Information on Result #676267
Linear OA(3197, 1101, F3, 44) (dual of [1101, 904, 45]-code), using construction X applied to Ce(43) ⊂ Ce(42) based on
- linear OA(3197, 1094, F3, 44) (dual of [1094, 897, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3190, 1094, F3, 43) (dual of [1094, 904, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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 OA(3198, 1102, F3, 44) (dual of [1102, 904, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3199, 1103, F3, 44) (dual of [1103, 904, 45]-code) | [i] | ||
| 3 | Linear OOA(3197, 550, F3, 2, 44) (dual of [(550, 2), 903, 45]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3197, 367, F3, 3, 44) (dual of [(367, 3), 904, 45]-NRT-code) | [i] | ||