Information on Result #1028926
Linear OOA(2200, 75, F2, 3, 109) (dual of [(75, 3), 25, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3210, 15, F32, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,32)), using
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [i]
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), 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(2200, 75, F2, 3, 108) (dual of [(75, 3), 25, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2200, 75, F2, 3, 107) (dual of [(75, 3), 25, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2200, 75, F2, 3, 106) (dual of [(75, 3), 25, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(2200, 75, F2, 3, 105) (dual of [(75, 3), 25, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(2203, 76, F2, 3, 109) (dual of [(76, 3), 25, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2202, 75, F2, 3, 109) (dual of [(75, 3), 23, 110]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2199, 74, F2, 3, 108) (dual of [(74, 3), 23, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2198, 74, F2, 3, 107) (dual of [(74, 3), 24, 108]-NRT-code) | [i] | ||
| 9 | Linear OOA(2197, 74, F2, 3, 106) (dual of [(74, 3), 25, 107]-NRT-code) | [i] | ||
| 10 | Linear OOA(2196, 73, F2, 3, 105) (dual of [(73, 3), 23, 106]-NRT-code) | [i] | ||
| 11 | Linear OOA(2195, 73, F2, 3, 104) (dual of [(73, 3), 24, 105]-NRT-code) | [i] | ||
| 12 | Linear OOA(2194, 73, F2, 3, 103) (dual of [(73, 3), 25, 104]-NRT-code) | [i] | ||
| 13 | Linear OOA(2193, 72, F2, 3, 102) (dual of [(72, 3), 23, 103]-NRT-code) | [i] | ||
| 14 | Linear OOA(2200, 37, F2, 6, 109) (dual of [(37, 6), 22, 110]-NRT-code) | [i] | OOA Folding | |