Information on Result #703685
Linear OA(3147, 253, F3, 50) (dual of [253, 106, 51]-code), using construction XX applied to C1 = C([73,121]), C2 = C([75,122]), C3 = C1 + C2 = C([75,121]), and C∩ = C1 ∩ C2 = C([73,122]) based on
- linear OA(3141, 242, F3, 49) (dual of [242, 101, 50]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {73,74,…,121}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3141, 242, F3, 48) (dual of [242, 101, 49]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {75,76,…,122}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3146, 242, F3, 50) (dual of [242, 96, 51]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {73,74,…,122}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3136, 242, F3, 47) (dual of [242, 106, 48]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {75,76,…,121}, and designed minimum distance d ≥ |I|+1 = 48 [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(3147, 126, F3, 2, 50) (dual of [(126, 2), 105, 51]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3147, 84, F3, 3, 50) (dual of [(84, 3), 105, 51]-NRT-code) | [i] | ||