Information on Result #606746
Linear OA(25623, 256, F256, 23) (dual of [256, 233, 24]-code or 256-arc in PG(22,256)), using Reed–Solomon code RS(233,256)
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(1682, 108, F16, 47) (dual of [108, 26, 48]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(1681, 105, F16, 47) (dual of [105, 24, 48]-code) | [i] | ||
| 3 | Linear OA(25626, 259, F256, 25) (dual of [259, 233, 26]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 4 | Linear OA(25624, 259, F256, 23) (dual of [259, 235, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(25628, 261, F256, 26) (dual of [261, 233, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(25625, 261, F256, 23) (dual of [261, 236, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(25630, 263, F256, 27) (dual of [263, 233, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(25626, 263, F256, 23) (dual of [263, 237, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(25632, 265, F256, 28) (dual of [265, 233, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(25627, 265, F256, 23) (dual of [265, 238, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(25634, 267, F256, 29) (dual of [267, 233, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(25628, 267, F256, 23) (dual of [267, 239, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(25636, 269, F256, 30) (dual of [269, 233, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(25629, 269, F256, 23) (dual of [269, 240, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(25638, 271, F256, 31) (dual of [271, 233, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(25630, 271, F256, 23) (dual of [271, 241, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(25640, 273, F256, 32) (dual of [273, 233, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(25631, 273, F256, 23) (dual of [273, 242, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(25642, 275, F256, 33) (dual of [275, 233, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(25632, 275, F256, 23) (dual of [275, 243, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(25644, 277, F256, 34) (dual of [277, 233, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(25633, 277, F256, 23) (dual of [277, 244, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(25646, 279, F256, 35) (dual of [279, 233, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(25634, 279, F256, 23) (dual of [279, 245, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(25648, 281, F256, 36) (dual of [281, 233, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(25635, 281, F256, 23) (dual of [281, 246, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(25650, 283, F256, 37) (dual of [283, 233, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(25636, 283, F256, 23) (dual of [283, 247, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(25652, 285, F256, 38) (dual of [285, 233, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(25637, 285, F256, 23) (dual of [285, 248, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(25654, 287, F256, 39) (dual of [287, 233, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(25656, 289, F256, 40) (dual of [289, 233, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(25658, 291, F256, 41) (dual of [291, 233, 42]-code) | [i] | ✔ | |
| 34 | Linear OA(25660, 293, F256, 42) (dual of [293, 233, 43]-code) | [i] | ✔ | |
| 35 | Linear OA(25662, 295, F256, 43) (dual of [295, 233, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(25664, 297, F256, 44) (dual of [297, 233, 45]-code) | [i] | ✔ | |
| 37 | Linear OA(25666, 299, F256, 45) (dual of [299, 233, 46]-code) | [i] | ✔ | |
| 38 | Linear OA(25668, 301, F256, 46) (dual of [301, 233, 47]-code) | [i] | ✔ | |
| 39 | Linear OA(25668, 303, F256, 45) (dual of [303, 235, 46]-code) | [i] | ||
| 40 | Linear OA(25667, 303, F256, 44) (dual of [303, 236, 45]-code) | [i] | ||
| 41 | Linear OA(25666, 303, F256, 43) (dual of [303, 237, 44]-code) | [i] | ||
| 42 | Linear OA(25665, 303, F256, 42) (dual of [303, 238, 43]-code) | [i] | ||
| 43 | Linear OA(25664, 303, F256, 41) (dual of [303, 239, 42]-code) | [i] | ||
| 44 | Linear OA(25663, 303, F256, 40) (dual of [303, 240, 41]-code) | [i] | ||
| 45 | Linear OA(25662, 303, F256, 39) (dual of [303, 241, 40]-code) | [i] | ||
| 46 | Linear OA(25661, 303, F256, 38) (dual of [303, 242, 39]-code) | [i] | ||
| 47 | Linear OA(25660, 303, F256, 37) (dual of [303, 243, 38]-code) | [i] | ||
| 48 | Linear OA(25659, 303, F256, 36) (dual of [303, 244, 37]-code) | [i] | ||
| 49 | Linear OA(25667, 304, F256, 44) (dual of [304, 237, 45]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 50 | Linear OA(25665, 304, F256, 42) (dual of [304, 239, 43]-code) | [i] | ||
| 51 | Linear OA(25663, 304, F256, 40) (dual of [304, 241, 41]-code) | [i] | ||
| 52 | Linear OA(25661, 304, F256, 38) (dual of [304, 243, 39]-code) | [i] | ||
| 53 | Linear OA(25659, 304, F256, 36) (dual of [304, 245, 37]-code) | [i] | ||
| 54 | Linear OA(25668, 304, F256, 45) (dual of [304, 236, 46]-code) | [i] | ||
| 55 | Linear OA(25666, 304, F256, 43) (dual of [304, 238, 44]-code) | [i] | ||
| 56 | Linear OA(25664, 304, F256, 41) (dual of [304, 240, 42]-code) | [i] | ||
| 57 | Linear OA(25662, 304, F256, 39) (dual of [304, 242, 40]-code) | [i] | ||
| 58 | Linear OA(25660, 304, F256, 37) (dual of [304, 244, 38]-code) | [i] | ||