Information on Result #687184
Linear OA(873, 4096, F8, 21) (dual of [4096, 4023, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, 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 OOA(873, 2984, F8, 2, 21) (dual of [(2984, 2), 5895, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(873, 2984, F8, 3, 21) (dual of [(2984, 3), 8879, 22]-NRT-code) | [i] | ||
| 3 | Digital (52, 73, 2984)-net over F8 | [i] | ||
| 4 | Linear OA(877, 4100, F8, 22) (dual of [4100, 4023, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(873, 4100, F8, 21) (dual of [4100, 4027, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(889, 4112, F8, 25) (dual of [4112, 4023, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(876, 4111, F8, 21) (dual of [4111, 4035, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(895, 4118, F8, 26) (dual of [4118, 4023, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(8100, 4123, F8, 27) (dual of [4123, 4023, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(880, 4123, F8, 21) (dual of [4123, 4043, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(8108, 4131, F8, 28) (dual of [4131, 4023, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(894, 4116, F8, 26) (dual of [4116, 4022, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(8107, 4130, F8, 28) (dual of [4130, 4023, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(8107, 4129, F8, 28) (dual of [4129, 4022, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(8106, 4127, F8, 28) (dual of [4127, 4021, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(8105, 4125, F8, 28) (dual of [4125, 4020, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(8103, 4129, F8, 27) (dual of [4129, 4026, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(8102, 4127, F8, 27) (dual of [4127, 4025, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(8101, 4125, F8, 27) (dual of [4125, 4024, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(894, 4114, F8, 26) (dual of [4114, 4020, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(887, 4107, F8, 24) (dual of [4107, 4020, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(890, 4114, F8, 25) (dual of [4114, 4024, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(881, 4125, F8, 21) (dual of [4125, 4044, 22]-code) | [i] | ✔ | |
| 24 | Linear OOA(873, 409, F8, 21, 21) (dual of [(409, 21), 8516, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |