Information on Result #612935
Linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(4185, 262158, F4, 26) (dual of [262158, 261973, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4188, 262163, F4, 26) (dual of [262163, 261975, 27]-code) | [i] | ||
| 3 | Linear OA(4189, 262165, F4, 26) (dual of [262165, 261976, 27]-code) | [i] | ||
| 4 | Linear OA(4189, 262162, F4, 26) (dual of [262162, 261973, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4181, 262153, F4, 27) (dual of [262153, 261972, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4172, 262153, F4, 26) (dual of [262153, 261981, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4191, 262163, F4, 28) (dual of [262163, 261972, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4204, 262176, F4, 30) (dual of [262176, 261972, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(4177, 262176, F4, 26) (dual of [262176, 261999, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(4230, 262202, F4, 33) (dual of [262202, 261972, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(4227, 262199, F4, 32) (dual of [262199, 261972, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(4185, 262202, F4, 26) (dual of [262202, 262017, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4242, 262208, F4, 34) (dual of [262208, 261966, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(4243, 262212, F4, 34) (dual of [262212, 261969, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4244, 262216, F4, 34) (dual of [262216, 261972, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4188, 262208, F4, 26) (dual of [262208, 262020, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4189, 262212, F4, 26) (dual of [262212, 262023, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4190, 262216, F4, 26) (dual of [262216, 262026, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(4256, 262228, F4, 35) (dual of [262228, 261972, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4242, 262213, F4, 34) (dual of [262213, 261971, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(4243, 262215, F4, 34) (dual of [262215, 261972, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(4188, 262213, F4, 26) (dual of [262213, 262025, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(4189, 262215, F4, 26) (dual of [262215, 262026, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(4226, 262195, F4, 32) (dual of [262195, 261969, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(4240, 262209, F4, 34) (dual of [262209, 261969, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(4241, 262213, F4, 34) (dual of [262213, 261972, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(4186, 262209, F4, 26) (dual of [262209, 262023, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(4187, 262213, F4, 26) (dual of [262213, 262026, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(4254, 262226, F4, 35) (dual of [262226, 261972, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(4193, 262167, F4, 28) (dual of [262167, 261974, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 35 | Linear OA(4200, 262173, F4, 28) (dual of [262173, 261973, 29]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |