Information on Result #606737
Linear OA(25614, 256, F256, 14) (dual of [256, 242, 15]-code or 256-arc in PG(13,256)), using Reed–Solomon code RS(242,256)
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(25617, 259, F256, 16) (dual of [259, 242, 17]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25615, 259, F256, 14) (dual of [259, 244, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(25619, 261, F256, 17) (dual of [261, 242, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(25616, 261, F256, 14) (dual of [261, 245, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(25621, 263, F256, 18) (dual of [263, 242, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(25617, 263, F256, 14) (dual of [263, 246, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(25623, 265, F256, 19) (dual of [265, 242, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(25618, 265, F256, 14) (dual of [265, 247, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(25625, 267, F256, 20) (dual of [267, 242, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(25619, 267, F256, 14) (dual of [267, 248, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(25627, 269, F256, 21) (dual of [269, 242, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(25620, 269, F256, 14) (dual of [269, 249, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(25629, 271, F256, 22) (dual of [271, 242, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(25621, 271, F256, 14) (dual of [271, 250, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(25631, 273, F256, 23) (dual of [273, 242, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(25622, 273, F256, 14) (dual of [273, 251, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(25633, 275, F256, 24) (dual of [275, 242, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(25635, 277, F256, 25) (dual of [277, 242, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(25637, 279, F256, 26) (dual of [279, 242, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(25639, 281, F256, 27) (dual of [281, 242, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(25641, 283, F256, 28) (dual of [283, 242, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(25668, 285, F256, 54) (dual of [285, 217, 55]-code) | [i] | ||
| 23 | Linear OA(25667, 285, F256, 53) (dual of [285, 218, 54]-code) | [i] | ||
| 24 | Linear OA(25666, 285, F256, 52) (dual of [285, 219, 53]-code) | [i] | ||
| 25 | Linear OA(25665, 285, F256, 51) (dual of [285, 220, 52]-code) | [i] | ||
| 26 | Linear OA(25664, 285, F256, 50) (dual of [285, 221, 51]-code) | [i] | ||
| 27 | Linear OA(25663, 285, F256, 49) (dual of [285, 222, 50]-code) | [i] | ||
| 28 | Linear OA(25662, 285, F256, 48) (dual of [285, 223, 49]-code) | [i] | ||
| 29 | Linear OA(25661, 285, F256, 47) (dual of [285, 224, 48]-code) | [i] | ||
| 30 | Linear OA(25660, 285, F256, 46) (dual of [285, 225, 47]-code) | [i] | ||
| 31 | Linear OA(25659, 285, F256, 45) (dual of [285, 226, 46]-code) | [i] | ||
| 32 | Linear OA(25658, 285, F256, 44) (dual of [285, 227, 45]-code) | [i] | ||
| 33 | Linear OA(25657, 285, F256, 43) (dual of [285, 228, 44]-code) | [i] | ||
| 34 | Linear OA(25656, 285, F256, 42) (dual of [285, 229, 43]-code) | [i] | ||
| 35 | Linear OA(25655, 285, F256, 41) (dual of [285, 230, 42]-code) | [i] | ||
| 36 | Linear OA(25654, 285, F256, 40) (dual of [285, 231, 41]-code) | [i] | ||
| 37 | Linear OA(25653, 285, F256, 39) (dual of [285, 232, 40]-code) | [i] | ||
| 38 | Linear OA(25652, 285, F256, 38) (dual of [285, 233, 39]-code) | [i] | ||
| 39 | Linear OA(25651, 285, F256, 37) (dual of [285, 234, 38]-code) | [i] | ||
| 40 | Linear OA(25650, 285, F256, 36) (dual of [285, 235, 37]-code) | [i] | ||
| 41 | Linear OA(25649, 285, F256, 35) (dual of [285, 236, 36]-code) | [i] | ||
| 42 | Linear OA(25648, 285, F256, 34) (dual of [285, 237, 35]-code) | [i] | ||
| 43 | Linear OA(25647, 285, F256, 33) (dual of [285, 238, 34]-code) | [i] | ||
| 44 | Linear OA(25646, 285, F256, 32) (dual of [285, 239, 33]-code) | [i] | ||
| 45 | Linear OA(25645, 285, F256, 31) (dual of [285, 240, 32]-code) | [i] | ||
| 46 | Linear OA(25644, 285, F256, 30) (dual of [285, 241, 31]-code) | [i] | ||
| 47 | Linear OA(25643, 285, F256, 29) (dual of [285, 242, 30]-code) | [i] | ✔ | |
| 48 | Linear OA(25643, 285, F256, 29) (dual of [285, 242, 30]-code) | [i] | ||
| 49 | Linear OA(25642, 285, F256, 28) (dual of [285, 243, 29]-code) | [i] | ||
| 50 | Linear OA(25641, 285, F256, 27) (dual of [285, 244, 28]-code) | [i] | ||
| 51 | Linear OA(25640, 285, F256, 26) (dual of [285, 245, 27]-code) | [i] | ||
| 52 | Linear OA(25639, 285, F256, 25) (dual of [285, 246, 26]-code) | [i] | ||
| 53 | Linear OA(25638, 285, F256, 24) (dual of [285, 247, 25]-code) | [i] | ||
| 54 | Linear OA(25637, 285, F256, 23) (dual of [285, 248, 24]-code) | [i] | ||
| 55 | Linear OA(25645, 287, F256, 30) (dual of [287, 242, 31]-code) | [i] | ✔ | |
| 56 | Linear OA(25647, 289, F256, 31) (dual of [289, 242, 32]-code) | [i] | ✔ | |
| 57 | Linear OA(25649, 291, F256, 32) (dual of [291, 242, 33]-code) | [i] | ✔ | |
| 58 | Linear OA(25651, 293, F256, 33) (dual of [293, 242, 34]-code) | [i] | ✔ | |
| 59 | Linear OA(25653, 295, F256, 34) (dual of [295, 242, 35]-code) | [i] | ✔ | |
| 60 | Linear OA(25655, 297, F256, 35) (dual of [297, 242, 36]-code) | [i] | ✔ | |
| 61 | Linear OA(25657, 299, F256, 36) (dual of [299, 242, 37]-code) | [i] | ✔ | |
| 62 | Linear OA(25659, 301, F256, 37) (dual of [301, 242, 38]-code) | [i] | ✔ | |
| 63 | Linear OA(25661, 303, F256, 38) (dual of [303, 242, 39]-code) | [i] | ✔ | |
| 64 | Linear OA(25663, 305, F256, 39) (dual of [305, 242, 40]-code) | [i] | ✔ | |
| 65 | Linear OA(25665, 307, F256, 40) (dual of [307, 242, 41]-code) | [i] | ✔ | |
| 66 | Linear OA(25667, 309, F256, 41) (dual of [309, 242, 42]-code) | [i] | ✔ | |
| 67 | Linear OA(25666, 286, F256, 52) (dual of [286, 220, 53]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 68 | Linear OA(25663, 286, F256, 49) (dual of [286, 223, 50]-code) | [i] | ||
| 69 | Linear OA(25660, 286, F256, 46) (dual of [286, 226, 47]-code) | [i] | ||
| 70 | Linear OA(25657, 286, F256, 43) (dual of [286, 229, 44]-code) | [i] | ||
