Information on Result #912063
Linear OOA(2195, 120, F2, 2, 79) (dual of [(120, 2), 45, 80]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3215, 24, F32, 15) (dual of [24, 9, 16]-code or 24-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(2195, 120, F2, 2, 78) (dual of [(120, 2), 45, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2195, 120, F2, 2, 77) (dual of [(120, 2), 45, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(2195, 120, F2, 2, 76) (dual of [(120, 2), 45, 77]-NRT-code) | [i] | ||
| 4 | Linear OOA(2197, 121, F2, 2, 79) (dual of [(121, 2), 45, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2199, 122, F2, 2, 79) (dual of [(122, 2), 45, 80]-NRT-code) | [i] | ||
| 6 | Linear OOA(2196, 120, F2, 2, 79) (dual of [(120, 2), 44, 80]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2194, 119, F2, 2, 78) (dual of [(119, 2), 44, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2193, 119, F2, 2, 77) (dual of [(119, 2), 45, 78]-NRT-code) | [i] | ||
| 9 | Linear OOA(2192, 118, F2, 2, 76) (dual of [(118, 2), 44, 77]-NRT-code) | [i] | ||
| 10 | Linear OOA(2191, 118, F2, 2, 75) (dual of [(118, 2), 45, 76]-NRT-code) | [i] | ||
| 11 | Linear OOA(2195, 60, F2, 4, 79) (dual of [(60, 4), 45, 80]-NRT-code) | [i] | OOA Folding | |