Information on Result #606736
Linear OA(25613, 256, F256, 13) (dual of [256, 243, 14]-code or 256-arc in PG(12,256)), using Reed–Solomon code RS(243,256)
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(25616, 259, F256, 15) (dual of [259, 243, 16]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25614, 259, F256, 13) (dual of [259, 245, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(25618, 261, F256, 16) (dual of [261, 243, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(25615, 261, F256, 13) (dual of [261, 246, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(25620, 263, F256, 17) (dual of [263, 243, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(25616, 263, F256, 13) (dual of [263, 247, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(25622, 265, F256, 18) (dual of [265, 243, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(25617, 265, F256, 13) (dual of [265, 248, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(25624, 267, F256, 19) (dual of [267, 243, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(25618, 267, F256, 13) (dual of [267, 249, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(25626, 269, F256, 20) (dual of [269, 243, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(25619, 269, F256, 13) (dual of [269, 250, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(25628, 271, F256, 21) (dual of [271, 243, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(25620, 271, F256, 13) (dual of [271, 251, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(25630, 273, F256, 22) (dual of [273, 243, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(25632, 275, F256, 23) (dual of [275, 243, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(25634, 277, F256, 24) (dual of [277, 243, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(25636, 279, F256, 25) (dual of [279, 243, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(25638, 281, F256, 26) (dual of [281, 243, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(25668, 283, F256, 55) (dual of [283, 215, 56]-code) | [i] | ||
| 21 | Linear OA(25667, 283, F256, 54) (dual of [283, 216, 55]-code) | [i] | ||
| 22 | Linear OA(25666, 283, F256, 53) (dual of [283, 217, 54]-code) | [i] | ||
| 23 | Linear OA(25665, 283, F256, 52) (dual of [283, 218, 53]-code) | [i] | ||
| 24 | Linear OA(25664, 283, F256, 51) (dual of [283, 219, 52]-code) | [i] | ||
| 25 | Linear OA(25663, 283, F256, 50) (dual of [283, 220, 51]-code) | [i] | ||
| 26 | Linear OA(25662, 283, F256, 49) (dual of [283, 221, 50]-code) | [i] | ||
| 27 | Linear OA(25661, 283, F256, 48) (dual of [283, 222, 49]-code) | [i] | ||
| 28 | Linear OA(25660, 283, F256, 47) (dual of [283, 223, 48]-code) | [i] | ||
| 29 | Linear OA(25659, 283, F256, 46) (dual of [283, 224, 47]-code) | [i] | ||
| 30 | Linear OA(25658, 283, F256, 45) (dual of [283, 225, 46]-code) | [i] | ||
| 31 | Linear OA(25657, 283, F256, 44) (dual of [283, 226, 45]-code) | [i] | ||
| 32 | Linear OA(25656, 283, F256, 43) (dual of [283, 227, 44]-code) | [i] | ||
| 33 | Linear OA(25655, 283, F256, 42) (dual of [283, 228, 43]-code) | [i] | ||
| 34 | Linear OA(25654, 283, F256, 41) (dual of [283, 229, 42]-code) | [i] | ||
| 35 | Linear OA(25653, 283, F256, 40) (dual of [283, 230, 41]-code) | [i] | ||
| 36 | Linear OA(25652, 283, F256, 39) (dual of [283, 231, 40]-code) | [i] | ||
| 37 | Linear OA(25651, 283, F256, 38) (dual of [283, 232, 39]-code) | [i] | ||
| 38 | Linear OA(25650, 283, F256, 37) (dual of [283, 233, 38]-code) | [i] | ||
| 39 | Linear OA(25649, 283, F256, 36) (dual of [283, 234, 37]-code) | [i] | ||
| 40 | Linear OA(25648, 283, F256, 35) (dual of [283, 235, 36]-code) | [i] | ||
| 41 | Linear OA(25647, 283, F256, 34) (dual of [283, 236, 35]-code) | [i] | ||
| 42 | Linear OA(25646, 283, F256, 33) (dual of [283, 237, 34]-code) | [i] | ||
| 43 | Linear OA(25645, 283, F256, 32) (dual of [283, 238, 33]-code) | [i] | ||
| 44 | Linear OA(25644, 283, F256, 31) (dual of [283, 239, 32]-code) | [i] | ||
| 45 | Linear OA(25643, 283, F256, 30) (dual of [283, 240, 31]-code) | [i] | ||
| 46 | Linear OA(25642, 283, F256, 29) (dual of [283, 241, 30]-code) | [i] | ||
| 47 | Linear OA(25641, 283, F256, 28) (dual of [283, 242, 29]-code) | [i] | ||
| 48 | Linear OA(25640, 283, F256, 27) (dual of [283, 243, 28]-code) | [i] | ✔ | |
| 49 | Linear OA(25640, 283, F256, 27) (dual of [283, 243, 28]-code) | [i] | ||
| 50 | Linear OA(25639, 283, F256, 26) (dual of [283, 244, 27]-code) | [i] | ||
| 51 | Linear OA(25638, 283, F256, 25) (dual of [283, 245, 26]-code) | [i] | ||
| 52 | Linear OA(25637, 283, F256, 24) (dual of [283, 246, 25]-code) | [i] | ||
| 53 | Linear OA(25636, 283, F256, 23) (dual of [283, 247, 24]-code) | [i] | ||
| 54 | Linear OA(25635, 283, F256, 22) (dual of [283, 248, 23]-code) | [i] | ||
| 55 | Linear OA(25634, 283, F256, 21) (dual of [283, 249, 22]-code) | [i] | ||
| 56 | Linear OA(25642, 285, F256, 28) (dual of [285, 243, 29]-code) | [i] | ✔ | |
| 57 | Linear OA(25644, 287, F256, 29) (dual of [287, 243, 30]-code) | [i] | ✔ | |
| 58 | Linear OA(25646, 289, F256, 30) (dual of [289, 243, 31]-code) | [i] | ✔ | |
| 59 | Linear OA(25648, 291, F256, 31) (dual of [291, 243, 32]-code) | [i] | ✔ | |
| 60 | Linear OA(25650, 293, F256, 32) (dual of [293, 243, 33]-code) | [i] | ✔ | |
| 61 | Linear OA(25652, 295, F256, 33) (dual of [295, 243, 34]-code) | [i] | ✔ | |
| 62 | Linear OA(25654, 297, F256, 34) (dual of [297, 243, 35]-code) | [i] | ✔ | |
| 63 | Linear OA(25656, 299, F256, 35) (dual of [299, 243, 36]-code) | [i] | ✔ | |
| 64 | Linear OA(25658, 301, F256, 36) (dual of [301, 243, 37]-code) | [i] | ✔ | |
| 65 | Linear OA(25660, 303, F256, 37) (dual of [303, 243, 38]-code) | [i] | ✔ | |
| 66 | Linear OA(25662, 305, F256, 38) (dual of [305, 243, 39]-code) | [i] | ✔ | |
| 67 | Linear OA(25664, 307, F256, 39) (dual of [307, 243, 40]-code) | [i] | ✔ | |
| 68 | Linear OA(25667, 284, F256, 54) (dual of [284, 217, 55]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 69 | Linear OA(25665, 284, F256, 52) (dual of [284, 219, 53]-code) | [i] | ||
| 70 | Linear OA(25663, 284, F256, 50) (dual of [284, 221, 51]-code) | [i] | ||
| 71 | Linear OA(25661, 284, F256, 48) (dual of [284, 223, 49]-code) | [i] | ||
| 72 | Linear OA(25659, 284, F256, 46) (dual of [284, 225, 47]-code) | [i] | ||
| 73 | Linear OA(25657, 284, F256, 44) (dual of [284, 227, 45]-code) | [i] | ||
| 74 | Linear OA(25655, 284, F256, 42) (dual of [284, 229, 43]-code) | [i] | ||
| 75 | Linear OA(25653, 284, F256, 40) (dual of [284, 231, 41]-code) | [i] | ||
| 76 | Linear OA(25651, 284, F256, 38) (dual of [284, 233, 39]-code) | [i] | ||
| 77 | Linear OA(25649, 284, F256, 36) (dual of [284, 235, 37]-code) | [i] | ||
| 78 | Linear OA(25647, 284, F256, 34) (dual of [284, 237, 35]-code) | [i] | ||
| 79 | Linear OA(25645, 284, F256, 32) (dual of [284, 239, 33]-code) | [i] | ||
| 80 | Linear OA(25643, 284, F256, 30) (dual of [284, 241, 31]-code) | [i] | ||
| 81 | Linear OA(25641, 284, F256, 28) (dual of [284, 243, 29]-code) | [i] | ||
| 82 | Linear OA(25639, 284, F256, 26) (dual of [284, 245, 27]-code) | [i] | ||
| 83 | Linear OA(25637, 284, F256, 24) (dual of [284, 247, 25]-code) | [i] | ||
| 84 | Linear OA(25635, 284, F256, 22) (dual of [284, 249, 23]-code) | [i] | ||
| 85 | Linear OA(25668, 284, F256, 55) (dual of [284, 216, 56]-code) | [i] | ||
| 86 | Linear OA(25666, 284, F256, 53) (dual of [284, 218, 54]-code) | [i] | ||
| 87 | Linear OA(25664, 284, F256, 51) (dual of [284, 220, 52]-code) | [i] | ||
| 88 | Linear OA(25662, 284, F256, 49) (dual of [284, 222, 50]-code) | [i] | ||
| 89 | Linear OA(25660, 284, F256, 47) (dual of [284, 224, 48]-code) | [i] | ||
| 90 | Linear OA(25658, 284, F256, 45) (dual of [284, 226, 46]-code) | [i] | ||
| 91 | Linear OA(25656, 284, F256, 43) (dual of [284, 228, 44]-code) | [i] | ||
| 92 | Linear OA(25654, 284, F256, 41) (dual of [284, 230, 42]-code) | [i] | ||
| 93 | Linear OA(25652, 284, F256, 39) (dual of [284, 232, 40]-code) | [i] | ||
| 94 | Linear OA(25650, 284, F256, 37) (dual of [284, 234, 38]-code) | [i] | ||
| 95 | Linear OA(25648, 284, F256, 35) (dual of [284, 236, 36]-code) | [i] | ||
| 96 | Linear OA(25646, 284, F256, 33) (dual of [284, 238, 34]-code) | [i] | ||
| 97 | Linear OA(25644, 284, F256, 31) (dual of [284, 240, 32]-code) | [i] | ||
| 98 | Linear OA(25642, 284, F256, 29) (dual of [284, 242, 30]-code) | [i] | ||
| 99 | Linear OA(25640, 284, F256, 27) (dual of [284, 244, 28]-code) | [i] | ||
| 100 | Linear OA(25638, 284, F256, 25) (dual of [284, 246, 26]-code) | [i] | ||
| 101 | Linear OA(25636, 284, F256, 23) (dual of [284, 248, 24]-code) | [i] | ||
| 102 | Linear OA(25634, 284, F256, 21) (dual of [284, 250, 22]-code) | [i] | ||
| 103 | Linear OA(25668, 539, F256, 47) (dual of [539, 471, 48]-code) | [i] | ||
| 104 | Linear OA(25667, 539, F256, 46) (dual of [539, 472, 47]-code) | [i] | ||
| 105 | Linear OA(25666, 539, F256, 45) (dual of [539, 473, 46]-code) | [i] | ||
| 106 | Linear OA(25665, 539, F256, 44) (dual of [539, 474, 45]-code) | [i] | ||
| 107 | Linear OA(25664, 539, F256, 43) (dual of [539, 475, 44]-code) | [i] | ||
| 108 | Linear OA(25663, 539, F256, 42) (dual of [539, 476, 43]-code) | [i] | ||
| 109 | Linear OA(25662, 539, F256, 41) (dual of [539, 477, 42]-code) | [i] | ||
| 110 | Linear OA(25661, 539, F256, 40) (dual of [539, 478, 41]-code) | [i] | ||
| 111 | Linear OA(25660, 539, F256, 39) (dual of [539, 479, 40]-code) | [i] | ||
| 112 | Linear OA(25659, 539, F256, 38) (dual of [539, 480, 39]-code) | [i] | ||
| 113 | Linear OA(25658, 539, F256, 37) (dual of [539, 481, 38]-code) | [i] | ||
| 114 | Linear OA(25657, 539, F256, 36) (dual of [539, 482, 37]-code) | [i] | ||
| 115 | Linear OA(25656, 539, F256, 35) (dual of [539, 483, 36]-code) | [i] | ||
| 116 | Linear OA(25668, 65577, F256, 28) (dual of [65577, 65509, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |