Information on Result #1832285
OOA(6477, 4194559, S64, 2, 17), using (u, u+v)-construction based on
- OOA(6412, 258, S64, 2, 8), using
- extracting embedded OOA [i] based on (4, 12, 258)-net in base 64, using
- base change [i] based on digital (1, 9, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 9, 258)-net over F256, using
- extracting embedded OOA [i] based on (4, 12, 258)-net in base 64, using
- linear OOA(6465, 4194301, F64, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6465, 8388602, F64, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- OOA 2-folding [i] based on linear OA(6465, 8388602, F64, 17) (dual of [8388602, 8388537, 18]-code), using
Mode: Constructive.
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 | OOA(6479, 4194560, S64, 2, 17) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(6478, 4194559, S64, 2, 17) | [i] | OOA Duplication | |