Information on Result #2612384
Linear OOA(2132, 68, F2, 3, 50) (dual of [(68, 3), 72, 51]-NRT-code), using strength reduction based on linear OOA(2132, 68, F2, 3, 51) (dual of [(68, 3), 72, 52]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(827, 17, F8, 3, 25) (dual of [(17, 3), 24, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(827, 17, F8, 3, 25) (dual of [(17, 3), 24, 26]-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(2135, 69, F2, 3, 50) (dual of [(69, 3), 72, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2133, 68, F2, 3, 50) (dual of [(68, 3), 71, 51]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2134, 68, F2, 3, 50) (dual of [(68, 3), 70, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2132, 34, F2, 5, 50) (dual of [(34, 5), 38, 51]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2132, 34, F2, 6, 50) (dual of [(34, 6), 72, 51]-NRT-code) | [i] | ||