Information on Result #703541
Linear OA(3117, 268, F3, 37) (dual of [268, 151, 38]-code), using construction XX applied to C1 = C([239,30]), C2 = C([0,33]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([239,33]) based on
- 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 = {−3,−2,…,30}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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 = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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 OA(3118, 269, F3, 37) (dual of [269, 151, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3117, 134, F3, 2, 37) (dual of [(134, 2), 151, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3117, 89, F3, 3, 37) (dual of [(89, 3), 150, 38]-NRT-code) | [i] | ||