Information on Result #1011870
Linear OOA(472, 5473, F4, 3, 13) (dual of [(5473, 3), 16347, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(48, 12, F4, 3, 6) (dual of [(12, 3), 28, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 12)-net over F4, using
- linear OOA(464, 5461, F4, 3, 13) (dual of [(5461, 3), 16319, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(464, 16383, F4, 13) (dual of [16383, 16319, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
- OOA 3-folding [i] based on linear OA(464, 16383, F4, 13) (dual of [16383, 16319, 14]-code), 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(472, 2736, F4, 15, 13) (dual of [(2736, 15), 40968, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |