Information on Result #703952
Linear OA(3129, 390, F3, 34) (dual of [390, 261, 35]-code), using construction XX applied to C1 = C([169,200]), C2 = C([167,195]), C3 = C1 + C2 = C([169,195]), and C∩ = C1 ∩ C2 = C([167,200]) based on
- linear OA(3118, 364, F3, 32) (dual of [364, 246, 33]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {169,170,…,200}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3106, 364, F3, 29) (dual of [364, 258, 30]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,195}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3121, 364, F3, 34) (dual of [364, 243, 35]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,200}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3103, 364, F3, 27) (dual of [364, 261, 28]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {169,170,…,195}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(37, 22, F3, 4) (dual of [22, 15, 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(31, 4, F3, 1) (dual of [4, 3, 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
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(3129, 195, F3, 2, 34) (dual of [(195, 2), 261, 35]-NRT-code) | [i] | OOA Folding | |