Information on Result #606734
Linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using Reed–Solomon code RS(245,256)
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(25614, 259, F256, 13) (dual of [259, 245, 14]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25612, 259, F256, 11) (dual of [259, 247, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(25616, 261, F256, 14) (dual of [261, 245, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(25613, 261, F256, 11) (dual of [261, 248, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(25618, 263, F256, 15) (dual of [263, 245, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(25614, 263, F256, 11) (dual of [263, 249, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(25620, 265, F256, 16) (dual of [265, 245, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(25615, 265, F256, 11) (dual of [265, 250, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(25622, 267, F256, 17) (dual of [267, 245, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(25616, 267, F256, 11) (dual of [267, 251, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(25624, 269, F256, 18) (dual of [269, 245, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(25617, 269, F256, 11) (dual of [269, 252, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(25626, 271, F256, 19) (dual of [271, 245, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(25628, 273, F256, 20) (dual of [273, 245, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(25630, 275, F256, 21) (dual of [275, 245, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(25632, 277, F256, 22) (dual of [277, 245, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(25668, 279, F256, 57) (dual of [279, 211, 58]-code) | [i] | ||
| 18 | Linear OA(25667, 279, F256, 56) (dual of [279, 212, 57]-code) | [i] | ||
| 19 | Linear OA(25666, 279, F256, 55) (dual of [279, 213, 56]-code) | [i] | ||
| 20 | Linear OA(25665, 279, F256, 54) (dual of [279, 214, 55]-code) | [i] | ||
| 21 | Linear OA(25664, 279, F256, 53) (dual of [279, 215, 54]-code) | [i] | ||
| 22 | Linear OA(25663, 279, F256, 52) (dual of [279, 216, 53]-code) | [i] | ||
| 23 | Linear OA(25662, 279, F256, 51) (dual of [279, 217, 52]-code) | [i] | ||
| 24 | Linear OA(25661, 279, F256, 50) (dual of [279, 218, 51]-code) | [i] | ||
| 25 | Linear OA(25660, 279, F256, 49) (dual of [279, 219, 50]-code) | [i] | ||
| 26 | Linear OA(25659, 279, F256, 48) (dual of [279, 220, 49]-code) | [i] | ||
| 27 | Linear OA(25658, 279, F256, 47) (dual of [279, 221, 48]-code) | [i] | ||
| 28 | Linear OA(25657, 279, F256, 46) (dual of [279, 222, 47]-code) | [i] | ||
| 29 | Linear OA(25656, 279, F256, 45) (dual of [279, 223, 46]-code) | [i] | ||
| 30 | Linear OA(25655, 279, F256, 44) (dual of [279, 224, 45]-code) | [i] | ||
| 31 | Linear OA(25654, 279, F256, 43) (dual of [279, 225, 44]-code) | [i] | ||
| 32 | Linear OA(25653, 279, F256, 42) (dual of [279, 226, 43]-code) | [i] | ||
| 33 | Linear OA(25652, 279, F256, 41) (dual of [279, 227, 42]-code) | [i] | ||
| 34 | Linear OA(25651, 279, F256, 40) (dual of [279, 228, 41]-code) | [i] | ||
| 35 | Linear OA(25650, 279, F256, 39) (dual of [279, 229, 40]-code) | [i] | ||
| 36 | Linear OA(25649, 279, F256, 38) (dual of [279, 230, 39]-code) | [i] | ||
| 37 | Linear OA(25648, 279, F256, 37) (dual of [279, 231, 38]-code) | [i] | ||
| 38 | Linear OA(25647, 279, F256, 36) (dual of [279, 232, 37]-code) | [i] | ||
| 39 | Linear OA(25646, 279, F256, 35) (dual of [279, 233, 36]-code) | [i] | ||
| 40 | Linear OA(25645, 279, F256, 34) (dual of [279, 234, 35]-code) | [i] | ||
| 41 | Linear OA(25644, 279, F256, 33) (dual of [279, 235, 34]-code) | [i] | ||
