Information on Result #676318
Linear OA(3206, 1104, F3, 46) (dual of [1104, 898, 47]-code), using construction XX applied to Ce(45) ⊂ Ce(43) ⊂ Ce(42) based on
- 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(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(31, 9, F3, 1) (dual of [9, 8, 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
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(3206, 552, F3, 2, 46) (dual of [(552, 2), 898, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3206, 368, F3, 3, 46) (dual of [(368, 3), 898, 47]-NRT-code) | [i] | ||