Information on Result #612794
Linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(4127, 262154, F4, 18) (dual of [262154, 262027, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4129, 262159, F4, 18) (dual of [262159, 262030, 19]-code) | [i] | ||
| 3 | Linear OA(4127, 262153, F4, 19) (dual of [262153, 262026, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(4118, 262153, F4, 18) (dual of [262153, 262035, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(4137, 262163, F4, 20) (dual of [262163, 262026, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(4139, 262165, F4, 21) (dual of [262165, 262026, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4121, 262165, F4, 18) (dual of [262165, 262044, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(4150, 262176, F4, 22) (dual of [262176, 262026, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(4123, 262176, F4, 18) (dual of [262176, 262053, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(4161, 262187, F4, 23) (dual of [262187, 262026, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4125, 262187, F4, 18) (dual of [262187, 262062, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(4176, 262202, F4, 25) (dual of [262202, 262026, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4173, 262199, F4, 24) (dual of [262199, 262026, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(4188, 262208, F4, 26) (dual of [262208, 262020, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4189, 262212, F4, 26) (dual of [262212, 262023, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4190, 262216, F4, 26) (dual of [262216, 262026, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4188, 262213, F4, 26) (dual of [262213, 262025, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(4189, 262215, F4, 26) (dual of [262215, 262026, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(4172, 262195, F4, 24) (dual of [262195, 262023, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(4186, 262209, F4, 26) (dual of [262209, 262023, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4187, 262213, F4, 26) (dual of [262213, 262026, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4200, 262226, F4, 27) (dual of [262226, 262026, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4139, 262167, F4, 20) (dual of [262167, 262028, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(4146, 262173, F4, 20) (dual of [262173, 262027, 21]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |