Information on Result #1307537
Linear OA(459, 4154, F4, 12) (dual of [4154, 4095, 13]-code), using 54 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 5 times 0, 1, 14 times 0, 1, 29 times 0) based on linear OA(454, 4095, F4, 12) (dual of [4095, 4041, 13]-code), using
- 1 times truncation [i] based on linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(459, 4154, F4, 2, 12) (dual of [(4154, 2), 8249, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(459, 4154, F4, 3, 12) (dual of [(4154, 3), 12403, 13]-NRT-code) | [i] | ||
| 3 | Digital (47, 59, 4154)-net over F4 | [i] | ||
| 4 | Linear OOA(459, 2077, F4, 2, 12) (dual of [(2077, 2), 4095, 13]-NRT-code) | [i] | OOA Folding | |