Information on Result #687053
Linear OA(889, 4097, F8, 25) (dual of [4097, 4008, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)
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(889, 3829, F8, 2, 25) (dual of [(3829, 2), 7569, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(889, 3829, F8, 3, 25) (dual of [(3829, 3), 11398, 26]-NRT-code) | [i] | ||
| 3 | Digital (64, 89, 3829)-net over F8 | [i] | ||
| 4 | Linear OA(898, 4106, F8, 27) (dual of [4106, 4008, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(890, 4106, F8, 25) (dual of [4106, 4016, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(8109, 4117, F8, 29) (dual of [4117, 4008, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(893, 4117, F8, 25) (dual of [4117, 4024, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(8125, 4126, F8, 33) (dual of [4126, 4001, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(8126, 4134, F8, 33) (dual of [4134, 4008, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(8124, 4132, F8, 32) (dual of [4132, 4008, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(8120, 4128, F8, 31) (dual of [4128, 4008, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(896, 4128, F8, 25) (dual of [4128, 4032, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(8136, 4144, F8, 35) (dual of [4144, 4008, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(8123, 4131, F8, 32) (dual of [4131, 4008, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(8125, 4129, F8, 33) (dual of [4129, 4004, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(8124, 4127, F8, 33) (dual of [4127, 4003, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(8123, 4125, F8, 33) (dual of [4125, 4002, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(8122, 4123, F8, 33) (dual of [4123, 4001, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(8119, 4120, F8, 31) (dual of [4120, 4001, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(8108, 4109, F8, 29) (dual of [4109, 4001, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(8111, 4120, F8, 29) (dual of [4120, 4009, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(8100, 4109, F8, 27) (dual of [4109, 4009, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(892, 4109, F8, 25) (dual of [4109, 4017, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(895, 4120, F8, 25) (dual of [4120, 4025, 26]-code) | [i] | ✔ | |