Information on Result #2244557
Linear OA(4231, 16383, F4, 44) (dual of [16383, 16152, 45]-code), using 1 times truncation based on linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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 OA(4260, 16416, F4, 44) (dual of [16416, 16156, 45]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OOA(4231, 10873, F4, 2, 44) (dual of [(10873, 2), 21515, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
3 | Linear OOA(4231, 10873, F4, 3, 44) (dual of [(10873, 3), 32388, 45]-NRT-code) | [i] | ||
4 | Digital (187, 231, 10873)-net over F4 | [i] | ||
5 | Linear OA(4260, 16413, F4, 44) (dual of [16413, 16153, 45]-code) | [i] | (u, u−v, u+v+w)-Construction | |
6 | Linear OOA(4231, 8191, F4, 2, 44) (dual of [(8191, 2), 16151, 45]-NRT-code) | [i] | OOA Folding | |
7 | Linear OOA(4231, 5461, F4, 3, 44) (dual of [(5461, 3), 16152, 45]-NRT-code) | [i] |