Information on Result #691900
Linear OA(16127, 4121, F16, 43) (dual of [4121, 3994, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,18]) based on
- linear OA(16121, 4097, F16, 43) (dual of [4097, 3976, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(16103, 4097, F16, 37) (dual of [4097, 3994, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(16128, 4122, F16, 43) (dual of [4122, 3994, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16127, 2060, F16, 2, 43) (dual of [(2060, 2), 3993, 44]-NRT-code) | [i] | OOA Folding | |