Information on Result #1159733
Linear OOA(2233, 2396748, F2, 7, 14) (dual of [(2396748, 7), 16777003, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(265, 2097150, F2, 7, 7) (dual of [(2097150, 7), 14679985, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- linear OOA(2168, 1198374, F2, 7, 14) (dual of [(1198374, 7), 8388450, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(27, 3, F2, 7, 7) (dual of [(3, 7), 14, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;14,2) [i]
- linear OOA(2161, 1198371, F2, 7, 14) (dual of [(1198371, 7), 8388436, 15]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-code), using
- linear OOA(27, 3, F2, 7, 7) (dual of [(3, 7), 14, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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, 2396747, F2, 8, 14) (dual of [(2396747, 8), 19173743, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2233, 2396747, F2, 21, 14) (dual of [(2396747, 21), 50331454, 15]-NRT-code) | [i] | ||