Information on Result #1116509
Linear OOA(2175, 72, F2, 5, 58) (dual of [(72, 5), 185, 59]-NRT-code), using (u, u+v)-construction based on
- linear OOA(229, 6, F2, 5, 29) (dual of [(6, 5), 1, 30]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
- linear OOA(2146, 66, F2, 5, 58) (dual of [(66, 5), 184, 59]-NRT-code), using
- extracting embedded OOA [i] based on digital (88, 146, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 73, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 73, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (88, 146, 66)-net over F2, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2176, 72, F2, 5, 58) (dual of [(72, 5), 184, 59]-NRT-code) | [i] | OOA Duplication |