Information on Result #646119
Linear OA(2527, 128, F25, 16) (dual of [128, 101, 17]-code), using construction X applied to AG(F,108P) ⊂ AG(F,110P) based on
- linear OA(2526, 125, F25, 16) (dual of [125, 99, 17]-code), using algebraic-geometric code AG(F,108P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OA(2524, 125, F25, 14) (dual of [125, 101, 15]-code), using algebraic-geometric code AG(F,110P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (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, 753, F25, 33) (dual of [753, 664, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2587, 753, F25, 32) (dual of [753, 666, 33]-code) | [i] | ||
| 3 | Linear OA(2589, 756, F25, 33) (dual of [756, 667, 34]-code) | [i] | ||
| 4 | Linear OA(2590, 759, F25, 33) (dual of [759, 669, 34]-code) | [i] | ||
| 5 | Linear OA(2587, 756, F25, 32) (dual of [756, 669, 33]-code) | [i] | ||
| 6 | Linear OA(2588, 759, F25, 32) (dual of [759, 671, 33]-code) | [i] | ||
| 7 | Linear OOA(2527, 64, F25, 2, 16) (dual of [(64, 2), 101, 17]-NRT-code) | [i] | OOA Folding | |