Information on Result #657167
Linear OA(2519, 29, F25, 18) (dual of [29, 10, 19]-code), using construction X applied to AG(F, Q+2P) ⊂ AG(F, Q+3P) based on
- linear OA(2518, 26, F25, 18) (dual of [26, 8, 19]-code or 26-arc in PG(17,25)), using algebraic-geometric code AG(F, Q+2P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- linear OA(2516, 26, F25, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,25)), using algebraic-geometric code AG(F, Q+3P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (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 OA(2589, 654, F25, 37) (dual of [654, 565, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2587, 654, F25, 36) (dual of [654, 567, 37]-code) | [i] | ||
| 3 | Linear OA(5125, 145, F5, 75) (dual of [145, 20, 76]-code) | [i] | Concatenation of Two Codes | |