Information on Result #703422
Linear OA(3113, 276, F3, 33) (dual of [276, 163, 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(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-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(3113, 138, F3, 2, 33) (dual of [(138, 2), 163, 34]-NRT-code) | [i] | OOA Folding | |