Information on Result #2267179
Linear OA(3220, 1110, F3, 48) (dual of [1110, 890, 49]-code), using 1 times code embedding in larger space based on linear OA(3219, 1109, F3, 48) (dual of [1109, 890, 49]-code), using
- construction X applied to Ce(48) ⊂ Ce(45) [i] based on
- linear OA(3218, 1094, F3, 49) (dual of [1094, 876, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3204, 1094, F3, 46) (dual of [1094, 890, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3220, 555, F3, 2, 48) (dual of [(555, 2), 890, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3220, 370, F3, 3, 48) (dual of [(370, 3), 890, 49]-NRT-code) | [i] | ||