Information on Result #671890
Linear OA(2569, 65538, F256, 5) (dual of [65538, 65529, 6]-code), using (u, u+v)-construction based on
- linear OA(2562, 257, F256, 2) (dual of [257, 255, 3]-code or 257-arc in PG(1,256)), using
- extended Reed–Solomon code RSe(255,256) [i]
- Hamming code H(2,256) [i]
- algebraic-geometric code AG(F,127P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(3215, 65538, S32, 5) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6412, 65538, S64, 5) | [i] | ||
| 3 | OA(12811, 65538, S128, 5) | [i] | ||
| 4 | Linear OA(25630, 131076, F256, 11) (dual of [131076, 131046, 12]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OOA(2569, 32769, F256, 2, 5) (dual of [(32769, 2), 65529, 6]-NRT-code) | [i] | OOA Folding | |