Information on Result #703548
Linear OA(3134, 286, F3, 40) (dual of [286, 152, 41]-code), using construction XX applied to C1 = C([84,120]), C2 = C([91,124]), C3 = C1 + C2 = C([91,120]), and C∩ = C1 ∩ C2 = C([84,124]) based on
- linear OA(3110, 242, F3, 37) (dual of [242, 132, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,120}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,124}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3121, 242, F3, 41) (dual of [242, 121, 42]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,124}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(390, 242, F3, 30) (dual of [242, 152, 31]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,120}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- 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(3136, 288, F3, 40) (dual of [288, 152, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3134, 143, F3, 2, 40) (dual of [(143, 2), 152, 41]-NRT-code) | [i] | OOA Folding | |