Information on Result #611132
Linear OA(2154, 131072, F2, 19) (dual of [131072, 130918, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(2153, 131071, F2, 18) (dual of [131071, 130918, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(2172, 131090, F2, 21) (dual of [131090, 130918, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2155, 131090, F2, 19) (dual of [131090, 130935, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2194, 131104, F2, 23) (dual of [131104, 130910, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2195, 131113, F2, 23) (dual of [131113, 130918, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(2160, 131104, F2, 19) (dual of [131104, 130944, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(2161, 131113, F2, 19) (dual of [131113, 130952, 20]-code) | [i] | ✔ | |
| 8 | Linear OOA(2154, 65536, F2, 2, 19) (dual of [(65536, 2), 130918, 20]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2154, 32768, F2, 4, 19) (dual of [(32768, 4), 130918, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2154, 16384, F2, 8, 19) (dual of [(16384, 8), 130918, 20]-NRT-code) | [i] | ||