| 71 | Linear OA(25654, 286, F256, 40) (dual of [286, 232, 41]-code) | [i] | ||
| 72 | Linear OA(25651, 286, F256, 37) (dual of [286, 235, 38]-code) | [i] | ||
| 73 | Linear OA(25648, 286, F256, 34) (dual of [286, 238, 35]-code) | [i] | ||
| 74 | Linear OA(25645, 286, F256, 31) (dual of [286, 241, 32]-code) | [i] | ||
| 75 | Linear OA(25642, 286, F256, 28) (dual of [286, 244, 29]-code) | [i] | ||
| 76 | Linear OA(25639, 286, F256, 25) (dual of [286, 247, 26]-code) | [i] | ||
| 77 | Linear OA(25667, 286, F256, 53) (dual of [286, 219, 54]-code) | [i] | ||
| 78 | Linear OA(25664, 286, F256, 50) (dual of [286, 222, 51]-code) | [i] | ||
| 79 | Linear OA(25661, 286, F256, 47) (dual of [286, 225, 48]-code) | [i] | ||
| 80 | Linear OA(25658, 286, F256, 44) (dual of [286, 228, 45]-code) | [i] | ||
| 81 | Linear OA(25655, 286, F256, 41) (dual of [286, 231, 42]-code) | [i] | ||
| 82 | Linear OA(25652, 286, F256, 38) (dual of [286, 234, 39]-code) | [i] | ||
| 83 | Linear OA(25649, 286, F256, 35) (dual of [286, 237, 36]-code) | [i] | ||
| 84 | Linear OA(25646, 286, F256, 32) (dual of [286, 240, 33]-code) | [i] | ||
| 85 | Linear OA(25643, 286, F256, 29) (dual of [286, 243, 30]-code) | [i] | ||
| 86 | Linear OA(25640, 286, F256, 26) (dual of [286, 246, 27]-code) | [i] | ||
| 87 | Linear OA(25637, 286, F256, 23) (dual of [286, 249, 24]-code) | [i] | ||
| 88 | Linear OA(25668, 286, F256, 54) (dual of [286, 218, 55]-code) | [i] | ||
| 89 | Linear OA(25665, 286, F256, 51) (dual of [286, 221, 52]-code) | [i] | ||
| 90 | Linear OA(25662, 286, F256, 48) (dual of [286, 224, 49]-code) | [i] | ||
| 91 | Linear OA(25659, 286, F256, 45) (dual of [286, 227, 46]-code) | [i] | ||
| 92 | Linear OA(25656, 286, F256, 42) (dual of [286, 230, 43]-code) | [i] | ||
| 93 | Linear OA(25653, 286, F256, 39) (dual of [286, 233, 40]-code) | [i] | ||
| 94 | Linear OA(25650, 286, F256, 36) (dual of [286, 236, 37]-code) | [i] | ||
| 95 | Linear OA(25647, 286, F256, 33) (dual of [286, 239, 34]-code) | [i] | ||
| 96 | Linear OA(25644, 286, F256, 30) (dual of [286, 242, 31]-code) | [i] | ||
| 97 | Linear OA(25641, 286, F256, 27) (dual of [286, 245, 28]-code) | [i] | ||
| 98 | Linear OA(25638, 286, F256, 24) (dual of [286, 248, 25]-code) | [i] | ||
| 99 | Linear OA(25668, 541, F256, 46) (dual of [541, 473, 47]-code) | [i] | ||
| 100 | Linear OA(25667, 541, F256, 45) (dual of [541, 474, 46]-code) | [i] | ||
| 101 | Linear OA(25666, 541, F256, 44) (dual of [541, 475, 45]-code) | [i] | ||
| 102 | Linear OA(25665, 541, F256, 43) (dual of [541, 476, 44]-code) | [i] | ||
| 103 | Linear OA(25664, 541, F256, 42) (dual of [541, 477, 43]-code) | [i] | ||
| 104 | Linear OA(25663, 541, F256, 41) (dual of [541, 478, 42]-code) | [i] | ||
| 105 | Linear OA(25662, 541, F256, 40) (dual of [541, 479, 41]-code) | [i] | ||
| 106 | Linear OA(25661, 541, F256, 39) (dual of [541, 480, 40]-code) | [i] | ||
| 107 | Linear OA(25660, 541, F256, 38) (dual of [541, 481, 39]-code) | [i] | ||
| 108 | Linear OA(25659, 541, F256, 37) (dual of [541, 482, 38]-code) | [i] | ||