Information on Result #1013319
Linear OOA(5143, 2796305, F5, 3, 16) (dual of [(2796305, 3), 8388772, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(522, 104, F5, 3, 8) (dual of [(104, 3), 290, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 22, 104)-net over F5, using
- trace code for nets [i] based on digital (3, 11, 52)-net over F25, using
- net from sequence [i] based on digital (3, 51)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F25, using
- trace code for nets [i] based on digital (3, 11, 52)-net over F25, using
- extracting embedded OOA [i] based on digital (14, 22, 104)-net over F5, using
- linear OOA(5121, 2796201, F5, 3, 16) (dual of [(2796201, 3), 8388482, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 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(5144, 2796305, F5, 3, 16) (dual of [(2796305, 3), 8388771, 17]-NRT-code) | [i] | OOA Duplication | |