Information on Result #644795
Linear OA(1620, 67, F16, 13) (dual of [67, 47, 14]-code), using construction X applied to AG(F,50P) ⊂ AG(F,52P) based on
- linear OA(1619, 64, F16, 13) (dual of [64, 45, 14]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1617, 64, F16, 11) (dual of [64, 47, 12]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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(1674, 581, F16, 27) (dual of [581, 507, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1696, 4163, F16, 27) (dual of [4163, 4067, 28]-code) | [i] | ||
| 3 | Linear OA(1693, 4163, F16, 26) (dual of [4163, 4070, 27]-code) | [i] | ||
| 4 | Linear OA(1696, 4166, F16, 27) (dual of [4166, 4070, 28]-code) | [i] | ||
| 5 | Linear OA(1697, 4170, F16, 27) (dual of [4170, 4073, 28]-code) | [i] | ||
| 6 | Linear OA(1693, 4166, F16, 26) (dual of [4166, 4073, 27]-code) | [i] | ||
| 7 | Linear OOA(1620, 33, F16, 2, 13) (dual of [(33, 2), 46, 14]-NRT-code) | [i] | OOA Folding | |