Information on Result #1028646
Linear OOA(2112, 40, F2, 3, 76) (dual of [(40, 3), 8, 77]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(166, 8, F16, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [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(2112, 40, F2, 3, 75) (dual of [(40, 3), 8, 76]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2112, 40, F2, 3, 74) (dual of [(40, 3), 8, 75]-NRT-code) | [i] | ||
| 3 | Linear OOA(2112, 40, F2, 3, 73) (dual of [(40, 3), 8, 74]-NRT-code) | [i] | ||
| 4 | Linear OOA(2112, 40, F2, 3, 72) (dual of [(40, 3), 8, 73]-NRT-code) | [i] | ||
| 5 | Linear OOA(2112, 40, F2, 3, 71) (dual of [(40, 3), 8, 72]-NRT-code) | [i] | ||
| 6 | Linear OOA(2112, 40, F2, 3, 70) (dual of [(40, 3), 8, 71]-NRT-code) | [i] | ||
| 7 | Linear OOA(2115, 41, F2, 3, 76) (dual of [(41, 3), 8, 77]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2113, 40, F2, 3, 76) (dual of [(40, 3), 7, 77]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2110, 39, F2, 3, 74) (dual of [(39, 3), 7, 75]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2109, 39, F2, 3, 73) (dual of [(39, 3), 8, 74]-NRT-code) | [i] | ||
| 11 | Linear OOA(2108, 38, F2, 3, 72) (dual of [(38, 3), 6, 73]-NRT-code) | [i] | ||
| 12 | Linear OOA(2107, 38, F2, 3, 71) (dual of [(38, 3), 7, 72]-NRT-code) | [i] | ||
| 13 | Linear OOA(2106, 38, F2, 3, 70) (dual of [(38, 3), 8, 71]-NRT-code) | [i] | ||
| 14 | Linear OOA(2104, 37, F2, 3, 68) (dual of [(37, 3), 7, 69]-NRT-code) | [i] | ||
| 15 | Linear OOA(2103, 37, F2, 3, 67) (dual of [(37, 3), 8, 68]-NRT-code) | [i] | ||
| 16 | Linear OOA(298, 35, F2, 3, 62) (dual of [(35, 3), 7, 63]-NRT-code) | [i] | ||
| 17 | Linear OOA(2112, 20, F2, 6, 76) (dual of [(20, 6), 8, 77]-NRT-code) | [i] | OOA Folding | |