256, 47) (dual of [268, 216, 48]-code) [i]
108Linear OA(25650, 268, F256, 45) (dual of [268, 218, 46]-code) [i]
109Linear OA(25648, 268, F256, 43) (dual of [268, 220, 44]-code) [i]
110Linear OA(25646, 268, F256, 41) (dual of [268, 222, 42]-code) [i]
111Linear OA(25644, 268, F256, 39) (dual of [268, 224, 40]-code) [i]
112Linear OA(25642, 268, F256, 37) (dual of [268, 226, 38]-code) [i]
113Linear OA(25640, 268, F256, 35) (dual of [268, 228, 36]-code) [i]
114Linear OA(25638, 268, F256, 33) (dual of [268, 230, 34]-code) [i]
115Linear OA(25636, 268, F256, 31) (dual of [268, 232, 32]-code) [i]
116Linear OA(25634, 268, F256, 29) (dual of [268, 234, 30]-code) [i]
117Linear OA(25632, 268, F256, 27) (dual of [268, 236, 28]-code) [i]
118Linear OA(25630, 268, F256, 25) (dual of [268, 238, 26]-code) [i]
119Linear OA(25628, 268, F256, 23) (dual of [268, 240, 24]-code) [i]
120Linear OA(25626, 268, F256, 21) (dual of [268, 242, 22]-code) [i]
121Linear OA(25624, 268, F256, 19) (dual of [268, 244, 20]-code) [i]
122Linear OA(25622, 268, F256, 17) (dual of [268, 246, 18]-code) [i]
123Linear OA(25620, 268, F256, 15) (dual of [268, 248, 16]-code) [i]
124Linear OA(25618, 268, F256, 13) (dual of [268, 250, 14]-code) [i]
125Linear OA(25616, 268, F256, 11) (dual of [268, 252, 12]-code) [i]
126Linear OA(25614, 268, F256, 9) (dual of [268, 254, 10]-code) [i]
127Linear OA(25668, 331, F256, 61) (dual of [331, 263, 62]-code) [i]
128Linear OA(25667, 331, F256, 60) (dual of [331, 264, 61]-code) [i]
129Linear OA(25666, 331, F256, 59) (dual of [331, 265, 60]-code) [i]
130Linear OA(25665, 331, F256, 58) (dual of [331, 266, 59]-code) [i]
131Linear OA(25664, 331, F256, 57) (dual of [331, 267, 58]-code) [i]
132Linear OA(25663, 331, F256, 56) (dual of [331, 268, 57]-code) [i]
133Linear OA(25662, 331, F256, 55) (dual of [331, 269, 56]-code) [i]
134Linear OA(25661, 331, F256, 54) (dual of [331, 270, 55]-code) [i]
135Linear OA(25660, 331, F256, 53) (dual of [331, 271, 54]-code) [i]
136Linear OA(25659, 331, F256, 52) (dual of [331, 272, 53]-code) [i]
137Linear OA(25658, 331, F256, 51) (dual of [331, 273, 52]-code) [i]
138Linear OA(25657, 331, F256, 50) (dual of [331, 274, 51]-code) [i]
139Linear OA(25656, 331, F256, 49) (dual of [331, 275, 50]-code) [i]
140Linear OA(25655, 331, F256, 48) (dual of [331, 276, 49]-code) [i]
141Linear OA(25654, 331, F256, 47) (dual of [331, 277, 48]-code) [i]
142Linear OA(25653, 331, F256, 46) (dual of [331, 278, 47]-code) [i]
143Linear OA(25652, 331, F256, 45) (dual of [331, 279, 46]-code) [i]
144Linear OA(25651, 331, F256, 44) (dual of [331, 280, 45]-code) [i]
145Linear OA(25650, 331, F256, 43) (dual of [331, 281, 44]-code) [i]
146Linear OA(25649, 331, F256, 42) (dual of [331, 282, 43]-code) [i]
147Linear OA(25648, 331, F256, 41) (dual of [331, 283, 42]-code) [i]
148Linear OA(25647, 331, F256, 40) (dual of [331, 284, 41]-code) [i]
149Linear OA(25646, 331, F256, 39) (dual of [331, 285, 40]-code) [i]
