Information on Result #664885
Linear OA(16113, 4162, F16, 33) (dual of [4162, 4049, 34]-code), using (u, u+v)-construction based on
- linear OA(1622, 65, F16, 16) (dual of [65, 43, 17]-code), using
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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(16113, 2081, F16, 2, 33) (dual of [(2081, 2), 4049, 34]-NRT-code) | [i] | OOA Folding | |