Information on Result #691566
Linear OA(16101, 1048581, F16, 22) (dual of [1048581, 1048480, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(16118, 1048646, F16, 22) (dual of [1048646, 1048528, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16119, 1048648, F16, 22) (dual of [1048648, 1048529, 23]-code) | [i] | ||
| 3 | Linear OA(16120, 1048666, F16, 22) (dual of [1048666, 1048546, 23]-code) | [i] | ||
| 4 | Linear OOA(16101, 524290, F16, 2, 22) (dual of [(524290, 2), 1048479, 23]-NRT-code) | [i] | OOA Folding | |