Information on Result #704014
Linear OA(3135, 378, F3, 37) (dual of [378, 243, 38]-code), using construction XX applied to C1 = C([166,200]), C2 = C([164,198]), C3 = C1 + C2 = C([166,198]), and C∩ = C1 ∩ C2 = C([164,200]) based on
- linear OA(3127, 364, F3, 35) (dual of [364, 237, 36]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {166,167,…,200}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3127, 364, F3, 35) (dual of [364, 237, 36]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,198}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3133, 364, F3, 37) (dual of [364, 231, 38]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,200}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3121, 364, F3, 33) (dual of [364, 243, 34]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {166,167,…,198}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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(31, 7, F3, 1) (dual of [7, 6, 2]-code) (see above)
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(3136, 379, F3, 37) (dual of [379, 243, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3135, 189, F3, 2, 37) (dual of [(189, 2), 243, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3135, 126, F3, 3, 37) (dual of [(126, 3), 243, 38]-NRT-code) | [i] | ||