Information on Result #691957
Linear OA(16118, 4142, F16, 37) (dual of [4142, 4024, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,12]) based on
- 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(1673, 4097, F16, 25) (dual of [4097, 4024, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(1615, 45, F16, 11) (dual of [45, 30, 12]-code), using
- extended algebraic-geometric code AGe(F,33P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(16118, 2071, F16, 2, 37) (dual of [(2071, 2), 4024, 38]-NRT-code) | [i] | OOA Folding | |