Information on Result #613004
Linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(4223, 262160, F4, 31) (dual of [262160, 261937, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4226, 262165, F4, 31) (dual of [262165, 261939, 32]-code) | [i] | ||
| 3 | Linear OA(4227, 262167, F4, 31) (dual of [262167, 261940, 32]-code) | [i] | ||
| 4 | Linear OA(4229, 262171, F4, 31) (dual of [262171, 261942, 32]-code) | [i] | ||
| 5 | Linear OA(4229, 262166, F4, 31) (dual of [262166, 261937, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4218, 262154, F4, 33) (dual of [262154, 261936, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(4208, 262153, F4, 31) (dual of [262153, 261945, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(4229, 262165, F4, 34) (dual of [262165, 261936, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4209, 262163, F4, 31) (dual of [262163, 261954, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4240, 262176, F4, 35) (dual of [262176, 261936, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4213, 262176, F4, 31) (dual of [262176, 261963, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4254, 262190, F4, 37) (dual of [262190, 261936, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4251, 262187, F4, 36) (dual of [262187, 261936, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4218, 262199, F4, 31) (dual of [262199, 261981, 32]-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(4229, 262228, F4, 31) (dual of [262228, 261999, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(4224, 262213, F4, 31) (dual of [262213, 261989, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4225, 262215, F4, 31) (dual of [262215, 261990, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4253, 262189, F4, 37) (dual of [262189, 261936, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(4217, 262195, F4, 31) (dual of [262195, 261978, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(4222, 262209, F4, 31) (dual of [262209, 261987, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(4223, 262213, F4, 31) (dual of [262213, 261990, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(4227, 262226, F4, 31) (dual of [262226, 261999, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4229, 262230, F4, 31) (dual of [262230, 262001, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(4230, 262235, F4, 31) (dual of [262235, 262005, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4239, 262168, F4, 35) (dual of [262168, 261929, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 30 | Linear OA(4212, 262168, F4, 31) (dual of [262168, 261956, 32]-code) | [i] | ✔ | |
| 31 | Linear OOA(4208, 17476, F4, 31, 31) (dual of [(17476, 31), 541548, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |