Information on Result #606730
Linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using Reed–Solomon code RS(249,256)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25666, 65564, F256, 23) (dual of [65564, 65498, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(25610, 259, F256, 9) (dual of [259, 249, 10]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 3 | Linear OA(2568, 259, F256, 7) (dual of [259, 251, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(25612, 261, F256, 10) (dual of [261, 249, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(2569, 261, F256, 7) (dual of [261, 252, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(25614, 263, F256, 11) (dual of [263, 249, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(25610, 263, F256, 7) (dual of [263, 253, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(25616, 265, F256, 12) (dual of [265, 249, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(25618, 267, F256, 13) (dual of [267, 249, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(25620, 269, F256, 14) (dual of [269, 249, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(25668, 271, F256, 61) (dual of [271, 203, 62]-code) | [i] | ||
| 12 | Linear OA(25667, 271, F256, 60) (dual of [271, 204, 61]-code) | [i] | ||
| 13 | Linear OA(25666, 271, F256, 59) (dual of [271, 205, 60]-code) | [i] | ||
| 14 | Linear OA(25665, 271, F256, 58) (dual of [271, 206, 59]-code) | [i] | ||
| 15 | Linear OA(25664, 271, F256, 57) (dual of [271, 207, 58]-code) | [i] | ||
| 16 | Linear OA(25663, 271, F256, 56) (dual of [271, 208, 57]-code) | [i] | ||
| 17 | Linear OA(25662, 271, F256, 55) (dual of [271, 209, 56]-code) | [i] | ||
| 18 | Linear OA(25661, 271, F256, 54) (dual of [271, 210, 55]-code) | [i] | ||
| 19 | Linear OA(25660, 271, F256, 53) (dual of [271, 211, 54]-code) | [i] | ||
| 20 | Linear OA(25659, 271, F256, 52) (dual of [271, 212, 53]-code) | [i] | ||
| 21 | Linear OA(25658, 271, F256, 51) (dual of [271, 213, 52]-code) | [i] | ||
| 22 | Linear OA(25657, 271, F256, 50) (dual of [271, 214, 51]-code) | [i] | ||
| 23 | Linear OA(25656, 271, F256, 49) (dual of [271, 215, 50]-code) | [i] | ||
| 24 | Linear OA(25655, 271, F256, 48) (dual of [271, 216, 49]-code) | [i] | ||
| 25 | Linear OA(25654, 271, F256, 47) (dual of [271, 217, 48]-code) | [i] | ||
| 26 | Linear OA(25653, 271, F256, 46) (dual of [271, 218, 47]-code) | [i] | ||
| 27 | Linear OA(25652, 271, F256, 45) (dual of [271, 219, 46]-code) | [i] | ||
| 28 | Linear OA(25651, 271, F256, 44) (dual of [271, 220, 45]-code) | [i] | ||
| 29 | Linear OA(25650, 271, F256, 43) (dual of [271, 221, 44]-code) | [i] | ||
| 30 | Linear OA(25649, 271, F256, 42) (dual of [271, 222, 43]-code) | [i] | ||
| 31 | Linear OA(25648, 271, F256, 41) (dual of [271, 223, 42]-code) | [i] | ||
| 32 | Linear OA(25647, 271, F256, 40) (dual of [271, 224, 41]-code) | [i] | ||
| 33 | Linear OA(25646, 271, F256, 39) (dual of [271, 225, 40]-code) | [i] | ||
| 34 | Linear OA(25645, 271, F256, 38) (dual of [271, 226, 39]-code) | [i] | ||
| 35 | Linear OA(25644, 271, F256, 37) (dual of [271, 227, 38]-code) | [i] | ||
| 36 | Linear OA(25643, 271, F256, 36) (dual of [271, 228, 37]-code) | [i] | ||
| 37 | Linear OA(25642, 271, F256, 35) (dual of [271, 229, 36]-code) | [i] | ||
| 38 | Linear OA(25641, 271, F256, 34) (dual of [271, 230, 35]-code) | [i] | ||
| 39 | Linear OA(25640, 271, F256, 33) (dual of [271, 231, 34]-code) | [i] | ||
| 40 | Linear OA(25639, 271, F256, 32) (dual of [271, 232, 33]-code) | [i] | ||
| 41 | Linear OA(25638, 271, F256, 31) (dual of [271, 233, 32]-code) | [i] | ||
| 42 | Linear OA(25637, 271, F256, 30) (dual of [271, 234, 31]-code) | [i] | ||
| 43 | Linear OA(25636, 271, F256, 29) (dual of [271, 235, 30]-code) | [i] | ||
| 44 | Linear OA(25635, 271, F256, 28) (dual of [271, 236, 29]-code) | [i] | ||
| 45 | Linear OA(25634, 271, F256, 27) (dual of [271, 237, 28]-code) | [i] | ||
| 46 | Linear OA(25633, 271, F256, 26) (dual of [271, 238, 27]-code) | [i] | ||
| 47 | Linear OA(25632, 271, F256, 25) (dual of [271, 239, 26]-code) | [i] | ||
| 48 | Linear OA(25631, 271, F256, 24) (dual of [271, 240, 25]-code) | [i] | ||
| 49 | Linear OA(25630, 271, F256, 23) (dual of [271, 241, 24]-code) | [i] | ||
| 50 | Linear OA(25629, 271, F256, 22) (dual of [271, 242, 23]-code) | [i] | ||
| 51 | Linear OA(25628, 271, F256, 21) (dual of [271, 243, 22]-code) | [i] | ||
| 52 | Linear OA(25627, 271, F256, 20) (dual of [271, 244, 21]-code) | [i] | ||
| 53 | Linear OA(25626, 271, F256, 19) (dual of [271, 245, 20]-code) | [i] | ||
| 54 | Linear OA(25625, 271, F256, 18) (dual of [271, 246, 19]-code) | [i] | ||
| 55 | Linear OA(25624, 271, F256, 17) (dual of [271, 247, 18]-code) | [i] | ||
| 56 | Linear OA(25623, 271, F256, 16) (dual of [271, 248, 17]-code) | [i] | ||
| 57 | Linear OA(25622, 271, F256, 15) (dual of [271, 249, 16]-code) | [i] | ✔ | |
| 58 | Linear OA(25622, 271, F256, 15) (dual of [271, 249, 16]-code) | [i] | ||
| 59 | Linear OA(25621, 271, F256, 14) (dual of [271, 250, 15]-code) | [i] | ||
| 60 | Linear OA(25620, 271, F256, 13) (dual of [271, 251, 14]-code) | [i] | ||
| 61 | Linear OA(25619, 271, F256, 12) (dual of [271, 252, 13]-code) | [i] | ||
| 62 | Linear OA(25624, 273, F256, 16) (dual of [273, 249, 17]-code) | [i] | ✔ | |
| 63 | Linear OA(25626, 275, F256, 17) (dual of [275, 249, 18]-code) | [i] | ✔ | |
| 64 | Linear OA(25628, 277, F256, 18) (dual of [277, 249, 19]-code) | [i] | ✔ | |
| 65 | Linear OA(25630, 279, F256, 19) (dual of [279, 249, 20]-code) | [i] | ✔ | |
| 66 | Linear OA(25632, 281, F256, 20) (dual of [281, 249, 21]-code) | [i] | ✔ | |
