Information on Result #2266570
Linear OA(3163, 2195, F3, 35) (dual of [2195, 2032, 36]-code), using 1 times code embedding in larger space based on linear OA(3162, 2194, F3, 35) (dual of [2194, 2032, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] 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(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3163, 1417, F3, 2, 35) (dual of [(1417, 2), 2671, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3163, 1417, F3, 3, 35) (dual of [(1417, 3), 4088, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3163, 1417, F3, 4, 35) (dual of [(1417, 4), 5505, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3163, 1417, F3, 5, 35) (dual of [(1417, 5), 6922, 36]-NRT-code) | [i] | ||
| 5 | Digital (128, 163, 1417)-net over F3 | [i] | ||
| 6 | Linear OOA(3163, 439, F3, 5, 35) (dual of [(439, 5), 2032, 36]-NRT-code) | [i] | OOA Folding | |