| 42 | Linear OA(25643, 279, F256, 32) (dual of [279, 236, 33]-code) | [i] | ||
| 43 | Linear OA(25642, 279, F256, 31) (dual of [279, 237, 32]-code) | [i] | ||
| 44 | Linear OA(25641, 279, F256, 30) (dual of [279, 238, 31]-code) | [i] | ||
| 45 | Linear OA(25640, 279, F256, 29) (dual of [279, 239, 30]-code) | [i] | ||
| 46 | Linear OA(25639, 279, F256, 28) (dual of [279, 240, 29]-code) | [i] | ||
| 47 | Linear OA(25638, 279, F256, 27) (dual of [279, 241, 28]-code) | [i] | ||
| 48 | Linear OA(25637, 279, F256, 26) (dual of [279, 242, 27]-code) | [i] | ||
| 49 | Linear OA(25636, 279, F256, 25) (dual of [279, 243, 26]-code) | [i] | ||
| 50 | Linear OA(25635, 279, F256, 24) (dual of [279, 244, 25]-code) | [i] | ||
| 51 | Linear OA(25634, 279, F256, 23) (dual of [279, 245, 24]-code) | [i] | ✔ | |
| 52 | Linear OA(25634, 279, F256, 23) (dual of [279, 245, 24]-code) | [i] | ||
| 53 | Linear OA(25633, 279, F256, 22) (dual of [279, 246, 23]-code) | [i] | ||
| 54 | Linear OA(25632, 279, F256, 21) (dual of [279, 247, 22]-code) | [i] | ||
| 55 | Linear OA(25631, 279, F256, 20) (dual of [279, 248, 21]-code) | [i] | ||
| 56 | Linear OA(25630, 279, F256, 19) (dual of [279, 249, 20]-code) | [i] | ||
| 57 | Linear OA(25629, 279, F256, 18) (dual of [279, 250, 19]-code) | [i] | ||
| 58 | Linear OA(25636, 281, F256, 24) (dual of [281, 245, 25]-code) | [i] | ✔ | |
| 59 | Linear OA(25638, 283, F256, 25) (dual of [283, 245, 26]-code) | [i] | ✔ | |
| 60 | Linear OA(25640, 285, F256, 26) (dual of [285, 245, 27]-code) | [i] | ✔ | |
| 61 | Linear OA(25642, 287, F256, 27) (dual of [287, 245, 28]-code) | [i] | ✔ | |
| 62 | Linear OA(25644, 289, F256, 28) (dual of [289, 245, 29]-code) | [i] | ✔ | |
| 63 | Linear OA(25646, 291, F256, 29) (dual of [291, 245, 30]-code) | [i] | ✔ | |
| 64 | Linear OA(25648, 293, F256, 30) (dual of [293, 245, 31]-code) | [i] | ✔ | |
| 65 | Linear OA(25650, 295, F256, 31) (dual of [295, 245, 32]-code) | [i] | ✔ | |
| 66 | Linear OA(25652, 297, F256, 32) (dual of [297, 245, 33]-code) | [i] | ✔ | |
| 67 | Linear OA(25654, 299, F256, 33) (dual of [299, 245, 34]-code) | [i] | ✔ | |
| 68 | Linear OA(25667, 280, F256, 56) (dual of [280, 213, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 69 | Linear OA(25665, 280, F256, 54) (dual of [280, 215, 55]-code) | [i] | ||
| 70 | Linear OA(25663, 280, F256, 52) (dual of [280, 217, 53]-code) | [i] | ||
| 71 | Linear OA(25661, 280, F256, 50) (dual of [280, 219, 51]-code) | [i] | ||
| 72 | Linear OA(25659, 280, F256, 48) (dual of [280, 221, 49]-code) | [i] | ||
| 73 | Linear OA(25657, 280, F256, 46) (dual of [280, 223, 47]-code) | [i] | ||
| 74 | Linear OA(25655, 280, F256, 44) (dual of [280, 225, 45]-code) | [i] | ||
| 75 | Linear OA(25653, 280, F256, 42) (dual of [280, 227, 43]-code) | [i] | ||
| 76 | Linear OA(25651, 280, F256, 40) (dual of [280, 229, 41]-code) | [i] | ||
| 77 | Linear OA(25649, 280, F256, 38) (dual of [280, 231, 39]-code) | [i] | ||
| 78 | Linear OA(25647, 280, F256, 36) (dual of [280, 233, 37]-code) | [i] | ||
| 79 | Linear OA(25645, 280, F256, 34) (dual of [280, 235, 35]-code) | [i] | ||
| 80 | Linear OA(25643, 280, F256, 32) (dual of [280, 237, 33]-code) | [i] | ||
| 81 | Linear OA(25641, 280, F256, 30) (dual of [280, 239, 31]-code) | [i] | ||
| 82 | Linear OA(25639, 280, F256, 28) (dual of [280, 241, 29]-code) | [i] | ||
| 83 | Linear OA(25637, 280, F256, 26) (dual of [280, 243, 27]-code) | [i] | ||
| 84 | Linear OA(25635, 280, F256, 24) (dual of [280, 245, 25]-code) | [i] | ||
| 85 | Linear OA(25633, 280, F256, 22) (dual of [280, 247, 23]-code) | [i] | ||
| 86 | Linear OA(25631, 280, F256, 20) (dual of [280, 249, 21]-code) | [i] | ||
| 87 | Linear OA(25629, 280, F256, 18) (dual of [280, 251, 19]-code) | [i] | ||
| 88 | Linear OA(25668, 280, F256, 57) (dual of [280, 212, 58]-code) | [i] | ||
| 89 | Linear OA(25666, 280, F256, 55) (dual of [280, 214, 56]-code) | [i] | ||
| 90 | Linear OA(25664, 280, F256, 53) (dual of [280, 216, 54]-code) | [i] | ||
| 91 | Linear OA(25662, 280, F256, 51) (dual of [280, 218, 52]-code) | [i] | ||
| 92 | Linear OA(25660, 280, F256, 49) (dual of [280, 220, 50]-code) | [i] | ||
| 93 | Linear OA(25658, 280, F256, 47) (dual of [280, 222, 48]-code) | [i] | ||
| 94 | Linear OA(25656, 280, F256, 45) (dual of [280, 224, 46]-code) | [i] | ||
| 95 | Linear OA(25654, 280, F256, 43) (dual of [280, 226, 44]-code) | [i] | ||
| 96 | Linear OA(25652, 280, F256, 41) (dual of [280, 228, 42]-code) | [i] | ||
| 97 | Linear OA(25650, 280, F256, 39) (dual of [280, 230, 40]-code) | [i] | ||
| 98 | Linear OA(25648, 280, F256, 37) (dual of [280, 232, 38]-code) | [i] | ||
| 99 | Linear OA(25646, 280, F256, 35) (dual of [280, 234, 36]-code) | [i] | ||
| 100 | Linear OA(25644, 280, F256, 33) (dual of [280, 236, 34]-code) | [i] | ||
| 101 | Linear OA(25642, 280, F256, 31) (dual of [280, 238, 32]-code) | [i] | ||
| 102 | Linear OA(25640, 280, F256, 29) (dual of [280, 240, 30]-code) | [i] | ||
| 103 | Linear OA(25638, 280, F256, 27) (dual of [280, 242, 28]-code) | [i] | ||
| 104 | Linear OA(25636, 280, F256, 25) (dual of [280, 244, 26]-code) | [i] | ||
| 105 | Linear OA(25634, 280, F256, 23) (dual of [280, 246, 24]-code) | [i] | ||
| 106 | Linear OA(25632, 280, F256, 21) (dual of [280, 248, 22]-code) | [i] | ||
| 107 | Linear OA(25630, 280, F256, 19) (dual of [280, 250, 20]-code) | [i] | ||
| 108 | Linear OA(25668, 535, F256, 49) (dual of [535, 467, 50]-code) | [i] | ||
| 109 | Linear OA(25667, 535, F256, 48) (dual of [535, 468, 49]-code) | [i] | ||
| 110 | Linear OA(25666, 535, F256, 47) (dual of [535, 469, 48]-code) | [i] | ||
| 111 | Linear OA(25665, 535, F256, 46) (dual of [535, 470, 47]-code) | [i] | ||
| 112 | Linear OA(25664, 535, F256, 45) (dual of [535, 471, 46]-code) | [i] | ||
| 113 | Linear OA(25663, 535, F256, 44) (dual of [535, 472, 45]-code) | [i] | ||
| 114 | Linear OA(25662, 535, F256, 43) (dual of [535, 473, 44]-code) | [i] | ||
| 115 | Linear OA(25661, 535, F256, 42) (dual of [535, 474, 43]-code) | [i] | ||
| 116 | Linear OA(25660, 535, F256, 41) (dual of [535, 475, 42]-code) | [i] | ||
| 117 | Linear OA(25659, 535, F256, 40) (dual of [535, 476, 41]-code) | [i] | ||
| 118 | Linear OA(25658, 535, F256, 39) (dual of [535, 477, 40]-code) | [i] | ||
| 119 | Linear OA(25657, 535, F256, 38) (dual of [535, 478, 39]-code) | [i] | ||
| 120 | Linear OA(25656, 535, F256, 37) (dual of [535, 479, 38]-code) | [i] | ||
| 121 | Linear OA(25655, 535, F256, 36) (dual of [535, 480, 37]-code) | [i] | ||
| 122 | Linear OA(25654, 535, F256, 35) (dual of [535, 481, 36]-code) | [i] | ||
| 123 | Linear OA(25653, 535, F256, 34) (dual of [535, 482, 35]-code) | [i] | ||
| 124 | Linear OA(25652, 535, F256, 33) (dual of [535, 483, 34]-code) | [i] | ||
| 125 | Linear OA(25651, 535, F256, 32) (dual of [535, 484, 33]-code) | [i] | ||
| 126 | Linear OA(25650, 535, F256, 31) (dual of [535, 485, 32]-code) | [i] | ||
| 127 | Linear OA(25668, 65572, F256, 29) (dual of [65572, 65504, 30]-code) | [i] | Construction X with Cyclic Codes | |
| 128 | Linear OA(25664, 65572, F256, 27) (dual of [65572, 65508, 28]-code) | [i] | ||
| 129 | Linear OA(25660, 65572, F256, 25) (dual of [65572, 65512, 26]-code) | [i] | ||
| 130 | Linear OA(25666, 65571, F256, 28) (dual of [65571, 65505, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 131 | Linear OA(25662, 65571, F256, 26) (dual of [65571, 65509, 27]-code) | [i] | ||
| 132 | Linear OA(25658, 65571, F256, 24) (dual of [65571, 65513, 25]-code) | [i] | ||