Information on Result #658467
Linear OA(25616, 257, F256, 16) (dual of [257, 241, 17]-code or 257-arc in PG(15,256)), using algebraic-geometric code AG(F,48P) with degPÂ =Â 5 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(1632, 514, F16, 16) (dual of [514, 482, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(1631, 257, F16, 16) (dual of [257, 226, 17]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(3226, 257, S32, 16) | [i] | Discarding Parts of the Base for OAs | |
| 4 | OA(6422, 257, S64, 16) | [i] | ||
| 5 | OA(12819, 257, S128, 16) | [i] | ||
| 6 | Linear OA(25649, 514, F256, 33) (dual of [514, 465, 34]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(25650, 517, F256, 33) (dual of [517, 467, 34]-code) | [i] | ||
| 8 | Linear OA(25648, 514, F256, 32) (dual of [514, 466, 33]-code) | [i] | ||
| 9 | Linear OA(25649, 517, F256, 32) (dual of [517, 468, 33]-code) | [i] | ||
| 10 | Linear OA(25624, 514, F256, 16) (dual of [514, 490, 17]-code) | [i] | ||
| 11 | Linear OA(25650, 546, F256, 33) (dual of [546, 496, 34]-code) | [i] | ||
| 12 | Linear OA(25649, 546, F256, 32) (dual of [546, 497, 33]-code) | [i] | ||