Information on Result #612878
Linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(4156, 262156, F4, 22) (dual of [262156, 262000, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4158, 262161, F4, 22) (dual of [262161, 262003, 23]-code) | [i] | ||
| 3 | Linear OA(4160, 262174, F4, 22) (dual of [262174, 262014, 23]-code) | [i] | ||
| 4 | Linear OA(4160, 262160, F4, 22) (dual of [262160, 262000, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4154, 262153, F4, 23) (dual of [262153, 261999, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4145, 262153, F4, 22) (dual of [262153, 262008, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(4164, 262163, F4, 24) (dual of [262163, 261999, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4166, 262165, F4, 25) (dual of [262165, 261999, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(4148, 262165, F4, 22) (dual of [262165, 262017, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(4177, 262176, F4, 26) (dual of [262176, 261999, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(4150, 262176, F4, 22) (dual of [262176, 262026, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(4188, 262187, F4, 27) (dual of [262187, 261999, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(4152, 262187, F4, 22) (dual of [262187, 262035, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(4203, 262202, F4, 29) (dual of [262202, 261999, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(4200, 262199, F4, 28) (dual of [262199, 261999, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4158, 262202, F4, 22) (dual of [262202, 262044, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(4215, 262208, F4, 30) (dual of [262208, 261993, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(4216, 262212, F4, 30) (dual of [262212, 261996, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4217, 262216, F4, 30) (dual of [262216, 261999, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(4229, 262228, F4, 31) (dual of [262228, 261999, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4215, 262213, F4, 30) (dual of [262213, 261998, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(4216, 262215, F4, 30) (dual of [262215, 261999, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(4199, 262195, F4, 28) (dual of [262195, 261996, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(4213, 262209, F4, 30) (dual of [262209, 261996, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(4214, 262213, F4, 30) (dual of [262213, 261999, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(4159, 262209, F4, 22) (dual of [262209, 262050, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(4160, 262213, F4, 22) (dual of [262213, 262053, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(4227, 262226, F4, 31) (dual of [262226, 261999, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4238, 262230, F4, 32) (dual of [262230, 261992, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(4239, 262235, F4, 32) (dual of [262235, 261996, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(4166, 262167, F4, 24) (dual of [262167, 262001, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(4146, 262173, F4, 20) (dual of [262173, 262027, 21]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |