Information on Result #691693
Linear OA(16121, 1048621, F16, 24) (dual of [1048621, 1048500, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1610, 45, F16, 6) (dual of [45, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 85, F16, 6) (dual of [85, 75, 7]-code), 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(16122, 1048622, F16, 24) (dual of [1048622, 1048500, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(16123, 1048623, F16, 24) (dual of [1048623, 1048500, 25]-code) | [i] | ||
| 3 | Linear OOA(16121, 524310, F16, 2, 24) (dual of [(524310, 2), 1048499, 25]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(16121, 87385, F16, 24, 24) (dual of [(87385, 24), 2097119, 25]-NRT-code) | [i] | OA Folding and Stacking | |