| 67 | Linear OA(25634, 283, F256, 21) (dual of [283, 249, 22]-code) | [i] | ✔ | |
| 68 | Linear OA(25667, 272, F256, 60) (dual of [272, 205, 61]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 69 | Linear OA(25665, 272, F256, 58) (dual of [272, 207, 59]-code) | [i] | ||
| 70 | Linear OA(25663, 272, F256, 56) (dual of [272, 209, 57]-code) | [i] | ||
| 71 | Linear OA(25661, 272, F256, 54) (dual of [272, 211, 55]-code) | [i] | ||
| 72 | Linear OA(25659, 272, F256, 52) (dual of [272, 213, 53]-code) | [i] | ||
| 73 | Linear OA(25657, 272, F256, 50) (dual of [272, 215, 51]-code) | [i] | ||
| 74 | Linear OA(25655, 272, F256, 48) (dual of [272, 217, 49]-code) | [i] | ||
| 75 | Linear OA(25653, 272, F256, 46) (dual of [272, 219, 47]-code) | [i] | ||
| 76 | Linear OA(25651, 272, F256, 44) (dual of [272, 221, 45]-code) | [i] | ||
| 77 | Linear OA(25649, 272, F256, 42) (dual of [272, 223, 43]-code) | [i] | ||
| 78 | Linear OA(25647, 272, F256, 40) (dual of [272, 225, 41]-code) | [i] | ||
| 79 | Linear OA(25645, 272, F256, 38) (dual of [272, 227, 39]-code) | [i] | ||
| 80 | Linear OA(25643, 272, F256, 36) (dual of [272, 229, 37]-code) | [i] | ||
| 81 | Linear OA(25641, 272, F256, 34) (dual of [272, 231, 35]-code) | [i] | ||
| 82 | Linear OA(25639, 272, F256, 32) (dual of [272, 233, 33]-code) | [i] | ||
| 83 | Linear OA(25637, 272, F256, 30) (dual of [272, 235, 31]-code) | [i] | ||
| 84 | Linear OA(25635, 272, F256, 28) (dual of [272, 237, 29]-code) | [i] | ||
| 85 | Linear OA(25633, 272, F256, 26) (dual of [272, 239, 27]-code) | [i] | ||
| 86 | Linear OA(25631, 272, F256, 24) (dual of [272, 241, 25]-code) | [i] | ||
| 87 | Linear OA(25629, 272, F256, 22) (dual of [272, 243, 23]-code) | [i] | ||
| 88 | Linear OA(25627, 272, F256, 20) (dual of [272, 245, 21]-code) | [i] | ||
| 89 | Linear OA(25625, 272, F256, 18) (dual of [272, 247, 19]-code) | [i] | ||
| 90 | Linear OA(25623, 272, F256, 16) (dual of [272, 249, 17]-code) | [i] | ||
| 91 | Linear OA(25621, 272, F256, 14) (dual of [272, 251, 15]-code) | [i] | ||
| 92 | Linear OA(25619, 272, F256, 12) (dual of [272, 253, 13]-code) | [i] | ||
| 93 | Linear OA(25668, 272, F256, 61) (dual of [272, 204, 62]-code) | [i] | ||
| 94 | Linear OA(25666, 272, F256, 59) (dual of [272, 206, 60]-code) | [i] | ||
| 95 | Linear OA(25664, 272, F256, 57) (dual of [272, 208, 58]-code) | [i] | ||
| 96 | Linear OA(25662, 272, F256, 55) (dual of [272, 210, 56]-code) | [i] | ||
| 97 | Linear OA(25660, 272, F256, 53) (dual of [272, 212, 54]-code) | [i] | ||
| 98 | Linear OA(25658, 272, F256, 51) (dual of [272, 214, 52]-code) | [i] | ||
| 99 | Linear OA(25656, 272, F256, 49) (dual of [272, 216, 50]-code) | [i] | ||
| 100 | Linear OA(25654, 272, F256, 47) (dual of [272, 218, 48]-code) | [i] | ||
| 101 | Linear OA(25652, 272, F256, 45) (dual of [272, 220, 46]-code) | [i] | ||
| 102 | Linear OA(25650, 272, F256, 43) (dual of [272, 222, 44]-code) | [i] | ||
| 103 | Linear OA(25648, 272, F256, 41) (dual of [272, 224, 42]-code) | [i] | ||
| 104 | Linear OA(25646, 272, F256, 39) (dual of [272, 226, 40]-code) | [i] | ||
| 105 | Linear OA(25644, 272, F256, 37) (dual of [272, 228, 38]-code) | [i] | ||
| 106 | Linear OA(25642, 272, F256, 35) (dual of [272, 230, 36]-code) | [i] | ||
| 107 | Linear OA(25640, 272, F256, 33) (dual of [272, 232, 34]-code) | [i] | ||
| 108 | Linear OA(25638, 272, F256, 31) (dual of [272, 234, 32]-code) | [i] | ||
| 109 | Linear OA(25636, 272, F256, 29) (dual of [272, 236, 30]-code) | [i] | ||
| 110 | Linear OA(25634, 272, F256, 27) (dual of [272, 238, 28]-code) | [i] | ||
| 111 | Linear OA(25632, 272, F256, 25) (dual of [272, 240, 26]-code) | [i] | ||
| 112 | Linear OA(25630, 272, F256, 23) (dual of [272, 242, 24]-code) | [i] | ||
| 113 | Linear OA(25628, 272, F256, 21) (dual of [272, 244, 22]-code) | [i] | ||
| 114 | Linear OA(25626, 272, F256, 19) (dual of [272, 246, 20]-code) | [i] | ||
| 115 | Linear OA(25624, 272, F256, 17) (dual of [272, 248, 18]-code) | [i] | ||
| 116 | Linear OA(25622, 272, F256, 15) (dual of [272, 250, 16]-code) | [i] | ||
| 117 | Linear OA(25620, 272, F256, 13) (dual of [272, 252, 14]-code) | [i] | ||
| 118 | Linear OA(25668, 527, F256, 53) (dual of [527, 459, 54]-code) | [i] | ||
| 119 | Linear OA(25667, 527, F256, 52) (dual of [527, 460, 53]-code) | [i] | ||
| 120 | Linear OA(25666, 527, F256, 51) (dual of [527, 461, 52]-code) | [i] | ||
| 121 | Linear OA(25665, 527, F256, 50) (dual of [527, 462, 51]-code) | [i] | ||
| 122 | Linear OA(25664, 527, F256, 49) (dual of [527, 463, 50]-code) | [i] | ||
| 123 | Linear OA(25663, 527, F256, 48) (dual of [527, 464, 49]-code) | [i] | ||
| 124 | Linear OA(25662, 527, F256, 47) (dual of [527, 465, 48]-code) | [i] | ||
| 125 | Linear OA(25661, 527, F256, 46) (dual of [527, 466, 47]-code) | [i] | ||
| 126 | Linear OA(25660, 527, F256, 45) (dual of [527, 467, 46]-code) | [i] | ||
| 127 | Linear OA(25659, 527, F256, 44) (dual of [527, 468, 45]-code) | [i] | ||
| 128 | Linear OA(25658, 527, F256, 43) (dual of [527, 469, 44]-code) | [i] | ||
| 129 | Linear OA(25657, 527, F256, 42) (dual of [527, 470, 43]-code) | [i] | ||
| 130 | Linear OA(25656, 527, F256, 41) (dual of [527, 471, 42]-code) | [i] | ||
| 131 | Linear OA(25655, 527, F256, 40) (dual of [527, 472, 41]-code) | [i] | ||
| 132 | Linear OA(25654, 527, F256, 39) (dual of [527, 473, 40]-code) | [i] | ||
| 133 | Linear OA(25653, 527, F256, 38) (dual of [527, 474, 39]-code) | [i] | ||
| 134 | Linear OA(25652, 527, F256, 37) (dual of [527, 475, 38]-code) | [i] | ||
| 135 | Linear OA(25651, 527, F256, 36) (dual of [527, 476, 37]-code) | [i] | ||
| 136 | Linear OA(25650, 527, F256, 35) (dual of [527, 477, 36]-code) | [i] | ||
