Information on Result #676325
Linear OA(3195, 1107, F3, 43) (dual of [1107, 912, 44]-code), using construction XX applied to Ce(42) ⊂ Ce(39) ⊂ Ce(37) based on
- 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(3183, 1094, F3, 40) (dual of [1094, 911, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3176, 1094, F3, 38) (dual of [1094, 918, 39]-code), using an extension Ce(37) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(33, 11, F3, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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(3195, 369, F3, 3, 43) (dual of [(369, 3), 912, 44]-NRT-code) | [i] | OOA Folding | |