Information on Result #1014625
Linear OOA(8140, 5592562, F8, 3, 16) (dual of [(5592562, 3), 16777546, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(818, 160, F8, 3, 8) (dual of [(160, 3), 462, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 18, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 9, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 9, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (10, 18, 160)-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(8141, 5592562, F8, 3, 16) (dual of [(5592562, 3), 16777545, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8142, 5592562, F8, 3, 16) (dual of [(5592562, 3), 16777544, 17]-NRT-code) | [i] | ||