Information on Result #691765
Linear OA(1681, 65540, F16, 22) (dual of [65540, 65459, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(1681, 65536, F16, 22) (dual of [65536, 65455, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1677, 65536, F16, 21) (dual of [65536, 65459, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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 | OA(8108, 65540, S8, 22) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1681, 32770, F16, 2, 22) (dual of [(32770, 2), 65459, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1681, 5958, F16, 22, 22) (dual of [(5958, 22), 130995, 23]-NRT-code) | [i] | OA Folding and Stacking | |