Information on Result #692597
Linear OA(1685, 281, F16, 43) (dual of [281, 196, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,17]) based on
- linear OA(1677, 257, F16, 43) (dual of [257, 180, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(1661, 257, F16, 35) (dual of [257, 196, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [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 OOA(1685, 140, F16, 2, 43) (dual of [(140, 2), 195, 44]-NRT-code) | [i] | OOA Folding | |