Information on Result #691755
Linear OA(16122, 65541, F16, 33) (dual of [65541, 65419, 34]-code), using construction X applied to Ce(32) ⊂ Ce(30) based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16117, 65536, F16, 31) (dual of [65536, 65419, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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 OA(16121, 65540, F16, 32) (dual of [65540, 65419, 33]-code) | [i] | Truncation | |
| 2 | OA(8163, 65541, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(16122, 41469, F16, 2, 33) (dual of [(41469, 2), 82816, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (89, 122, 41469)-net over F16 | [i] | ||
| 5 | Linear OOA(16122, 32770, F16, 2, 33) (dual of [(32770, 2), 65418, 34]-NRT-code) | [i] | OOA Folding | |