Information on Result #1029912
Linear OOA(2234, 140, F2, 3, 71) (dual of [(140, 3), 186, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(843, 35, F8, 3, 35) (dual of [(35, 3), 62, 36]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 43, 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, 43, 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
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(2234, 140, F2, 3, 70) (dual of [(140, 3), 186, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2237, 141, F2, 3, 71) (dual of [(141, 3), 186, 72]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2235, 140, F2, 3, 71) (dual of [(140, 3), 185, 72]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2236, 140, F2, 3, 71) (dual of [(140, 3), 184, 72]-NRT-code) | [i] | ||
| 5 | Linear OOA(2233, 139, F2, 3, 70) (dual of [(139, 3), 184, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2234, 70, F2, 5, 71) (dual of [(70, 5), 116, 72]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2234, 70, F2, 6, 71) (dual of [(70, 6), 186, 72]-NRT-code) | [i] | ||