Information on Result #2237049
Linear OA(454, 4095, F4, 12) (dual of [4095, 4041, 13]-code), using 1 times truncation 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: 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(454, 2336, F4, 2, 12) (dual of [(2336, 2), 4618, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(454, 2336, F4, 3, 12) (dual of [(2336, 3), 6954, 13]-NRT-code) | [i] | ||
| 3 | Digital (42, 54, 2336)-net over F4 | [i] | ||
| 4 | Linear OA(458, 4123, F4, 12) (dual of [4123, 4065, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(459, 4154, F4, 12) (dual of [4154, 4095, 13]-code) | [i] | ||
| 6 | Linear OA(460, 4215, F4, 12) (dual of [4215, 4155, 13]-code) | [i] | ||
| 7 | Linear OA(461, 4330, F4, 12) (dual of [4330, 4269, 13]-code) | [i] | ||
| 8 | Linear OOA(454, 2047, F4, 2, 12) (dual of [(2047, 2), 4040, 13]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(454, 1365, F4, 3, 12) (dual of [(1365, 3), 4041, 13]-NRT-code) | [i] | ||