Information on Result #1028923
Linear OOA(2165, 60, F2, 3, 99) (dual of [(60, 3), 15, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(329, 12, F32, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2165, 60, F2, 3, 98) (dual of [(60, 3), 15, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2168, 61, F2, 3, 99) (dual of [(61, 3), 15, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2166, 60, F2, 3, 99) (dual of [(60, 3), 14, 100]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2167, 60, F2, 3, 99) (dual of [(60, 3), 13, 100]-NRT-code) | [i] | ||
| 5 | Linear OOA(2165, 30, F2, 6, 99) (dual of [(30, 6), 15, 100]-NRT-code) | [i] | OOA Folding | |