Information on Result #703476
Linear OA(3119, 280, F3, 35) (dual of [280, 161, 36]-code), using construction XX applied to C1 = C([91,121]), C2 = C([97,125]), C3 = C1 + C2 = C([97,121]), and C∩ = C1 ∩ C2 = C([91,125]) based on
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,121}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(396, 242, F3, 29) (dual of [242, 146, 30]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {97,98,…,125}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,125}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(381, 242, F3, 25) (dual of [242, 161, 26]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {97,98,…,121}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(38, 18, F3, 5) (dual of [18, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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 OA(3120, 281, F3, 35) (dual of [281, 161, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3119, 140, F3, 2, 35) (dual of [(140, 2), 161, 36]-NRT-code) | [i] | OOA Folding | |