Information on Result #606735
Linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using Reed–Solomon code RS(244,256)
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(25615, 259, F256, 14) (dual of [259, 244, 15]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(25613, 259, F256, 12) (dual of [259, 246, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(25617, 261, F256, 15) (dual of [261, 244, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(25614, 261, F256, 12) (dual of [261, 247, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(25619, 263, F256, 16) (dual of [263, 244, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(25615, 263, F256, 12) (dual of [263, 248, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(25621, 265, F256, 17) (dual of [265, 244, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(25616, 265, F256, 12) (dual of [265, 249, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(25623, 267, F256, 18) (dual of [267, 244, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(25617, 267, F256, 12) (dual of [267, 250, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(25625, 269, F256, 19) (dual of [269, 244, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(25618, 269, F256, 12) (dual of [269, 251, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(25627, 271, F256, 20) (dual of [271, 244, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(25619, 271, F256, 12) (dual of [271, 252, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(25629, 273, F256, 21) (dual of [273, 244, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(25631, 275, F256, 22) (dual of [275, 244, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(25633, 277, F256, 23) (dual of [277, 244, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(25635, 279, F256, 24) (dual of [279, 244, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(25668, 281, F256, 56) (dual of [281, 213, 57]-code) | [i] | ||
| 20 | Linear OA(25667, 281, F256, 55) (dual of [281, 214, 56]-code) | [i] | ||
| 21 | Linear OA(25666, 281, F256, 54) (dual of [281, 215, 55]-code) | [i] | ||
| 22 | Linear OA(25665, 281, F256, 53) (dual of [281, 216, 54]-code) | [i] | ||
| 23 | Linear OA(25664, 281, F256, 52) (dual of [281, 217, 53]-code) | [i] | ||
| 24 | Linear OA(25663, 281, F256, 51) (dual of [281, 218, 52]-code) | [i] | ||
| 25 | Linear OA(25662, 281, F256, 50) (dual of [281, 219, 51]-code) | [i] | ||
| 26 | Linear OA(25661, 281, F256, 49) (dual of [281, 220, 50]-code) | [i] | ||
| 27 | Linear OA(25660, 281, F256, 48) (dual of [281, 221, 49]-code) | [i] | ||
| 28 | Linear OA(25659, 281, F256, 47) (dual of [281, 222, 48]-code) | [i] | ||
| 29 | Linear OA(25658, 281, F256, 46) (dual of [281, 223, 47]-code) | [i] | ||
| 30 | Linear OA(25657, 281, F256, 45) (dual of [281, 224, 46]-code) | [i] | ||
| 31 | Linear OA(25656, 281, F256, 44) (dual of [281, 225, 45]-code) | [i] | ||
| 32 | Linear OA(25655, 281, F256, 43) (dual of [281, 226, 44]-code) | [i] | ||
| 33 | Linear OA(25654, 281, F256, 42) (dual of [281, 227, 43]-code) | [i] | ||
| 34 | Linear OA(25653, 281, F256, 41) (dual of [281, 228, 42]-code) | [i] | ||
| 35 | Linear OA(25652, 281, F256, 40) (dual of [281, 229, 41]-code) | [i] | ||
| 36 | Linear OA(25651, 281, F256, 39) (dual of [281, 230, 40]-code) | [i] | ||
| 37 | Linear OA(25650, 281, F256, 38) (dual of [281, 231, 39]-code) | [i] | ||
| 38 | Linear OA(25649, 281, F256, 37) (dual of [281, 232, 38]-code) | [i] | ||
| 39 | Linear OA(25648, 281, F256, 36) (dual of [281, 233, 37]-code) | [i] | ||
| 40 | Linear OA(25647, 281, F256, 35) (dual of [281, 234, 36]-code) | [i] | ||
| 41 | Linear OA(25646, 281, F256, 34) (dual of [281, 235, 35]-code) | [i] | ||
| 42 | Linear OA(25645, 281, F256, 33) (dual of [281, 236, 34]-code) | [i] | ||
| 43 | Linear OA(25644, 281, F256, 32) (dual of [281, 237, 33]-code) | [i] | ||
| 44 | Linear OA(25643, 281, F256, 31) (dual of [281, 238, 32]-code) | [i] | ||
| 45 | Linear OA(25642, 281, F256, 30) (dual of [281, 239, 31]-code) | [i] | ||
| 46 | Linear OA(25641, 281, F256, 29) (dual of [281, 240, 30]-code) | [i] | ||
| 47 | Linear OA(25640, 281, F256, 28) (dual of [281, 241, 29]-code) | [i] | ||
| 48 | Linear OA(25639, 281, F256, 27) (dual of [281, 242, 28]-code) | [i] | ||
| 49 | Linear OA(25638, 281, F256, 26) (dual of [281, 243, 27]-code) | [i] | ||
| 50 | Linear OA(25637, 281, F256, 25) (dual of [281, 244, 26]-code) | [i] | ||
| 51 | Linear OA(25637, 281, F256, 25) (dual of [281, 244, 26]-code) | [i] | ✔ | |
| 52 | Linear OA(25636, 281, F256, 24) (dual of [281, 245, 25]-code) | [i] | ||
| 53 | Linear OA(25635, 281, F256, 23) (dual of [281, 246, 24]-code) | [i] | ||
| 54 | Linear OA(25634, 281, F256, 22) (dual of [281, 247, 23]-code) | [i] | ||
| 55 | Linear OA(25633, 281, F256, 21) (dual of [281, 248, 22]-code) | [i] | ||
| 56 | Linear OA(25632, 281, F256, 20) (dual of [281, 249, 21]-code) | [i] | ||
| 57 | Linear OA(25639, 283, F256, 26) (dual of [283, 244, 27]-code) | [i] | ✔ | |
| 58 | Linear OA(25641, 285, F256, 27) (dual of [285, 244, 28]-code) | [i] | ✔ | |
| 59 | Linear OA(25643, 287, F256, 28) (dual of [287, 244, 29]-code) | [i] | ✔ | |
| 60 | Linear OA(25645, 289, F256, 29) (dual of [289, 244, 30]-code) | [i] | ✔ | |
| 61 | Linear OA(25647, 291, F256, 30) (dual of [291, 244, 31]-code) | [i] | ✔ | |
| 62 | Linear OA(25649, 293, F256, 31) (dual of [293, 244, 32]-code) | [i] | ✔ | |
| 63 | Linear OA(25651, 295, F256, 32) (dual of [295, 244, 33]-code) | [i] | ✔ | |
| 64 | Linear OA(25653, 297, F256, 33) (dual of [297, 244, 34]-code) | [i] | ✔ | |
| 65 | Linear OA(25655, 299, F256, 34) (dual of [299, 244, 35]-code) | [i] | ✔ | |
| 66 | Linear OA(25657, 301, F256, 35) (dual of [301, 244, 36]-code) | [i] | ✔ | |
| 67 | Linear OA(25659, 303, F256, 36) (dual of [303, 244, 37]-code) | [i] | ✔ | |
| 68 | Linear OA(25668, 537, F256, 48) (dual of [537, 469, 49]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 69 | Linear OA(25667, 537, F256, 47) (dual of [537, 470, 48]-code) | [i] | ||
| 70 | Linear OA(25666, 537, F256, 46) (dual of [537, 471, 47]-code) | [i] | ||
| 71 | Linear OA(25665, 537, F256, 45) (dual of [537, 472, 46]-code) | [i] | ||
| 72 | Linear OA(25664, 537, F256, 44) (dual of [537, 473, 45]-code) | [i] | ||
| 73 | Linear OA(25663, 537, F256, 43) (dual of [537, 474, 44]-code) | [i] | ||
| 74 | Linear OA(25662, 537, F256, 42) (dual of [537, 475, 43]-code) | [i] | ||
| 75 | Linear OA(25661, 537, F256, 41) (dual of [537, 476, 42]-code) | [i] | ||
| 76 | Linear OA(25660, 537, F256, 40) (dual of [537, 477, 41]-code) | [i] | ||
| 77 | Linear OA(25659, 537, F256, 39) (dual of [537, 478, 40]-code) | [i] | ||
| 78 | Linear OA(25658, 537, F256, 38) (dual of [537, 479, 39]-code) | [i] | ||
| 79 | Linear OA(25657, 537, F256, 37) (dual of [537, 480, 38]-code) | [i] | ||
| 80 | Linear OA(25656, 537, F256, 36) (dual of [537, 481, 37]-code) | [i] | ||
| 81 | Linear OA(25655, 537, F256, 35) (dual of [537, 482, 36]-code) | [i] | ||
| 82 | Linear OA(25654, 537, F256, 34) (dual of [537, 483, 35]-code) | [i] | ||
| 83 | Linear OA(25653, 537, F256, 33) (dual of [537, 484, 34]-code) | [i] | ||
| 84 | Linear OA(25667, 65574, F256, 28) (dual of [65574, 65507, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 85 | Linear OA(25665, 65574, F256, 27) (dual of [65574, 65509, 28]-code) | [i] | ||
| 86 | Linear OA(25663, 65574, F256, 26) (dual of [65574, 65511, 27]-code) | [i] | ||