Information on Result #703987
Linear OA(3146, 395, F3, 38) (dual of [395, 249, 39]-code), using construction XX applied to C1 = C([161,197]), C2 = C([166,198]), C3 = C1 + C2 = C([166,197]), and C∩ = C1 ∩ C2 = C([161,198]) based on
- 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 = {161,162,…,197}, 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(3139, 364, F3, 38) (dual of [364, 225, 39]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,198}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3115, 364, F3, 32) (dual of [364, 249, 33]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {166,167,…,197}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(30, 6, F3, 0) (dual of [6, 6, 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 OOA(3146, 197, F3, 2, 38) (dual of [(197, 2), 248, 39]-NRT-code) | [i] | OOA Folding | |