Information on Result #659611
Linear OA(546, 136, F5, 18) (dual of [136, 90, 19]-code), using trace code based on linear OA(2523, 68, F25, 18) (dual of [68, 45, 19]-code), using
- construction X applied to AG(F,46P) ⊂ AG(F,48P) [i] based on
- linear OA(2522, 65, F25, 18) (dual of [65, 43, 19]-code), using algebraic-geometric code AG(F,46P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2520, 65, F25, 16) (dual of [65, 45, 17]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | Linear OOA(546, 68, F5, 2, 18) (dual of [(68, 2), 90, 19]-NRT-code) | [i] | OOA Folding | |