Information on Result #671022
Linear OA(12870, 506, F128, 37) (dual of [506, 436, 38]-code), using (u, u+v)-construction based on
- linear OA(12824, 218, F128, 18) (dual of [218, 194, 19]-code), using
- construction X applied to AG(F,196P) ⊂ AG(F,198P) [i] based on
- linear OA(12823, 215, F128, 18) (dual of [215, 192, 19]-code), using algebraic-geometric code AG(F,196P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12821, 215, F128, 16) (dual of [215, 194, 17]-code), using algebraic-geometric code AG(F,198P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,196P) ⊂ AG(F,198P) [i] based on
- linear OA(12846, 288, F128, 37) (dual of [288, 242, 38]-code), using
- extended algebraic-geometric code AGe(F,250P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, 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 OOA(12870, 253, F128, 2, 37) (dual of [(253, 2), 436, 38]-NRT-code) | [i] | OOA Folding | |