Information on Result #691568
Linear OA(1691, 1048581, F16, 20) (dual of [1048581, 1048490, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(16107, 1048646, F16, 20) (dual of [1048646, 1048539, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16108, 1048648, F16, 20) (dual of [1048648, 1048540, 21]-code) | [i] | ||
| 3 | Linear OOA(1691, 524290, F16, 2, 20) (dual of [(524290, 2), 1048489, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(1691, 104858, F16, 20, 20) (dual of [(104858, 20), 2097069, 21]-NRT-code) | [i] | OA Folding and Stacking | |