Information on Result #606738
Linear OA(25615, 256, F256, 15) (dual of [256, 241, 16]-code or 256-arc in PG(14,256)), using Reed–Solomon code RS(241,256)
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(25618, 259, F256, 17) (dual of [259, 241, 18]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25616, 259, F256, 15) (dual of [259, 243, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(25620, 261, F256, 18) (dual of [261, 241, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(25617, 261, F256, 15) (dual of [261, 244, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(25622, 263, F256, 19) (dual of [263, 241, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(25618, 263, F256, 15) (dual of [263, 245, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(25624, 265, F256, 20) (dual of [265, 241, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(25619, 265, F256, 15) (dual of [265, 246, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(25626, 267, F256, 21) (dual of [267, 241, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(25620, 267, F256, 15) (dual of [267, 247, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(25628, 269, F256, 22) (dual of [269, 241, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(25621, 269, F256, 15) (dual of [269, 248, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(25630, 271, F256, 23) (dual of [271, 241, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(25622, 271, F256, 15) (dual of [271, 249, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(25632, 273, F256, 24) (dual of [273, 241, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(25623, 273, F256, 15) (dual of [273, 250, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(25634, 275, F256, 25) (dual of [275, 241, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(25624, 275, F256, 15) (dual of [275, 251, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(25636, 277, F256, 26) (dual of [277, 241, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(25638, 279, F256, 27) (dual of [279, 241, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(25640, 281, F256, 28) (dual of [281, 241, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(25642, 283, F256, 29) (dual of [283, 241, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(25644, 285, F256, 30) (dual of [285, 241, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(25668, 287, F256, 53) (dual of [287, 219, 54]-code) | [i] | ||
| 25 | Linear OA(25667, 287, F256, 52) (dual of [287, 220, 53]-code) | [i] | ||
| 26 | Linear OA(25666, 287, F256, 51) (dual of [287, 221, 52]-code) | [i] | ||
| 27 | Linear OA(25665, 287, F256, 50) (dual of [287, 222, 51]-code) | [i] | ||
| 28 | Linear OA(25664, 287, F256, 49) (dual of [287, 223, 50]-code) | [i] | ||
| 29 | Linear OA(25663, 287, F256, 48) (dual of [287, 224, 49]-code) | [i] | ||
| 30 | Linear OA(25662, 287, F256, 47) (dual of [287, 225, 48]-code) | [i] | ||
| 31 | Linear OA(25661, 287, F256, 46) (dual of [287, 226, 47]-code) | [i] | ||
| 32 | Linear OA(25660, 287, F256, 45) (dual of [287, 227, 46]-code) | [i] | ||
| 33 | Linear OA(25659, 287, F256, 44) (dual of [287, 228, 45]-code) | [i] | ||
| 34 | Linear OA(25658, 287, F256, 43) (dual of [287, 229, 44]-code) | [i] | ||
| 35 | Linear OA(25657, 287, F256, 42) (dual of [287, 230, 43]-code) | [i] | ||
| 36 | Linear OA(25656, 287, F256, 41) (dual of [287, 231, 42]-code) | [i] | ||
| 37 | Linear OA(25655, 287, F256, 40) (dual of [287, 232, 41]-code) | [i] | ||
| 38 | Linear OA(25654, 287, F256, 39) (dual of [287, 233, 40]-code) | [i] | ||
| 39 | Linear OA(25653, 287, F256, 38) (dual of [287, 234, 39]-code) | [i] | ||
| 40 | Linear OA(25652, 287, F256, 37) (dual of [287, 235, 38]-code) | [i] | ||
| 41 | Linear OA(25651, 287, F256, 36) (dual of [287, 236, 37]-code) | [i] | ||
| 42 | Linear OA(25650, 287, F256, 35) (dual of [287, 237, 36]-code) | [i] | ||
| 43 | Linear OA(25649, 287, F256, 34) (dual of [287, 238, 35]-code) | [i] | ||
| 44 | Linear OA(25648, 287, F256, 33) (dual of [287, 239, 34]-code) | [i] | ||
| 45 | Linear OA(25647, 287, F256, 32) (dual of [287, 240, 33]-code) | [i] | ||
| 46 | Linear OA(25646, 287, F256, 31) (dual of [287, 241, 32]-code) | [i] | ✔ | |
| 47 | Linear OA(25646, 287, F256, 31) (dual of [287, 241, 32]-code) | [i] | ||
| 48 | Linear OA(25645, 287, F256, 30) (dual of [287, 242, 31]-code) | [i] | ||
