Information on Result #611388
Linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(2228, 4095, F2, 38) (dual of [4095, 3867, 39]-code) | [i] | Truncation | |
| 2 | Linear OA(2242, 4109, F2, 41) (dual of [4109, 3867, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2230, 4109, F2, 39) (dual of [4109, 3879, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2259, 4126, F2, 43) (dual of [4126, 3867, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(2235, 4126, F2, 39) (dual of [4126, 3891, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2242, 4145, F2, 39) (dual of [4145, 3903, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2241, 4141, F2, 39) (dual of [4141, 3900, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2241, 4144, F2, 39) (dual of [4144, 3903, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(2247, 4160, F2, 39) (dual of [4160, 3913, 40]-code) | [i] | ✔ | |
| 10 | Linear OOA(2229, 2048, F2, 2, 39) (dual of [(2048, 2), 3867, 40]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2229, 1365, F2, 3, 39) (dual of [(1365, 3), 3866, 40]-NRT-code) | [i] | ||
| 12 | Linear OOA(2229, 1024, F2, 4, 39) (dual of [(1024, 4), 3867, 40]-NRT-code) | [i] | ||
| 13 | Linear OOA(2229, 819, F2, 5, 39) (dual of [(819, 5), 3866, 40]-NRT-code) | [i] | ||
| 14 | Linear OOA(2229, 682, F2, 6, 39) (dual of [(682, 6), 3863, 40]-NRT-code) | [i] | ||
| 15 | Linear OOA(2229, 585, F2, 7, 39) (dual of [(585, 7), 3866, 40]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 512, F2, 8, 39) (dual of [(512, 8), 3867, 40]-NRT-code) | [i] | ||