Information on Result #691550
Linear OA(1665, 1048601, F16, 13) (dual of [1048601, 1048536, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(1661, 1048577, F16, 13) (dual of [1048577, 1048516, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1641, 1048577, F16, 9) (dual of [1048577, 1048536, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), 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(1666, 1048602, F16, 13) (dual of [1048602, 1048536, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1665, 524300, F16, 2, 13) (dual of [(524300, 2), 1048535, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1665, 174766, F16, 13, 13) (dual of [(174766, 13), 2271893, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |