Information on Result #1106783
Linear OOA(25633, 13107, F256, 5, 17) (dual of [(13107, 5), 65502, 18]-NRT-code), using OOA 5-folding based on linear OA(25633, 65535, F256, 17) (dual of [65535, 65502, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, 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(25641, 13364, F256, 5, 17) (dual of [(13364, 5), 66779, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25642, 13365, F256, 5, 17) (dual of [(13365, 5), 66783, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25643, 13366, F256, 5, 17) (dual of [(13366, 5), 66787, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25644, 13367, F256, 5, 17) (dual of [(13367, 5), 66791, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(25645, 13621, F256, 5, 17) (dual of [(13621, 5), 68060, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(25646, 13622, F256, 5, 17) (dual of [(13622, 5), 68064, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(25647, 13877, F256, 5, 17) (dual of [(13877, 5), 69338, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(25647, 13878, F256, 5, 17) (dual of [(13878, 5), 69343, 18]-NRT-code) | [i] | ||