Information on Result #1068926
Linear OOA(8133, 1640, F81, 4, 17) (dual of [(1640, 4), 6527, 18]-NRT-code), using OOA 4-folding based on linear OA(8133, 6560, F81, 17) (dual of [6560, 6527, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(8141, 1722, F81, 4, 17) (dual of [(1722, 4), 6847, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(8142, 1740, F81, 4, 17) (dual of [(1740, 4), 6918, 18]-NRT-code) | [i] | ||
3 | Linear OOA(8143, 1756, F81, 4, 17) (dual of [(1756, 4), 6981, 18]-NRT-code) | [i] | ||
4 | Linear OOA(8145, 1804, F81, 4, 17) (dual of [(1804, 4), 7171, 18]-NRT-code) | [i] | ||
5 | Linear OOA(8146, 1822, F81, 4, 17) (dual of [(1822, 4), 7242, 18]-NRT-code) | [i] | ||
6 | Linear OOA(8147, 1840, F81, 4, 17) (dual of [(1840, 4), 7313, 18]-NRT-code) | [i] | ||
7 | Linear OOA(8147, 1886, F81, 4, 17) (dual of [(1886, 4), 7497, 18]-NRT-code) | [i] |