Information on Result #658404
Linear OA(25618, 257, F256, 18) (dual of [257, 239, 19]-code or 257-arc in PG(17,256)), using algebraic-geometric code AG(F, Q+78P) with degQ = 4 and degPÂ =Â 3 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(1636, 514, F16, 18) (dual of [514, 478, 19]-code) | [i] | Trace Code | |
| 2 | OA(3229, 257, S32, 18) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6424, 257, S64, 18) | [i] | ||
| 4 | OA(12821, 257, S128, 18) | [i] | ||
| 5 | Linear OA(25655, 514, F256, 37) (dual of [514, 459, 38]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25656, 517, F256, 37) (dual of [517, 461, 38]-code) | [i] | ||
| 7 | Linear OA(25654, 514, F256, 36) (dual of [514, 460, 37]-code) | [i] | ||
| 8 | Linear OA(25655, 517, F256, 36) (dual of [517, 462, 37]-code) | [i] | ||
| 9 | Linear OA(25627, 514, F256, 18) (dual of [514, 487, 19]-code) | [i] | ||
| 10 | Linear OA(25656, 546, F256, 37) (dual of [546, 490, 38]-code) | [i] | ||
| 11 | Linear OA(25655, 546, F256, 36) (dual of [546, 491, 37]-code) | [i] | ||