Information on Result #703913
Linear OA(396, 378, F3, 25) (dual of [378, 282, 26]-code), using construction XX applied to C1 = C([163,185]), C2 = C([161,183]), C3 = C1 + C2 = C([163,183]), and C∩ = C1 ∩ C2 = C([161,185]) based on
- linear OA(388, 364, F3, 23) (dual of [364, 276, 24]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {163,164,…,185}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(388, 364, F3, 23) (dual of [364, 276, 24]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,183}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(394, 364, F3, 25) (dual of [364, 270, 26]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {161,162,…,185}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(382, 364, F3, 21) (dual of [364, 282, 22]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {163,164,…,183}, and designed minimum distance d ≥ |I|+1 = 22 [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 OOA(396, 189, F3, 2, 25) (dual of [(189, 2), 282, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(396, 126, F3, 3, 25) (dual of [(126, 3), 282, 26]-NRT-code) | [i] | ||