Information on Result #912117
Linear OOA(2250, 145, F2, 2, 109) (dual of [(145, 2), 40, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3221, 29, F32, 21) (dual of [29, 8, 22]-code or 29-arc in PG(20,32)), using
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
- Reed–Solomon code RS(11,32) [i]
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), 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(2250, 145, F2, 2, 108) (dual of [(145, 2), 40, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2252, 146, F2, 2, 109) (dual of [(146, 2), 40, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2254, 147, F2, 2, 109) (dual of [(147, 2), 40, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 145, F2, 2, 109) (dual of [(145, 2), 39, 110]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2249, 144, F2, 2, 108) (dual of [(144, 2), 39, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2248, 144, F2, 2, 107) (dual of [(144, 2), 40, 108]-NRT-code) | [i] | ||
| 7 | Linear OOA(2247, 143, F2, 2, 106) (dual of [(143, 2), 39, 107]-NRT-code) | [i] | ||
| 8 | Linear OOA(2246, 143, F2, 2, 105) (dual of [(143, 2), 40, 106]-NRT-code) | [i] | ||
| 9 | Linear OOA(2250, 72, F2, 4, 109) (dual of [(72, 4), 38, 110]-NRT-code) | [i] | OOA Folding | |