150Linear OA(25645, 331, F256, 38) (dual of [331, 286, 39]-code) [i]
151Linear OA(25644, 331, F256, 37) (dual of [331, 287, 38]-code) [i]
152Linear OA(25643, 331, F256, 36) (dual of [331, 288, 37]-code) [i]
153Linear OA(25642, 331, F256, 35) (dual of [331, 289, 36]-code) [i]
154Linear OA(25641, 331, F256, 34) (dual of [331, 290, 35]-code) [i]
155Linear OA(25640, 331, F256, 33) (dual of [331, 291, 34]-code) [i]
156Linear OA(25639, 331, F256, 32) (dual of [331, 292, 33]-code) [i]
157Linear OA(25638, 331, F256, 31) (dual of [331, 293, 32]-code) [i]
158Linear OA(25637, 331, F256, 30) (dual of [331, 294, 31]-code) [i]
159Linear OA(25636, 331, F256, 29) (dual of [331, 295, 30]-code) [i]
160Linear OA(25635, 331, F256, 28) (dual of [331, 296, 29]-code) [i]
161Linear OA(25634, 331, F256, 27) (dual of [331, 297, 28]-code) [i]
162Linear OA(25633, 331, F256, 26) (dual of [331, 298, 27]-code) [i]
163Linear OA(25632, 331, F256, 25) (dual of [331, 299, 26]-code) [i]
164Linear OA(25631, 331, F256, 24) (dual of [331, 300, 25]-code) [i]
165Linear OA(25630, 331, F256, 23) (dual of [331, 301, 24]-code) [i]
166Linear OA(25629, 331, F256, 22) (dual of [331, 302, 23]-code) [i]
167Linear OA(25628, 331, F256, 21) (dual of [331, 303, 22]-code) [i]
168Linear OA(25627, 331, F256, 20) (dual of [331, 304, 21]-code) [i]
169Linear OA(25626, 331, F256, 19) (dual of [331, 305, 20]-code) [i]
170Linear OA(25625, 331, F256, 18) (dual of [331, 306, 19]-code) [i]
171Linear OA(25624, 331, F256, 17) (dual of [331, 307, 18]-code) [i]
172Linear OA(25623, 331, F256, 16) (dual of [331, 308, 17]-code) [i]
173Linear OA(25668, 523, F256, 55) (dual of [523, 455, 56]-code) [i]
174Linear OA(25667, 523, F256, 54) (dual of [523, 456, 55]-code) [i]
175Linear OA(25666, 523, F256, 53) (dual of [523, 457, 54]-code) [i]
176Linear OA(25665, 523, F256, 52) (dual of [523, 458, 53]-code) [i]
177Linear OA(25664, 523, F256, 51) (dual of [523, 459, 52]-code) [i]
178Linear OA(25663, 523, F256, 50) (dual of [523, 460, 51]-code) [i]
179Linear OA(25662, 523, F256, 49) (dual of [523, 461, 50]-code) [i]
180Linear OA(25661, 523, F256, 48) (dual of [523, 462, 49]-code) [i]
181Linear OA(25660, 523, F256, 47) (dual of [523, 463, 48]-code) [i]
182Linear OA(25659, 523, F256, 46) (dual of [523, 464, 47]-code) [i]
183Linear OA(25658, 523, F256, 45) (dual of [523, 465, 46]-code) [i]
184Linear OA(25657, 523, F256, 44) (dual of [523, 466, 45]-code) [i]
185Linear OA(25656, 523, F256, 43) (dual of [523, 467, 44]-code) [i]
186Linear OA(25655, 523, F256, 42) (dual of [523, 468, 43]-code) [i]
187Linear OA(25654, 523, F256, 41) (dual of [523, 469, 42]-code) [i]
188Linear OA(25653, 523, F256, 40) (dual of [523, 470, 41]-code) [i]
189Linear OA(25652, 523, F256, 39) (dual of [523, 471, 40]-code) [i]
190Linear OA(25651, 523, F256, 38) (dual of [523, 472, 39]-code) [i]
191Linear OA(25650, 523, F256, 37) (dual of [523, 473, 38]-code) [i]
192Linear OA(25649, 523, F256, 36) (dual of [523, 474, 37]-code) [i]
193Linear OA(25648, 523, F256, 35) (dual of [523, 475, 36]-code) [i]
194Linear OA(25647, 523, F256, 34) (dual of [523, 476, 35]-code) [i]
195Linear OA(25646, 523, F256, 33) (dual of [523, 477, 34]-code) [i]
196Linear OA(25645, 523, F256, 32) (dual of [523, 478, 33]-code) [i]
197Linear OA(25644, 523, F256, 31) (dual of [523, 479, 32]-code) [i]
198Linear OA(25643, 523, F256, 30) (dual of [523, 480, 31]-code) [i]
199Linear OA(25642, 523, F256, 29) (dual of [523, 481, 30]-code) [i]
200Linear OA(25641, 523, F256, 28) (dual of [523, 482, 29]-code) [i]
201Linear OA(25640, 523, F256, 27) (dual of [523, 483, 28]-code) [i]
202Linear OA(25639, 523, F256, 26) (dual of [523, 484, 27]-code) [i]
203Linear OA(25638, 523, F256, 25) (dual of [523, 485, 26]-code) [i]
204Linear OA(25637, 523, F256, 24) (dual of [523, 486, 25]-code) [i]
205Linear OA(25636, 523, F256, 23) (dual of [523, 487, 24]-code) [i]
206Linear OA(25635, 523, F256, 22) (dual of [523, 488, 23]-code) [i]
207Linear OA(25634, 523, F256, 21) (dual of [523, 489, 22]-code) [i]
208Linear OA(25645, 65551, F256, 17) (dual of [65551, 65506, 18]-code) [i](u, u−v, u+v+w)-Construction
209Linear OA(25643, 65550, F256, 16) (dual of [65550, 65507, 17]-code) [i]
210Linear OA(25666, 65554, F256, 31) (dual of [65554, 65488, 32]-code) [i]Construction X with Cyclic Codes
211Linear OA(25662, 65554, F256, 29) (dual of [65554, 65492, 30]-code) [i]
212Linear OA(25658, 65554, F256, 27) (dual of [65554, 65496, 28]-code) [i]
213Linear OA(25654, 65554, F256, 25) (dual of [65554, 65500, 26]-code) [i]
214Linear OA(25650, 65554, F256, 23) (dual of [65554, 65504, 24]-code) [i]
215Linear OA(25646, 65554, F256, 21) (dual of [65554, 65508, 22]-code) [i]
216Linear OA(25642, 65554, F256, 19) (dual of [65554, 65512, 20]-code) [i]
217Linear OA(25638, 65554, F256, 17) (dual of [65554, 65516, 18]-code) [i]
218Linear OA(25634, 65554, F256, 15) (dual of [65554, 65520, 16]-code) [i]
219Linear OA(25630, 65554, F256, 13) (dual of [65554, 65524, 14]-code) [i]
220Linear OA(25668, 65553, F256, 32) (dual of [65553, 65485, 33]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
221Linear OA(25664, 65553, F256, 30) (dual of [65553, 65489, 31]-code) [i]
222Linear OA(25660, 65553, F256, 28) (dual of [65553, 65493, 29]-code) [i]
223Linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code) [i]
224Linear OA(25652, 65553, F256, 24) (dual of [65553, 65501, 25]-code) [i]
225Linear OA(25648, 65553, F256, 22) (dual of [65553, 65505, 23]-code) [i]
226Linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code) [i]
227Linear OA(25640, 65553, F256, 18) (dual of [65553, 65513, 19]-code) [i]
228Linear OA(25636, 65553, F256, 16) (dual of [65553, 65517, 17]-code) [i]
229Linear OA(25632, 65553, F256, 14) (dual of [65553, 65521, 15]-code) [i]
230Linear OA(25628, 65553, F256, 12) (dual of [65553, 65525, 13]-code) [i]