Information on Result #912101
Linear OOA(2245, 150, F2, 2, 99) (dual of [(150, 2), 55, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3219, 30, F32, 19) (dual of [30, 11, 20]-code or 30-arc in PG(18,32)), using
- discarding factors / shortening the dual code based on linear OA(3219, 32, F32, 19) (dual of [32, 13, 20]-code or 32-arc in PG(18,32)), using
- Reed–Solomon code RS(13,32) [i]
- discarding factors / shortening the dual code based on linear OA(3219, 32, F32, 19) (dual of [32, 13, 20]-code or 32-arc in PG(18,32)), 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(2245, 150, F2, 2, 98) (dual of [(150, 2), 55, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2245, 150, F2, 2, 97) (dual of [(150, 2), 55, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2245, 150, F2, 2, 96) (dual of [(150, 2), 55, 97]-NRT-code) | [i] | ||
| 4 | Linear OOA(2247, 151, F2, 2, 99) (dual of [(151, 2), 55, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2249, 152, F2, 2, 99) (dual of [(152, 2), 55, 100]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 150, F2, 2, 99) (dual of [(150, 2), 54, 100]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2244, 149, F2, 2, 98) (dual of [(149, 2), 54, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2243, 149, F2, 2, 97) (dual of [(149, 2), 55, 98]-NRT-code) | [i] | ||
| 9 | Linear OOA(2242, 148, F2, 2, 96) (dual of [(148, 2), 54, 97]-NRT-code) | [i] | ||
| 10 | Linear OOA(2241, 148, F2, 2, 95) (dual of [(148, 2), 55, 96]-NRT-code) | [i] | ||
| 11 | Linear OOA(2245, 75, F2, 4, 99) (dual of [(75, 4), 55, 100]-NRT-code) | [i] | OOA Folding | |