Information on Result #703644
Linear OA(3132, 253, F3, 44) (dual of [253, 121, 45]-code), using construction XX applied to C1 = C([79,121]), C2 = C([81,122]), C3 = C1 + C2 = C([81,121]), and C∩ = C1 ∩ C2 = C([79,122]) based on
- 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 = {79,80,…,121}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3126, 242, F3, 42) (dual of [242, 116, 43]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {81,82,…,122}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3131, 242, F3, 44) (dual of [242, 111, 45]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {79,80,…,122}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {81,82,…,121}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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(3132, 126, F3, 2, 44) (dual of [(126, 2), 120, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3132, 84, F3, 3, 44) (dual of [(84, 3), 120, 45]-NRT-code) | [i] | ||