Information on Result #658402
Linear OA(25621, 257, F256, 21) (dual of [257, 236, 22]-code or 257-arc in PG(20,256)), using algebraic-geometric code AG(F, Q+77P) 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]
- 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(1642, 514, F16, 21) (dual of [514, 472, 22]-code) | [i] | Trace Code | |
| 2 | OA(3234, 257, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6428, 257, S64, 21) | [i] | ||
| 4 | OA(12824, 257, S128, 21) | [i] | ||
| 5 | Linear OA(25664, 514, F256, 43) (dual of [514, 450, 44]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25665, 517, F256, 43) (dual of [517, 452, 44]-code) | [i] | ||
| 7 | Linear OA(25663, 514, F256, 42) (dual of [514, 451, 43]-code) | [i] | ||
| 8 | Linear OA(25664, 517, F256, 42) (dual of [517, 453, 43]-code) | [i] | ||
| 9 | Linear OA(25631, 514, F256, 21) (dual of [514, 483, 22]-code) | [i] | ||
| 10 | Linear OA(25665, 546, F256, 43) (dual of [546, 481, 44]-code) | [i] | ||
| 11 | Linear OA(25664, 546, F256, 42) (dual of [546, 482, 43]-code) | [i] | ||