Information on Result #1308266
Linear OA(4171, 4249, F4, 36) (dual of [4249, 4078, 37]-code), using 145 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 38 times 0, 1, 60 times 0) based on linear OA(4162, 4095, F4, 36) (dual of [4095, 3933, 37]-code), using
- 1 times truncation [i] 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: 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(4171, 4249, F4, 2, 36) (dual of [(4249, 2), 8327, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4171, 4249, F4, 3, 36) (dual of [(4249, 3), 12576, 37]-NRT-code) | [i] | ||
| 3 | Digital (135, 171, 4249)-net over F4 | [i] | ||
| 4 | Linear OOA(4171, 2124, F4, 2, 36) (dual of [(2124, 2), 4077, 37]-NRT-code) | [i] | OOA Folding | |