Information on Result #1060191
Linear OOA(3141, 1195742, F3, 4, 16) (dual of [(1195742, 4), 4782827, 17]-NRT-code), using OOA 4-folding based on linear OA(3141, 4782968, F3, 16) (dual of [4782968, 4782827, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3141, 1195742, F3, 5, 16) (dual of [(1195742, 5), 5978569, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Digital (125, 141, 1195742)-net over F3 | [i] |