Information on Result #1069450
Linear OOA(8157, 1640, F81, 4, 29) (dual of [(1640, 4), 6503, 30]-NRT-code), using OOA 4-folding based on linear OA(8157, 6560, F81, 29) (dual of [6560, 6503, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
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(8171, 1722, F81, 4, 29) (dual of [(1722, 4), 6817, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8172, 1740, F81, 4, 29) (dual of [(1740, 4), 6888, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(8173, 1756, F81, 4, 29) (dual of [(1756, 4), 6951, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(8175, 1790, F81, 4, 29) (dual of [(1790, 4), 7085, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(8176, 1800, F81, 4, 29) (dual of [(1800, 4), 7124, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(8178, 1812, F81, 4, 29) (dual of [(1812, 4), 7170, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(8179, 1822, F81, 4, 29) (dual of [(1822, 4), 7209, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(8180, 1840, F81, 4, 29) (dual of [(1840, 4), 7280, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(8181, 1856, F81, 4, 29) (dual of [(1856, 4), 7343, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(8182, 1872, F81, 4, 29) (dual of [(1872, 4), 7406, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(8182, 1886, F81, 4, 29) (dual of [(1886, 4), 7462, 30]-NRT-code) | [i] | ||