Information on Result #615188
Linear OA(8137, 4097, F8, 39) (dual of [4097, 3960, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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 OA(8155, 4116, F8, 39) (dual of [4116, 3961, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8146, 4106, F8, 41) (dual of [4106, 3960, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(8138, 4106, F8, 39) (dual of [4106, 3968, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(8157, 4117, F8, 43) (dual of [4117, 3960, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(8141, 4117, F8, 39) (dual of [4117, 3976, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(8168, 4128, F8, 45) (dual of [4128, 3960, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(8144, 4128, F8, 39) (dual of [4128, 3984, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(8152, 4144, F8, 39) (dual of [4144, 3992, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(8167, 4120, F8, 45) (dual of [4120, 3953, 46]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(8169, 4130, F8, 44) (dual of [4130, 3961, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(8156, 4109, F8, 43) (dual of [4109, 3953, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(8159, 4120, F8, 43) (dual of [4120, 3961, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(8148, 4109, F8, 41) (dual of [4109, 3961, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(8140, 4109, F8, 39) (dual of [4109, 3969, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(8143, 4120, F8, 39) (dual of [4120, 3977, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(8147, 4132, F8, 38) (dual of [4132, 3985, 39]-code) | [i] | ✔ | |