Information on Result #955768
Linear OOA(3218, 738, F3, 3, 46) (dual of [(738, 3), 1996, 47]-NRT-code), using OOA 3-folding based on linear OA(3218, 2214, F3, 46) (dual of [2214, 1996, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(40) [i] based on
- linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(3218, 738, F3, 3, 45) (dual of [(738, 3), 1996, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3219, 738, F3, 3, 46) (dual of [(738, 3), 1995, 47]-NRT-code) | [i] | OOA Duplication | |