Information on Result #1009340
Linear OOA(2253, 5592656, F2, 3, 15) (dual of [(5592656, 3), 16777715, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2185, 2796328, F2, 3, 15) (dual of [(2796328, 3), 8388799, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(223, 127, F2, 3, 7) (dual of [(127, 3), 358, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 23, 127)-net over F2, using
- linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- linear OOA(223, 127, F2, 3, 7) (dual of [(127, 3), 358, 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(2253, 5592656, F2, 3, 14) (dual of [(5592656, 3), 16777715, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 5592656, F2, 3, 15) (dual of [(5592656, 3), 16777714, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2255, 5592656, F2, 3, 15) (dual of [(5592656, 3), 16777713, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2253, 2796328, F2, 5, 15) (dual of [(2796328, 5), 13981387, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2253, 2796328, F2, 6, 15) (dual of [(2796328, 6), 16777715, 16]-NRT-code) | [i] | ||