Information on Result #657744
Linear OA(25628, 257, F256, 28) (dual of [257, 229, 29]-code or 257-arc in PG(27,256)), using algebraic-geometric code AG(F,114P) with degPÂ =Â 2 based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
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
- Extended Reed–Solomon Code [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1656, 514, F16, 28) (dual of [514, 458, 29]-code) | [i] | Trace Code | |
| 2 | OA(3245, 257, S32, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6438, 257, S64, 28) | [i] | ||
| 4 | OA(12832, 257, S128, 28) | [i] | ||
| 5 | Linear OA(25642, 514, F256, 28) (dual of [514, 472, 29]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25631, 260, F256, 30) (dual of [260, 229, 31]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 7 | Linear OA(25629, 260, F256, 28) (dual of [260, 231, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(25635, 264, F256, 32) (dual of [264, 229, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(25631, 264, F256, 28) (dual of [264, 233, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(25639, 268, F256, 34) (dual of [268, 229, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(25633, 268, F256, 28) (dual of [268, 235, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(25643, 272, F256, 36) (dual of [272, 229, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(25635, 272, F256, 28) (dual of [272, 237, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(25647, 276, F256, 38) (dual of [276, 229, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(25637, 276, F256, 28) (dual of [276, 239, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(25651, 280, F256, 40) (dual of [280, 229, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(25639, 280, F256, 28) (dual of [280, 241, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(25655, 284, F256, 42) (dual of [284, 229, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(25641, 284, F256, 28) (dual of [284, 243, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(25659, 288, F256, 44) (dual of [288, 229, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(25643, 288, F256, 28) (dual of [288, 245, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(25663, 292, F256, 46) (dual of [292, 229, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(25645, 292, F256, 28) (dual of [292, 247, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(25667, 296, F256, 48) (dual of [296, 229, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(25633, 262, F256, 31) (dual of [262, 229, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(25630, 262, F256, 28) (dual of [262, 232, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(25645, 274, F256, 37) (dual of [274, 229, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(25636, 274, F256, 28) (dual of [274, 238, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(25657, 286, F256, 43) (dual of [286, 229, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(25642, 286, F256, 28) (dual of [286, 244, 29]-code) | [i] | ✔ | |
| 31 | Linear OA(25637, 266, F256, 33) (dual of [266, 229, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(25632, 266, F256, 28) (dual of [266, 234, 29]-code) | [i] | ✔ | |