Information on Result #703420
Linear OA(3115, 281, F3, 33) (dual of [281, 166, 34]-code), using construction XX applied to C1 = C([91,121]), C2 = C([99,124]), C3 = C1 + C2 = C([99,121]), and C∩ = C1 ∩ C2 = C([91,124]) based on
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,121}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,124}, and designed minimum distance d ≥ |I|+1 = 27 [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(376, 242, F3, 23) (dual of [242, 166, 24]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,121}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 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(3115, 140, F3, 2, 33) (dual of [(140, 2), 165, 34]-NRT-code) | [i] | OOA Folding | |