Information on Result #691595
Linear OA(16112, 1048587, F16, 24) (dual of [1048587, 1048475, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(161, 11, F16, 1) (dual of [11, 10, 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(16130, 1048652, F16, 24) (dual of [1048652, 1048522, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(16112, 717939, F16, 2, 24) (dual of [(717939, 2), 1435766, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (88, 112, 717939)-net over F16 | [i] | ||
| 4 | Linear OOA(16112, 524293, F16, 2, 24) (dual of [(524293, 2), 1048474, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(16112, 87382, F16, 24, 24) (dual of [(87382, 24), 2097056, 25]-NRT-code) | [i] | OA Folding and Stacking | |