Information on Result #606749
Linear OA(25626, 256, F256, 26) (dual of [256, 230, 27]-code or 256-arc in PG(25,256)), using Reed–Solomon code RS(230,256)
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(4173, 345, F4, 53) (dual of [345, 172, 54]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(25629, 259, F256, 28) (dual of [259, 230, 29]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 3 | Linear OA(25627, 259, F256, 26) (dual of [259, 232, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(25631, 261, F256, 29) (dual of [261, 230, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(25628, 261, F256, 26) (dual of [261, 233, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(25633, 263, F256, 30) (dual of [263, 230, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(25629, 263, F256, 26) (dual of [263, 234, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(25635, 265, F256, 31) (dual of [265, 230, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(25630, 265, F256, 26) (dual of [265, 235, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(25637, 267, F256, 32) (dual of [267, 230, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(25631, 267, F256, 26) (dual of [267, 236, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(25639, 269, F256, 33) (dual of [269, 230, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(25632, 269, F256, 26) (dual of [269, 237, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(25641, 271, F256, 34) (dual of [271, 230, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(25633, 271, F256, 26) (dual of [271, 238, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(25643, 273, F256, 35) (dual of [273, 230, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(25634, 273, F256, 26) (dual of [273, 239, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(25645, 275, F256, 36) (dual of [275, 230, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(25635, 275, F256, 26) (dual of [275, 240, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(25647, 277, F256, 37) (dual of [277, 230, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(25636, 277, F256, 26) (dual of [277, 241, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(25649, 279, F256, 38) (dual of [279, 230, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(25637, 279, F256, 26) (dual of [279, 242, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(25651, 281, F256, 39) (dual of [281, 230, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(25638, 281, F256, 26) (dual of [281, 243, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(25653, 283, F256, 40) (dual of [283, 230, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(25639, 283, F256, 26) (dual of [283, 244, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(25655, 285, F256, 41) (dual of [285, 230, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(25640, 285, F256, 26) (dual of [285, 245, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(25657, 287, F256, 42) (dual of [287, 230, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(25641, 287, F256, 26) (dual of [287, 246, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(25659, 289, F256, 43) (dual of [289, 230, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(25642, 289, F256, 26) (dual of [289, 247, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(25661, 291, F256, 44) (dual of [291, 230, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(25663, 293, F256, 45) (dual of [293, 230, 46]-code) | [i] | ✔ | |
| 36 | Linear OA(25665, 295, F256, 46) (dual of [295, 230, 47]-code) | [i] | ✔ | |
| 37 | Linear OA(25667, 297, F256, 47) (dual of [297, 230, 48]-code) | [i] | ✔ | |
| 38 | Linear OA(25668, 309, F256, 42) (dual of [309, 241, 43]-code) | [i] | ||
| 39 | Linear OA(25667, 309, F256, 41) (dual of [309, 242, 42]-code) | [i] | ||
| 40 | Linear OA(25667, 310, F256, 41) (dual of [310, 243, 42]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 41 | Linear OA(25668, 310, F256, 42) (dual of [310, 242, 43]-code) | [i] | ||