Information on Result #672628
Linear OA(2105, 32767, F2, 14) (dual of [32767, 32662, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(2105, 16383, F2, 2, 14) (dual of [(16383, 2), 32661, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2105, 10922, F2, 3, 14) (dual of [(10922, 3), 32661, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2105, 8191, F2, 4, 14) (dual of [(8191, 4), 32659, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2105, 6553, F2, 5, 14) (dual of [(6553, 5), 32660, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(2105, 5461, F2, 6, 14) (dual of [(5461, 6), 32661, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2105, 4681, F2, 7, 14) (dual of [(4681, 7), 32662, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(2105, 4681, F2, 8, 14) (dual of [(4681, 8), 37343, 15]-NRT-code) | [i] | OA Folding and Stacking | |
| 9 | Linear OOA(2105, 4681, F2, 14, 14) (dual of [(4681, 14), 65429, 15]-NRT-code) | [i] | ||