Information on Result #912065
Linear OOA(2185, 110, F2, 2, 79) (dual of [(110, 2), 35, 80]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3215, 22, F32, 15) (dual of [22, 7, 16]-code or 22-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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(2185, 110, F2, 2, 78) (dual of [(110, 2), 35, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 111, F2, 2, 79) (dual of [(111, 2), 35, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2186, 110, F2, 2, 79) (dual of [(110, 2), 34, 80]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2184, 109, F2, 2, 78) (dual of [(109, 2), 34, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2183, 109, F2, 2, 77) (dual of [(109, 2), 35, 78]-NRT-code) | [i] | ||
| 6 | Linear OOA(2182, 108, F2, 2, 76) (dual of [(108, 2), 34, 77]-NRT-code) | [i] | ||
| 7 | Linear OOA(2181, 108, F2, 2, 75) (dual of [(108, 2), 35, 76]-NRT-code) | [i] | ||
| 8 | Linear OOA(2185, 55, F2, 4, 79) (dual of [(55, 4), 35, 80]-NRT-code) | [i] | OOA Folding | |