Information on Result #1081229
Linear OOA(3165, 2097172, F3, 4, 16) (dual of [(2097172, 4), 8388523, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(314, 22, F3, 4, 8) (dual of [(22, 4), 74, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3151, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-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(3166, 2097172, F3, 4, 16) (dual of [(2097172, 4), 8388522, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3241, 4194322, F3, 4, 16) (dual of [(4194322, 4), 16777047, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3243, 4194323, F3, 4, 16) (dual of [(4194323, 4), 16777049, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3165, 1048585, F3, 20, 16) (dual of [(1048585, 20), 20971535, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |