Information on Result #669327
Linear OA(4912, 100, F49, 8) (dual of [100, 88, 9]-code), using (u, u+v)-construction based on
- linear OA(494, 50, F49, 4) (dual of [50, 46, 5]-code or 50-arc in PG(3,49)), using
- extended Reed–Solomon code RSe(46,49) [i]
- algebraic-geometric code AG(F, Q+21P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- algebraic-geometric code AG(F,15P) with degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(498, 50, F49, 8) (dual of [50, 42, 9]-code or 50-arc in PG(7,49)), using
- extended Reed–Solomon code RSe(42,49) [i]
- algebraic-geometric code AG(F, Q+19P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F, Q+13P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F, Q+7P) with degQ = 6 and degPÂ =Â 5 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
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(4945, 2501, F49, 17) (dual of [2501, 2456, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4943, 2500, F49, 16) (dual of [2500, 2457, 17]-code) | [i] | ||
| 3 | Linear OA(4945, 2502, F49, 17) (dual of [2502, 2457, 18]-code) | [i] | ||
| 4 | Linear OA(4943, 2501, F49, 16) (dual of [2501, 2458, 17]-code) | [i] | ||
| 5 | Linear OA(4945, 2503, F49, 17) (dual of [2503, 2458, 18]-code) | [i] | ||
| 6 | Linear OA(4943, 2503, F49, 16) (dual of [2503, 2460, 17]-code) | [i] | ||