Information on Result #692070
Linear OA(16125, 4103, F16, 44) (dual of [4103, 3978, 45]-code), using construction X applied to Ce(43) ⊂ Ce(41) based on
- linear OA(16124, 4096, F16, 44) (dual of [4096, 3972, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(16118, 4096, F16, 42) (dual of [4096, 3978, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 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 OOA(16125, 3929, F16, 2, 44) (dual of [(3929, 2), 7733, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (81, 125, 3929)-net over F16 | [i] | ||
| 3 | Linear OOA(16125, 2051, F16, 2, 44) (dual of [(2051, 2), 3977, 45]-NRT-code) | [i] | OOA Folding | |