Information on Result #692092
Linear OA(1641, 4103, F16, 14) (dual of [4103, 4062, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(1641, 3633, F16, 2, 14) (dual of [(3633, 2), 7225, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (27, 41, 3633)-net over F16 | [i] | ||
| 3 | Linear OOA(1641, 2051, F16, 2, 14) (dual of [(2051, 2), 4061, 15]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(1641, 586, F16, 14, 14) (dual of [(586, 14), 8163, 15]-NRT-code) | [i] | OA Folding and Stacking | |