Information on Result #1029753
Linear OOA(2159, 92, F2, 3, 55) (dual of [(92, 3), 117, 56]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(830, 23, F8, 3, 27) (dual of [(23, 3), 39, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 24, F8, 3, 27) (dual of [(24, 3), 42, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(830, 24, F8, 3, 27) (dual of [(24, 3), 42, 28]-NRT-code), 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(2159, 92, F2, 3, 54) (dual of [(92, 3), 117, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2160, 92, F2, 3, 55) (dual of [(92, 3), 116, 56]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2161, 92, F2, 3, 55) (dual of [(92, 3), 115, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(2158, 91, F2, 3, 54) (dual of [(91, 3), 115, 55]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2159, 46, F2, 5, 55) (dual of [(46, 5), 71, 56]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2159, 46, F2, 6, 55) (dual of [(46, 6), 117, 56]-NRT-code) | [i] | ||