Information on Result #2487867
Linear OOA(3209, 9846, F3, 2, 35) (dual of [(9846, 2), 19483, 36]-NRT-code), using 31 times duplication based on linear OOA(3208, 9846, F3, 2, 35) (dual of [(9846, 2), 19484, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3208, 19692, F3, 35) (dual of [19692, 19484, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 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
- construction X applied to Ce(34) ⊂ Ce(33) [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(3209, 7771, F3, 3, 35) (dual of [(7771, 3), 23104, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3209, 7771, F3, 4, 35) (dual of [(7771, 4), 30875, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 7771, F3, 5, 35) (dual of [(7771, 5), 38646, 36]-NRT-code) | [i] | ||
| 4 | Digital (174, 209, 7771)-net over F3 | [i] | ||