Information on Result #2429498
Linear OOA(2257, 184, F2, 2, 90) (dual of [(184, 2), 111, 91]-NRT-code), using strength reduction based on linear OOA(2257, 184, F2, 2, 91) (dual of [(184, 2), 111, 92]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(855, 46, F8, 2, 45) (dual of [(46, 2), 37, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 55, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- extracting embedded OOA [i] based on digital (10, 55, 46)-net over F8, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(855, 46, F8, 2, 45) (dual of [(46, 2), 37, 46]-NRT-code), 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(2259, 185, F2, 2, 90) (dual of [(185, 2), 111, 91]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2258, 184, F2, 2, 90) (dual of [(184, 2), 110, 91]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2257, 92, F2, 4, 90) (dual of [(92, 4), 111, 91]-NRT-code) | [i] | OOA Folding | |