Information on Result #672627
Linear OA(2121, 32767, F2, 17) (dual of [32767, 32646, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18
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(2122, 32785, F2, 16) (dual of [32785, 32663, 17]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 2 | Linear OOA(2121, 6553, F2, 5, 17) (dual of [(6553, 5), 32644, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2121, 5461, F2, 6, 17) (dual of [(5461, 6), 32645, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2121, 4681, F2, 7, 17) (dual of [(4681, 7), 32646, 18]-NRT-code) | [i] | ||