Information on Result #611058
Linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, 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(2119, 131071, F2, 14) (dual of [131071, 130952, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(2138, 131090, F2, 17) (dual of [131090, 130952, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2121, 131090, F2, 15) (dual of [131090, 130969, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2160, 131104, F2, 19) (dual of [131104, 130944, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2161, 131113, F2, 19) (dual of [131113, 130952, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(2126, 131104, F2, 15) (dual of [131104, 130978, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(2138, 131091, F2, 17) (dual of [131091, 130953, 18]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2121, 131091, F2, 15) (dual of [131091, 130970, 16]-code) | [i] | ✔ | |
| 9 | Linear OOA(2120, 65536, F2, 2, 15) (dual of [(65536, 2), 130952, 16]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2120, 43690, F2, 3, 15) (dual of [(43690, 3), 130950, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2120, 32768, F2, 4, 15) (dual of [(32768, 4), 130952, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2120, 26214, F2, 5, 15) (dual of [(26214, 5), 130950, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2120, 21845, F2, 6, 15) (dual of [(21845, 6), 130950, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2120, 18724, F2, 7, 15) (dual of [(18724, 7), 130948, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2120, 18724, F2, 8, 15) (dual of [(18724, 8), 149672, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 16 | Linear OOA(2120, 18724, F2, 15, 15) (dual of [(18724, 15), 280740, 16]-NRT-code) | [i] | ||