Information on Result #2763651
Linear OOA(2190, 50, F2, 4, 133) (dual of [(50, 4), 10, 134]-NRT-code), using strength reduction based on linear OOA(2190, 50, F2, 4, 134) (dual of [(50, 4), 10, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(328, 10, F32, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- linear OOA(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(328, 10, F32, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,32)), 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(2187, 49, F2, 4, 130) (dual of [(49, 4), 9, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2186, 49, F2, 4, 129) (dual of [(49, 4), 10, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(2182, 48, F2, 4, 125) (dual of [(48, 4), 10, 126]-NRT-code) | [i] | ||
| 4 | Linear OOA(2190, 25, F2, 8, 133) (dual of [(25, 8), 10, 134]-NRT-code) | [i] | OOA Folding | |