Information on Result #1088064
Linear OOA(2242, 65, F2, 4, 153) (dual of [(65, 4), 18, 154]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6410, 13, F64, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- linear OOA(214, 5, F2, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,6P) [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(2242, 65, F2, 4, 152) (dual of [(65, 4), 18, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2242, 65, F2, 4, 151) (dual of [(65, 4), 18, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(2242, 65, F2, 4, 150) (dual of [(65, 4), 18, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(2242, 65, F2, 4, 149) (dual of [(65, 4), 18, 150]-NRT-code) | [i] | ||
| 5 | Linear OOA(2242, 65, F2, 4, 148) (dual of [(65, 4), 18, 149]-NRT-code) | [i] | ||
| 6 | Linear OOA(2242, 65, F2, 4, 147) (dual of [(65, 4), 18, 148]-NRT-code) | [i] | ||
| 7 | Linear OOA(2242, 65, F2, 4, 146) (dual of [(65, 4), 18, 147]-NRT-code) | [i] | ||
| 8 | Linear OOA(2242, 65, F2, 4, 145) (dual of [(65, 4), 18, 146]-NRT-code) | [i] | ||
| 9 | Linear OOA(2242, 65, F2, 4, 144) (dual of [(65, 4), 18, 145]-NRT-code) | [i] | ||
| 10 | Linear OOA(2246, 66, F2, 4, 153) (dual of [(66, 4), 18, 154]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 11 | Linear OOA(2243, 65, F2, 4, 153) (dual of [(65, 4), 17, 154]-NRT-code) | [i] | OOA Duplication | |
| 12 | Linear OOA(2241, 64, F2, 4, 152) (dual of [(64, 4), 15, 153]-NRT-code) | [i] | Truncation for OOAs | |
| 13 | Linear OOA(2239, 64, F2, 4, 150) (dual of [(64, 4), 17, 151]-NRT-code) | [i] | ||
| 14 | Linear OOA(2238, 64, F2, 4, 149) (dual of [(64, 4), 18, 150]-NRT-code) | [i] | ||
| 15 | Linear OOA(2235, 63, F2, 4, 146) (dual of [(63, 4), 17, 147]-NRT-code) | [i] | ||
| 16 | Linear OOA(2234, 63, F2, 4, 145) (dual of [(63, 4), 18, 146]-NRT-code) | [i] | ||