Information on Result #612893
Linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(4165, 262156, F4, 23) (dual of [262156, 261991, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4167, 262161, F4, 23) (dual of [262161, 261994, 24]-code) | [i] | ||
| 3 | Linear OA(4169, 262174, F4, 23) (dual of [262174, 262005, 24]-code) | [i] | ||
| 4 | Linear OA(4169, 262160, F4, 23) (dual of [262160, 261991, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4164, 262154, F4, 25) (dual of [262154, 261990, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4154, 262153, F4, 23) (dual of [262153, 261999, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4155, 262163, F4, 23) (dual of [262163, 262008, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(4186, 262176, F4, 27) (dual of [262176, 261990, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4159, 262176, F4, 23) (dual of [262176, 262017, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4200, 262190, F4, 29) (dual of [262190, 261990, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(4197, 262187, F4, 28) (dual of [262187, 261990, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(4161, 262187, F4, 23) (dual of [262187, 262026, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(4212, 262202, F4, 30) (dual of [262202, 261990, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(4164, 262199, F4, 23) (dual of [262199, 262035, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(4224, 262208, F4, 31) (dual of [262208, 261984, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(4225, 262212, F4, 31) (dual of [262212, 261987, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(4226, 262216, F4, 31) (dual of [262216, 261990, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(4170, 262208, F4, 23) (dual of [262208, 262038, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(4224, 262213, F4, 31) (dual of [262213, 261989, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4225, 262215, F4, 31) (dual of [262215, 261990, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(4170, 262213, F4, 23) (dual of [262213, 262043, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(4199, 262189, F4, 29) (dual of [262189, 261990, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(4163, 262195, F4, 23) (dual of [262195, 262032, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(4222, 262209, F4, 31) (dual of [262209, 261987, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4223, 262213, F4, 31) (dual of [262213, 261990, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(4168, 262209, F4, 23) (dual of [262209, 262041, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(4169, 262213, F4, 23) (dual of [262213, 262044, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(4238, 262228, F4, 33) (dual of [262228, 261990, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(4236, 262226, F4, 32) (dual of [262226, 261990, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(4185, 262168, F4, 27) (dual of [262168, 261983, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(4158, 262168, F4, 23) (dual of [262168, 262010, 24]-code) | [i] | ✔ | |