| 49 | Linear OA(25644, 287, F256, 29) (dual of [287, 243, 30]-code) | [i] | ||
| 50 | Linear OA(25643, 287, F256, 28) (dual of [287, 244, 29]-code) | [i] | ||
| 51 | Linear OA(25642, 287, F256, 27) (dual of [287, 245, 28]-code) | [i] | ||
| 52 | Linear OA(25641, 287, F256, 26) (dual of [287, 246, 27]-code) | [i] | ||
| 53 | Linear OA(25640, 287, F256, 25) (dual of [287, 247, 26]-code) | [i] | ||
| 54 | Linear OA(25639, 287, F256, 24) (dual of [287, 248, 25]-code) | [i] | ||
| 55 | Linear OA(25648, 289, F256, 32) (dual of [289, 241, 33]-code) | [i] | ✔ | |
| 56 | Linear OA(25650, 291, F256, 33) (dual of [291, 241, 34]-code) | [i] | ✔ | |
| 57 | Linear OA(25652, 293, F256, 34) (dual of [293, 241, 35]-code) | [i] | ✔ | |
| 58 | Linear OA(25654, 295, F256, 35) (dual of [295, 241, 36]-code) | [i] | ✔ | |
| 59 | Linear OA(25656, 297, F256, 36) (dual of [297, 241, 37]-code) | [i] | ✔ | |
| 60 | Linear OA(25658, 299, F256, 37) (dual of [299, 241, 38]-code) | [i] | ✔ | |
| 61 | Linear OA(25660, 301, F256, 38) (dual of [301, 241, 39]-code) | [i] | ✔ | |
| 62 | Linear OA(25662, 303, F256, 39) (dual of [303, 241, 40]-code) | [i] | ✔ | |
| 63 | Linear OA(25664, 305, F256, 40) (dual of [305, 241, 41]-code) | [i] | ✔ | |
| 64 | Linear OA(25666, 307, F256, 41) (dual of [307, 241, 42]-code) | [i] | ✔ | |
| 65 | Linear OA(25668, 309, F256, 42) (dual of [309, 241, 43]-code) | [i] | ✔ | |
| 66 | Linear OA(25667, 288, F256, 52) (dual of [288, 221, 53]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 67 | Linear OA(25665, 288, F256, 50) (dual of [288, 223, 51]-code) | [i] | ||
| 68 | Linear OA(25663, 288, F256, 48) (dual of [288, 225, 49]-code) | [i] | ||
| 69 | Linear OA(25661, 288, F256, 46) (dual of [288, 227, 47]-code) | [i] | ||
| 70 | Linear OA(25659, 288, F256, 44) (dual of [288, 229, 45]-code) | [i] | ||
| 71 | Linear OA(25657, 288, F256, 42) (dual of [288, 231, 43]-code) | [i] | ||
| 72 | Linear OA(25655, 288, F256, 40) (dual of [288, 233, 41]-code) | [i] | ||
| 73 | Linear OA(25653, 288, F256, 38) (dual of [288, 235, 39]-code) | [i] | ||
| 74 | Linear OA(25651, 288, F256, 36) (dual of [288, 237, 37]-code) | [i] | ||
| 75 | Linear OA(25649, 288, F256, 34) (dual of [288, 239, 35]-code) | [i] | ||
| 76 | Linear OA(25647, 288, F256, 32) (dual of [288, 241, 33]-code) | [i] | ||
| 77 | Linear OA(25645, 288, F256, 30) (dual of [288, 243, 31]-code) | [i] | ||
| 78 | Linear OA(25643, 288, F256, 28) (dual of [288, 245, 29]-code) | [i] | ||
| 79 | Linear OA(25641, 288, F256, 26) (dual of [288, 247, 27]-code) | [i] | ||
| 80 | Linear OA(25639, 288, F256, 24) (dual of [288, 249, 25]-code) | [i] | ||
| 81 | Linear OA(25668, 288, F256, 53) (dual of [288, 220, 54]-code) | [i] | ||
| 82 | Linear OA(25666, 288, F256, 51) (dual of [288, 222, 52]-code) | [i] | ||
| 83 | Linear OA(25664, 288, F256, 49) (dual of [288, 224, 50]-code) | [i] | ||
| 84 | Linear OA(25662, 288, F256, 47) (dual of [288, 226, 48]-code) | [i] | ||
| 85 | Linear OA(25660, 288, F256, 45) (dual of [288, 228, 46]-code) | [i] | ||
| 86 | Linear OA(25658, 288, F256, 43) (dual of [288, 230, 44]-code) | [i] | ||
| 87 | Linear OA(25656, 288, F256, 41) (dual of [288, 232, 42]-code) | [i] | ||
| 88 | Linear OA(25654, 288, F256, 39) (dual of [288, 234, 40]-code) | [i] | ||
| 89 | Linear OA(25652, 288, F256, 37) (dual of [288, 236, 38]-code) | [i] | ||
| 90 | Linear OA(25650, 288, F256, 35) (dual of [288, 238, 36]-code) | [i] | ||
| 91 | Linear OA(25648, 288, F256, 33) (dual of [288, 240, 34]-code) | [i] | ||
| 92 | Linear OA(25646, 288, F256, 31) (dual of [288, 242, 32]-code) | [i] | ||
| 93 | Linear OA(25644, 288, F256, 29) (dual of [288, 244, 30]-code) | [i] | ||
| 94 | Linear OA(25642, 288, F256, 27) (dual of [288, 246, 28]-code) | [i] | ||
| 95 | Linear OA(25640, 288, F256, 25) (dual of [288, 248, 26]-code) | [i] | ||
| 96 | Linear OA(25668, 543, F256, 45) (dual of [543, 475, 46]-code) | [i] | ||
| 97 | Linear OA(25667, 543, F256, 44) (dual of [543, 476, 45]-code) | [i] | ||
| 98 | Linear OA(25666, 543, F256, 43) (dual of [543, 477, 44]-code) | [i] | ||
| 99 | Linear OA(25665, 543, F256, 42) (dual of [543, 478, 43]-code) | [i] | ||
| 100 | Linear OA(25664, 543, F256, 41) (dual of [543, 479, 42]-code) | [i] | ||
| 101 | Linear OA(25663, 543, F256, 40) (dual of [543, 480, 41]-code) | [i] | ||
| 102 | Linear OA(25662, 543, F256, 39) (dual of [543, 481, 40]-code) | [i] | ||