Information on Result #1159817
Linear OOA(2256, 2397762, F2, 7, 15) (dual of [(2397762, 7), 16784078, 16]-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(2191, 1198881, F2, 7, 15) (dual of [(1198881, 7), 8391976, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 510, F2, 7, 7) (dual of [(510, 7), 3541, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- linear OOA(2162, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388435, 16]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 7-folding [i] based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-code), using
- linear OOA(229, 510, F2, 7, 7) (dual of [(510, 7), 3541, 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(2256, 2397762, F2, 7, 14) (dual of [(2397762, 7), 16784078, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 2397762, F2, 7, 15) (dual of [(2397762, 7), 16784077, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2258, 2397762, F2, 7, 15) (dual of [(2397762, 7), 16784076, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 2397761, F2, 8, 15) (dual of [(2397761, 8), 19181832, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 5 | Linear OOA(2256, 2397761, F2, 21, 15) (dual of [(2397761, 21), 50352725, 16]-NRT-code) | [i] | ||