| 137 | Linear OA(25649, 527, F256, 34) (dual of [527, 478, 35]-code) | [i] | ||
| 138 | Linear OA(25648, 527, F256, 33) (dual of [527, 479, 34]-code) | [i] | ||
| 139 | Linear OA(25647, 527, F256, 32) (dual of [527, 480, 33]-code) | [i] | ||
| 140 | Linear OA(25646, 527, F256, 31) (dual of [527, 481, 32]-code) | [i] | ||
| 141 | Linear OA(25645, 527, F256, 30) (dual of [527, 482, 31]-code) | [i] | ||
| 142 | Linear OA(25644, 527, F256, 29) (dual of [527, 483, 30]-code) | [i] | ||
| 143 | Linear OA(25643, 527, F256, 28) (dual of [527, 484, 29]-code) | [i] | ||
| 144 | Linear OA(25642, 527, F256, 27) (dual of [527, 485, 28]-code) | [i] | ||
| 145 | Linear OA(25641, 527, F256, 26) (dual of [527, 486, 27]-code) | [i] | ||
| 146 | Linear OA(25640, 527, F256, 25) (dual of [527, 487, 26]-code) | [i] | ||
| 147 | Linear OA(25639, 527, F256, 24) (dual of [527, 488, 25]-code) | [i] | ||
| 148 | Linear OA(25661, 65555, F256, 23) (dual of [65555, 65494, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 149 | Linear OA(25662, 65557, F256, 23) (dual of [65557, 65495, 24]-code) | [i] | ||
| 150 | Linear OA(25659, 65554, F256, 22) (dual of [65554, 65495, 23]-code) | [i] | ||
| 151 | Linear OA(25660, 65556, F256, 22) (dual of [65556, 65496, 23]-code) | [i] | ||
| 152 | Linear OA(25657, 65555, F256, 21) (dual of [65555, 65498, 22]-code) | [i] | ||
| 153 | Linear OA(25668, 65560, F256, 31) (dual of [65560, 65492, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 154 | Linear OA(25664, 65560, F256, 29) (dual of [65560, 65496, 30]-code) | [i] | ||
| 155 | Linear OA(25660, 65560, F256, 27) (dual of [65560, 65500, 28]-code) | [i] | ||
| 156 | Linear OA(25656, 65560, F256, 25) (dual of [65560, 65504, 26]-code) | [i] | ||
| 157 | Linear OA(25652, 65560, F256, 23) (dual of [65560, 65508, 24]-code) | [i] | ||
| 158 | Linear OA(25648, 65560, F256, 21) (dual of [65560, 65512, 22]-code) | [i] | ||
| 159 | Linear OA(25644, 65560, F256, 19) (dual of [65560, 65516, 20]-code) | [i] | ||
| 160 | Linear OA(25640, 65560, F256, 17) (dual of [65560, 65520, 18]-code) | [i] | ||
| 161 | Linear OA(25666, 65559, F256, 30) (dual of [65559, 65493, 31]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 162 | Linear OA(25662, 65559, F256, 28) (dual of [65559, 65497, 29]-code) | [i] | ||
| 163 | Linear OA(25658, 65559, F256, 26) (dual of [65559, 65501, 27]-code) | [i] | ||
| 164 | Linear OA(25654, 65559, F256, 24) (dual of [65559, 65505, 25]-code) | [i] | ||
| 165 | Linear OA(25650, 65559, F256, 22) (dual of [65559, 65509, 23]-code) | [i] | ||
| 166 | Linear OA(25646, 65559, F256, 20) (dual of [65559, 65513, 21]-code) | [i] | ||
| 167 | Linear OA(25642, 65559, F256, 18) (dual of [65559, 65517, 19]-code) | [i] | ||
| 168 | Linear OA(25638, 65559, F256, 16) (dual of [65559, 65521, 17]-code) | [i] | ||