Information on Result #614854
Linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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 OOA(833, 2199, F8, 2, 10) (dual of [(2199, 2), 4365, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(833, 2199, F8, 3, 10) (dual of [(2199, 3), 6564, 11]-NRT-code) | [i] | ||
| 3 | Digital (23, 33, 2199)-net over F8 | [i] | ||
| 4 | Linear OA(837, 4100, F8, 11) (dual of [4100, 4063, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(833, 4100, F8, 10) (dual of [4100, 4067, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(842, 4105, F8, 12) (dual of [4105, 4063, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(835, 4105, F8, 10) (dual of [4105, 4070, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(836, 4107, F8, 10) (dual of [4107, 4071, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(848, 4111, F8, 13) (dual of [4111, 4063, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(837, 4112, F8, 10) (dual of [4112, 4075, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(853, 4116, F8, 14) (dual of [4116, 4063, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(865, 4125, F8, 17) (dual of [4125, 4060, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(847, 4107, F8, 13) (dual of [4107, 4060, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code) | [i] | ✔ | |