Information on Result #676021
Linear OA(3167, 2207, F3, 35) (dual of [2207, 2040, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
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(3167, 1623, F3, 2, 35) (dual of [(1623, 2), 3079, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3167, 1623, F3, 3, 35) (dual of [(1623, 3), 4702, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 1623, F3, 4, 35) (dual of [(1623, 4), 6325, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3167, 1623, F3, 5, 35) (dual of [(1623, 5), 7948, 36]-NRT-code) | [i] | ||
| 5 | Digital (132, 167, 1623)-net over F3 | [i] | ||
| 6 | Linear OOA(3167, 1103, F3, 2, 35) (dual of [(1103, 2), 2039, 36]-NRT-code) | [i] | OOA Folding | |