Information on Result #1080119
Linear OOA(2233, 2097184, F2, 4, 19) (dual of [(2097184, 4), 8388503, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(225, 34, F2, 4, 9) (dual of [(34, 4), 111, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 17)-net over F2, using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- linear OOA(217, 17, F2, 4, 9) (dual of [(17, 4), 51, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 17)-net over F2, using
- linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2208, 2097150, F2, 4, 19) (dual of [(2097150, 4), 8388392, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 4-folding [i] based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-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(2233, 1048592, F2, 8, 19) (dual of [(1048592, 8), 8388503, 20]-NRT-code) | [i] | OOA Folding | |