Information on Result #1060186
Linear OOA(3132, 398584, F3, 4, 16) (dual of [(398584, 4), 1594204, 17]-NRT-code), using OOA 4-folding based on linear OA(3132, 1594336, F3, 16) (dual of [1594336, 1594204, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3132, 1594337, F3, 16) (dual of [1594337, 1594205, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
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(3133, 398584, F3, 4, 16) (dual of [(398584, 4), 1594203, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3134, 398584, F3, 4, 16) (dual of [(398584, 4), 1594202, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3132, 398584, F3, 5, 16) (dual of [(398584, 5), 1992788, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (116, 132, 398584)-net over F3 | [i] | ||