Information on Result #813909
Linear OOA(3120, 3294, F3, 2, 22) (dual of [(3294, 2), 6468, 23]-NRT-code), using OOA 2-folding based on linear OA(3120, 6588, F3, 22) (dual of [6588, 6468, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(3120, 3294, F3, 3, 22) (dual of [(3294, 3), 9762, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3120, 3294, F3, 4, 22) (dual of [(3294, 4), 13056, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3120, 3294, F3, 5, 22) (dual of [(3294, 5), 16350, 23]-NRT-code) | [i] | ||
| 4 | Digital (98, 120, 3294)-net over F3 | [i] | ||