Information on Result #703577
Linear OA(3139, 285, F3, 42) (dual of [285, 146, 43]-code), using construction XX applied to C1 = C([84,121]), C2 = C([90,125]), C3 = C1 + C2 = C([90,121]), and C∩ = C1 ∩ C2 = C([84,125]) based on
- linear OA(3111, 242, F3, 38) (dual of [242, 131, 39]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,121}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(3111, 242, F3, 36) (dual of [242, 131, 37]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,125}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3126, 242, F3, 42) (dual of [242, 116, 43]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,125}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,121}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 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(3140, 286, F3, 42) (dual of [286, 146, 43]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3139, 142, F3, 2, 42) (dual of [(142, 2), 145, 43]-NRT-code) | [i] | OOA Folding | |