Information on Result #645943
Linear OA(2529, 74, F25, 21) (dual of [74, 45, 22]-code), using construction X applied to AG(F,43P) ⊂ AG(F,48P) based on
- linear OA(2525, 65, F25, 21) (dual of [65, 40, 22]-code), using algebraic-geometric code AG(F,43P) [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(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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(558, 148, F5, 21) (dual of [148, 90, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(25109, 699, F25, 42) (dual of [699, 590, 43]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(2529, 37, F25, 2, 21) (dual of [(37, 2), 45, 22]-NRT-code) | [i] | OOA Folding | |