Information on Result #912078
Linear OOA(2195, 115, F2, 2, 84) (dual of [(115, 2), 35, 85]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3216, 23, F32, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,32)), using
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
- Reed–Solomon code RS(16,32) [i]
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), 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, 115, F2, 2, 83) (dual of [(115, 2), 35, 84]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2195, 115, F2, 2, 82) (dual of [(115, 2), 35, 83]-NRT-code) | [i] | ||
| 3 | Linear OOA(2195, 115, F2, 2, 81) (dual of [(115, 2), 35, 82]-NRT-code) | [i] | ||
| 4 | Linear OOA(2195, 115, F2, 2, 80) (dual of [(115, 2), 35, 81]-NRT-code) | [i] | ||
| 5 | Linear OOA(2197, 116, F2, 2, 84) (dual of [(116, 2), 35, 85]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2196, 115, F2, 2, 84) (dual of [(115, 2), 34, 85]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2195, 57, F2, 4, 84) (dual of [(57, 4), 33, 85]-NRT-code) | [i] | OOA Folding | |