Information on Result #2425679
Linear OOA(2217, 140, F2, 2, 82) (dual of [(140, 2), 63, 83]-NRT-code), using strength reduction based on linear OOA(2217, 140, F2, 2, 83) (dual of [(140, 2), 63, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(849, 35, F8, 2, 41) (dual of [(35, 2), 21, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 49, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- extracting embedded OOA [i] based on digital (8, 49, 35)-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(849, 35, F8, 2, 41) (dual of [(35, 2), 21, 42]-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(2219, 141, F2, 2, 82) (dual of [(141, 2), 63, 83]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2218, 140, F2, 2, 82) (dual of [(140, 2), 62, 83]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2217, 70, F2, 4, 82) (dual of [(70, 4), 63, 83]-NRT-code) | [i] | OOA Folding | |