Information on Result #672844
Linear OA(2121, 4096, F2, 21) (dual of [4096, 3975, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2134, 4109, F2, 23) (dual of [4109, 3975, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2169, 4141, F2, 27) (dual of [4141, 3972, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2169, 4144, F2, 27) (dual of [4144, 3975, 28]-code) | [i] | ✔ | |
| 5 | Linear OOA(2121, 2048, F2, 2, 21) (dual of [(2048, 2), 3975, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2121, 1365, F2, 3, 21) (dual of [(1365, 3), 3974, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2121, 1024, F2, 4, 21) (dual of [(1024, 4), 3975, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2121, 819, F2, 5, 21) (dual of [(819, 5), 3974, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2121, 682, F2, 6, 21) (dual of [(682, 6), 3971, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2121, 585, F2, 7, 21) (dual of [(585, 7), 3974, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2121, 512, F2, 8, 21) (dual of [(512, 8), 3975, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2121, 409, F2, 21, 21) (dual of [(409, 21), 8468, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |