Information on Result #612736
Linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(4107, 262152, F4, 15) (dual of [262152, 262045, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4108, 262154, F4, 15) (dual of [262154, 262046, 16]-code) | [i] | ||
| 3 | Linear OA(4109, 262161, F4, 15) (dual of [262161, 262052, 16]-code) | [i] | ||
| 4 | Linear OA(4110, 262164, F4, 15) (dual of [262164, 262054, 16]-code) | [i] | ||
| 5 | Linear OA(4110, 262154, F4, 17) (dual of [262154, 262044, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4100, 262153, F4, 15) (dual of [262153, 262053, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(4121, 262165, F4, 18) (dual of [262165, 262044, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(4101, 262163, F4, 15) (dual of [262163, 262062, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(4132, 262176, F4, 19) (dual of [262176, 262044, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(4105, 262176, F4, 15) (dual of [262176, 262071, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4146, 262190, F4, 21) (dual of [262190, 262044, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(4143, 262187, F4, 20) (dual of [262187, 262044, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(4107, 262187, F4, 15) (dual of [262187, 262080, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(4158, 262202, F4, 22) (dual of [262202, 262044, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(4110, 262199, F4, 15) (dual of [262199, 262089, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(4170, 262208, F4, 23) (dual of [262208, 262038, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(4170, 262213, F4, 23) (dual of [262213, 262043, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(4145, 262189, F4, 21) (dual of [262189, 262044, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(4109, 262195, F4, 15) (dual of [262195, 262086, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(4168, 262209, F4, 23) (dual of [262209, 262041, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(4169, 262213, F4, 23) (dual of [262213, 262044, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(4104, 262168, F4, 15) (dual of [262168, 262064, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(4101, 262164, F4, 15) (dual of [262164, 262063, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |