Information on Result #691652
Linear OA(1680, 1048600, F16, 16) (dual of [1048600, 1048520, 17]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
- 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(1656, 1048576, F16, 12) (dual of [1048576, 1048520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(1680, 524300, F16, 2, 16) (dual of [(524300, 2), 1048520, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1680, 131075, F16, 16, 16) (dual of [(131075, 16), 2097120, 17]-NRT-code) | [i] | OA Folding and Stacking | |