Information on Result #691653
Linear OA(1670, 1048600, F16, 14) (dual of [1048600, 1048530, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) 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(1646, 1048576, F16, 10) (dual of [1048576, 1048530, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 OOA(1670, 524300, F16, 2, 14) (dual of [(524300, 2), 1048530, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1670, 149800, F16, 14, 14) (dual of [(149800, 14), 2097130, 15]-NRT-code) | [i] | OA Folding and Stacking | |