Information on Result #687047
Linear OA(8105, 4097, F8, 29) (dual of [4097, 3992, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(8114, 4106, F8, 31) (dual of [4106, 3992, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8116, 4107, F8, 33) (dual of [4107, 3991, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(8117, 4109, F8, 33) (dual of [4109, 3992, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(8106, 4106, F8, 29) (dual of [4106, 4000, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(8128, 4120, F8, 35) (dual of [4120, 3992, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(8126, 4111, F8, 34) (dual of [4111, 3985, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(8109, 4117, F8, 29) (dual of [4117, 4008, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(8141, 4126, F8, 37) (dual of [4126, 3985, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(8142, 4134, F8, 37) (dual of [4134, 3992, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(8140, 4132, F8, 36) (dual of [4132, 3992, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(8112, 4128, F8, 29) (dual of [4128, 4016, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(8152, 4144, F8, 39) (dual of [4144, 3992, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(8147, 4132, F8, 38) (dual of [4132, 3985, 39]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 14 | Linear OA(8141, 4130, F8, 37) (dual of [4130, 3989, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(8140, 4128, F8, 37) (dual of [4128, 3988, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(8139, 4126, F8, 37) (dual of [4126, 3987, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(8138, 4124, F8, 37) (dual of [4124, 3986, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(8137, 4122, F8, 37) (dual of [4122, 3985, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(8127, 4113, F8, 35) (dual of [4113, 3986, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(8126, 4111, F8, 35) (dual of [4111, 3985, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(8133, 4129, F8, 35) (dual of [4129, 3996, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(8132, 4127, F8, 35) (dual of [4127, 3995, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(8131, 4125, F8, 35) (dual of [4125, 3994, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(8130, 4123, F8, 35) (dual of [4123, 3993, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(8119, 4112, F8, 33) (dual of [4112, 3993, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(8116, 4109, F8, 31) (dual of [4109, 3993, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(8108, 4109, F8, 29) (dual of [4109, 4001, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8111, 4120, F8, 29) (dual of [4120, 4009, 30]-code) | [i] | ✔ | |