Information on Result #1551720
Linear OOA(757, 127, F7, 3, 27) (dual of [(127, 3), 324, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(757, 127, F7, 2, 27) (dual of [(127, 2), 197, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(757, 128, F7, 2, 27) (dual of [(128, 2), 199, 28]-NRT-code), using
- 71 times duplication [i] based on linear OOA(756, 128, F7, 2, 27) (dual of [(128, 2), 200, 28]-NRT-code), using
- extracting embedded OOA [i] based on digital (29, 56, 128)-net over F7, using
- trace code for nets [i] based on digital (1, 28, 64)-net over F49, using
- net from sequence [i] based on digital (1, 63)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 1 and N(F) ≥ 64, using
- net from sequence [i] based on digital (1, 63)-sequence over F49, using
- trace code for nets [i] based on digital (1, 28, 64)-net over F49, using
- extracting embedded OOA [i] based on digital (29, 56, 128)-net over F7, using
- 71 times duplication [i] based on linear OOA(756, 128, F7, 2, 27) (dual of [(128, 2), 200, 28]-NRT-code), using
Mode: 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
None.