Information on Result #879977
Linear OOA(25616, 32770, F256, 2, 8) (dual of [(32770, 2), 65524, 9]-NRT-code), using OOA 2-folding based on linear OA(25616, 65540, F256, 8) (dual of [65540, 65524, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(25616, 65541, F256, 8) (dual of [65541, 65525, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
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(25662, 4227071, F256, 2, 16) (dual of [(4227071, 2), 8454080, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25665, 4227071, F256, 2, 17) (dual of [(4227071, 2), 8454077, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25616, 32770, F256, 3, 8) (dual of [(32770, 3), 98294, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(25616, 32770, F256, 4, 8) (dual of [(32770, 4), 131064, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(25616, 32770, F256, 5, 8) (dual of [(32770, 5), 163834, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(25616, 32770, F256, 6, 8) (dual of [(32770, 6), 196604, 9]-NRT-code) | [i] | ||
| 7 | Digital (8, 16, 32770)-net over F256 | [i] | ||