Information on Result #658001
Linear OA(25629, 257, F256, 29) (dual of [257, 228, 30]-code or 257-arc in PG(28,256)), using algebraic-geometric code AG(F, Q+112P) with degQ = 3 and 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]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [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(1658, 514, F16, 29) (dual of [514, 456, 30]-code) | [i] | Trace Code | |
| 2 | OA(3247, 257, S32, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6439, 257, S64, 29) | [i] | ||
| 4 | OA(12834, 257, S128, 29) | [i] | ||
| 5 | Linear OA(25643, 514, F256, 29) (dual of [514, 471, 30]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25632, 260, F256, 31) (dual of [260, 228, 32]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 7 | Linear OA(25630, 260, F256, 29) (dual of [260, 230, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(25636, 264, F256, 33) (dual of [264, 228, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(25632, 264, F256, 29) (dual of [264, 232, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(25640, 268, F256, 35) (dual of [268, 228, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(25634, 268, F256, 29) (dual of [268, 234, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(25644, 272, F256, 37) (dual of [272, 228, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(25636, 272, F256, 29) (dual of [272, 236, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(25648, 276, F256, 39) (dual of [276, 228, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(25638, 276, F256, 29) (dual of [276, 238, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(25652, 280, F256, 41) (dual of [280, 228, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(25640, 280, F256, 29) (dual of [280, 240, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(25656, 284, F256, 43) (dual of [284, 228, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(25642, 284, F256, 29) (dual of [284, 242, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(25660, 288, F256, 45) (dual of [288, 228, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(25644, 288, F256, 29) (dual of [288, 244, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(25664, 292, F256, 47) (dual of [292, 228, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(25646, 292, F256, 29) (dual of [292, 246, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(25668, 296, F256, 49) (dual of [296, 228, 50]-code) | [i] | ✔ | |
| 25 | Linear OA(25634, 262, F256, 32) (dual of [262, 228, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(25631, 262, F256, 29) (dual of [262, 231, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(25646, 274, F256, 38) (dual of [274, 228, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(25637, 274, F256, 29) (dual of [274, 237, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(25658, 286, F256, 44) (dual of [286, 228, 45]-code) | [i] | ✔ | |
| 30 | Linear OA(25643, 286, F256, 29) (dual of [286, 243, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(25638, 266, F256, 34) (dual of [266, 228, 35]-code) | [i] | ✔ | |
| 32 | Linear OA(25633, 266, F256, 29) (dual of [266, 233, 30]-code) | [i] | ✔ | |