Information on Result #1014627
Linear OOA(8144, 5592610, F8, 3, 16) (dual of [(5592610, 3), 16777686, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(822, 208, F8, 3, 8) (dual of [(208, 3), 602, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 22, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 11, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 11, 104)-net over F64, using
- extracting embedded OOA [i] based on digital (14, 22, 208)-net over F8, using
- linear OOA(8122, 5592402, F8, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-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(8145, 5592610, F8, 3, 16) (dual of [(5592610, 3), 16777685, 17]-NRT-code) | [i] | OOA Duplication | |