Information on Result #611127
Linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, 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(2108, 4095, F2, 18) (dual of [4095, 3987, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2110, 4109, F2, 19) (dual of [4109, 3999, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2139, 4126, F2, 23) (dual of [4126, 3987, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2115, 4126, F2, 19) (dual of [4126, 4011, 20]-code) | [i] | ✔ | |
| 6 | Linear OOA(2109, 2048, F2, 2, 19) (dual of [(2048, 2), 3987, 20]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2109, 1365, F2, 3, 19) (dual of [(1365, 3), 3986, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(2109, 1024, F2, 4, 19) (dual of [(1024, 4), 3987, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2109, 819, F2, 5, 19) (dual of [(819, 5), 3986, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2109, 682, F2, 6, 19) (dual of [(682, 6), 3983, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2109, 585, F2, 7, 19) (dual of [(585, 7), 3986, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2109, 512, F2, 8, 19) (dual of [(512, 8), 3987, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2109, 455, F2, 19, 19) (dual of [(455, 19), 8536, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |