Information on Result #880240
Linear OOA(25643, 32769, F256, 2, 22) (dual of [(32769, 2), 65495, 23]-NRT-code), using OOA 2-folding based on linear OA(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 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(25654, 33026, F256, 2, 22) (dual of [(33026, 2), 65998, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25655, 33027, F256, 2, 22) (dual of [(33027, 2), 65999, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(25656, 33028, F256, 2, 22) (dual of [(33028, 2), 66000, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(25657, 33029, F256, 2, 22) (dual of [(33029, 2), 66001, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(25658, 33030, F256, 2, 22) (dual of [(33030, 2), 66002, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(25659, 33283, F256, 2, 22) (dual of [(33283, 2), 66507, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(25660, 33284, F256, 2, 22) (dual of [(33284, 2), 66508, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(25661, 33285, F256, 2, 22) (dual of [(33285, 2), 66509, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(25662, 33540, F256, 2, 22) (dual of [(33540, 2), 67018, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(25663, 33541, F256, 2, 22) (dual of [(33541, 2), 67019, 23]-NRT-code) | [i] | ||