Information on Result #611311
Linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(2195, 8191, F2, 30) (dual of [8191, 7996, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(2210, 8206, F2, 33) (dual of [8206, 7996, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2197, 8206, F2, 31) (dual of [8206, 8009, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2228, 8224, F2, 35) (dual of [8224, 7996, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2248, 8244, F2, 37) (dual of [8244, 7996, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2209, 8244, F2, 31) (dual of [8244, 8035, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2247, 8237, F2, 37) (dual of [8237, 7990, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2208, 8237, F2, 31) (dual of [8237, 8029, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2247, 8240, F2, 37) (dual of [8240, 7993, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2208, 8240, F2, 31) (dual of [8240, 8032, 32]-code) | [i] | ✔ | |
| 12 | Linear OOA(2196, 4096, F2, 2, 31) (dual of [(4096, 2), 7996, 32]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2196, 2730, F2, 3, 31) (dual of [(2730, 3), 7994, 32]-NRT-code) | [i] | ||
| 14 | Linear OOA(2196, 2048, F2, 4, 31) (dual of [(2048, 4), 7996, 32]-NRT-code) | [i] | ||
| 15 | Linear OOA(2196, 1638, F2, 5, 31) (dual of [(1638, 5), 7994, 32]-NRT-code) | [i] | ||
| 16 | Linear OOA(2196, 1365, F2, 6, 31) (dual of [(1365, 6), 7994, 32]-NRT-code) | [i] | ||
| 17 | Linear OOA(2196, 1170, F2, 7, 31) (dual of [(1170, 7), 7994, 32]-NRT-code) | [i] | ||
| 18 | Linear OOA(2196, 1024, F2, 8, 31) (dual of [(1024, 8), 7996, 32]-NRT-code) | [i] | ||
| 19 | Linear OOA(2196, 546, F2, 31, 31) (dual of [(546, 31), 16730, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |