Information on Result #611056
Linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using an extension Ce(14) of 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, 32784, F2, 17) (dual of [32784, 32662, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(2142, 32800, F2, 19) (dual of [32800, 32658, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2143, 32805, F2, 19) (dual of [32805, 32662, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2112, 32800, F2, 15) (dual of [32800, 32688, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(2107, 32785, F2, 15) (dual of [32785, 32678, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 7 | Linear OOA(2106, 16384, F2, 2, 15) (dual of [(16384, 2), 32662, 16]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2106, 10922, F2, 3, 15) (dual of [(10922, 3), 32660, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2106, 8192, F2, 4, 15) (dual of [(8192, 4), 32662, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2106, 6553, F2, 5, 15) (dual of [(6553, 5), 32659, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2106, 5461, F2, 6, 15) (dual of [(5461, 6), 32660, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2106, 4681, F2, 7, 15) (dual of [(4681, 7), 32661, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2106, 4681, F2, 8, 15) (dual of [(4681, 8), 37342, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 14 | Linear OOA(2106, 4681, F2, 15, 15) (dual of [(4681, 15), 70109, 16]-NRT-code) | [i] | ||