Information on Result #658491
Linear OA(25619, 257, F256, 19) (dual of [257, 238, 20]-code or 257-arc in PG(18,256)), using algebraic-geometric code AG(F, Q+47P) with degQ = 2 and 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]
- 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(1638, 514, F16, 19) (dual of [514, 476, 20]-code) | [i] | Trace Code | |
| 2 | OA(3231, 257, S32, 19) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6426, 257, S64, 19) | [i] | ||
| 4 | OA(12822, 257, S128, 19) | [i] | ||
| 5 | Linear OA(25658, 514, F256, 39) (dual of [514, 456, 40]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25659, 517, F256, 39) (dual of [517, 458, 40]-code) | [i] | ||
| 7 | Linear OA(25657, 514, F256, 38) (dual of [514, 457, 39]-code) | [i] | ||
| 8 | Linear OA(25658, 517, F256, 38) (dual of [517, 459, 39]-code) | [i] | ||
| 9 | Linear OA(25628, 514, F256, 19) (dual of [514, 486, 20]-code) | [i] | ||
| 10 | Linear OA(25659, 546, F256, 39) (dual of [546, 487, 40]-code) | [i] | ||
| 11 | Linear OA(25658, 546, F256, 38) (dual of [546, 488, 39]-code) | [i] | ||
| 12 | Linear OA(25633, 780, F256, 19) (dual of [780, 747, 20]-code) | [i] | Varšamov–Edel Lengthening | |