Information on Result #703585
Linear OA(3139, 281, F3, 43) (dual of [281, 142, 44]-code), using construction XX applied to C1 = C([82,120]), C2 = C([88,124]), C3 = C1 + C2 = C([88,120]), and C∩ = C1 ∩ C2 = C([82,124]) based on
- linear OA(3115, 242, F3, 39) (dual of [242, 127, 40]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,120}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,124}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3126, 242, F3, 43) (dual of [242, 116, 44]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,124}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3100, 242, F3, 33) (dual of [242, 142, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,120}, and designed minimum distance d ≥ |I|+1 = 34 [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, 16, F3, 3) (dual of [16, 11, 4]-code or 16-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, 282, F3, 43) (dual of [282, 142, 44]-code) | [i] | Code Embedding in Larger Space | |