Information on Result #691702
Linear OA(1676, 1048621, F16, 14) (dual of [1048621, 1048545, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1631, 1048576, F16, 7) (dual of [1048576, 1048545, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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 OOA(1676, 524310, F16, 2, 14) (dual of [(524310, 2), 1048544, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1676, 149803, F16, 14, 14) (dual of [(149803, 14), 2097166, 15]-NRT-code) | [i] | OA Folding and Stacking | |