Information on Result #703596
Linear OA(3133, 267, F3, 42) (dual of [267, 134, 43]-code), using construction XX applied to C1 = C([82,121]), C2 = C([87,124]), C3 = C1 + C2 = C([87,121]), and C∩ = C1 ∩ C2 = C([82,124]) based on
- linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,121}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3116, 242, F3, 38) (dual of [242, 126, 39]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {87,88,…,124}, and designed minimum distance d ≥ |I|+1 = 39 [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(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 = {87,88,…,121}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(36, 14, F3, 4) (dual of [14, 8, 5]-code), using
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(3133, 133, F3, 2, 42) (dual of [(133, 2), 133, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3133, 89, F3, 3, 42) (dual of [(89, 3), 134, 43]-NRT-code) | [i] | ||