Information on Result #672456
Linear OA(2137, 131072, F2, 17) (dual of [131072, 130935, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2155, 131090, F2, 19) (dual of [131090, 130935, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2138, 131090, F2, 17) (dual of [131090, 130952, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(2138, 131091, F2, 17) (dual of [131091, 130953, 18]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(2137, 65536, F2, 2, 17) (dual of [(65536, 2), 130935, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2137, 32768, F2, 4, 17) (dual of [(32768, 4), 130935, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2137, 26214, F2, 5, 17) (dual of [(26214, 5), 130933, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2137, 21845, F2, 6, 17) (dual of [(21845, 6), 130933, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2137, 18724, F2, 7, 17) (dual of [(18724, 7), 130931, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2137, 16384, F2, 8, 17) (dual of [(16384, 8), 130935, 18]-NRT-code) | [i] | ||