Information on Result #2243660
Linear OA(4162, 4095, F4, 36) (dual of [4095, 3933, 37]-code), using 1 times truncation based on linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
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 OOA(4162, 3174, F4, 2, 36) (dual of [(3174, 2), 6186, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4162, 3174, F4, 3, 36) (dual of [(3174, 3), 9360, 37]-NRT-code) | [i] | ||
| 3 | Digital (126, 162, 3174)-net over F4 | [i] | ||
| 4 | Linear OA(4168, 4124, F4, 36) (dual of [4124, 3956, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4169, 4147, F4, 36) (dual of [4147, 3978, 37]-code) | [i] | ||
| 6 | Linear OA(4170, 4187, F4, 36) (dual of [4187, 4017, 37]-code) | [i] | ||
| 7 | Linear OA(4171, 4249, F4, 36) (dual of [4249, 4078, 37]-code) | [i] | ||
| 8 | Linear OA(4172, 4339, F4, 36) (dual of [4339, 4167, 37]-code) | [i] | ||
| 9 | Linear OA(4173, 4459, F4, 36) (dual of [4459, 4286, 37]-code) | [i] | ||
| 10 | Linear OA(4174, 4606, F4, 36) (dual of [4606, 4432, 37]-code) | [i] | ||
| 11 | Linear OA(4175, 4776, F4, 36) (dual of [4776, 4601, 37]-code) | [i] | ||
| 12 | Linear OA(4176, 4961, F4, 36) (dual of [4961, 4785, 37]-code) | [i] | ||
| 13 | Linear OA(4177, 5158, F4, 36) (dual of [5158, 4981, 37]-code) | [i] | ||
| 14 | Linear OOA(4162, 2047, F4, 2, 36) (dual of [(2047, 2), 3932, 37]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4162, 1365, F4, 3, 36) (dual of [(1365, 3), 3933, 37]-NRT-code) | [i] | ||