Information on Result #895539
Linear OOA(4132, 4194321, F4, 2, 14) (dual of [(4194321, 2), 8388510, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(411, 20, F4, 2, 7) (dual of [(20, 2), 29, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 20)-net over F4, using
- linear OOA(4121, 4194301, F4, 2, 14) (dual of [(4194301, 2), 8388481, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4121, 8388602, F4, 14) (dual of [8388602, 8388481, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- OOA 2-folding [i] based on linear OA(4121, 8388602, F4, 14) (dual of [8388602, 8388481, 15]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4134, 4194322, F4, 2, 14) (dual of [(4194322, 2), 8388510, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4133, 4194321, F4, 2, 14) (dual of [(4194321, 2), 8388509, 15]-NRT-code) | [i] | OOA Duplication | |