Information on Result #661551
Linear OA(5125, 145, F5, 75) (dual of [145, 20, 76]-code), using concatenation of two codes based on
- 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) [i] 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
- construction X applied to AG(F, Q+2P) ⊂ AG(F, Q+3P) [i] based on
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
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(5125, 48, F5, 3, 75) (dual of [(48, 3), 19, 76]-NRT-code) | [i] | OOA Folding | |