Information on Result #1087863
Linear OOA(2252, 65, F2, 4, 191) (dual of [(65, 4), 8, 192]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 13, F16, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- linear OOA(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(2252, 65, F2, 4, 190) (dual of [(65, 4), 8, 191]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2252, 65, F2, 4, 189) (dual of [(65, 4), 8, 190]-NRT-code) | [i] | ||
| 3 | Linear OOA(2252, 65, F2, 4, 188) (dual of [(65, 4), 8, 189]-NRT-code) | [i] | ||
| 4 | Linear OOA(2252, 65, F2, 4, 187) (dual of [(65, 4), 8, 188]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 65, F2, 4, 186) (dual of [(65, 4), 8, 187]-NRT-code) | [i] | ||
| 6 | Linear OOA(2252, 65, F2, 4, 185) (dual of [(65, 4), 8, 186]-NRT-code) | [i] | ||
| 7 | Linear OOA(2252, 65, F2, 4, 184) (dual of [(65, 4), 8, 185]-NRT-code) | [i] | ||
| 8 | Linear OOA(2252, 65, F2, 4, 183) (dual of [(65, 4), 8, 184]-NRT-code) | [i] | ||
| 9 | Linear OOA(2252, 65, F2, 4, 182) (dual of [(65, 4), 8, 183]-NRT-code) | [i] | ||
| 10 | Linear OOA(2252, 65, F2, 4, 181) (dual of [(65, 4), 8, 182]-NRT-code) | [i] | ||
| 11 | Linear OOA(2252, 65, F2, 4, 180) (dual of [(65, 4), 8, 181]-NRT-code) | [i] | ||
| 12 | Linear OOA(2252, 65, F2, 4, 179) (dual of [(65, 4), 8, 180]-NRT-code) | [i] | ||
| 13 | Linear OOA(2252, 65, F2, 4, 178) (dual of [(65, 4), 8, 179]-NRT-code) | [i] | ||
| 14 | Linear OOA(2252, 65, F2, 4, 177) (dual of [(65, 4), 8, 178]-NRT-code) | [i] | ||
| 15 | Linear OOA(2252, 65, F2, 4, 176) (dual of [(65, 4), 8, 177]-NRT-code) | [i] | ||
| 16 | Linear OOA(2256, 66, F2, 4, 191) (dual of [(66, 4), 8, 192]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 17 | Linear OOA(2253, 65, F2, 4, 191) (dual of [(65, 4), 7, 192]-NRT-code) | [i] | OOA Duplication | |
| 18 | Linear OOA(2249, 64, F2, 4, 188) (dual of [(64, 4), 7, 189]-NRT-code) | [i] | Truncation for OOAs | |
| 19 | Linear OOA(2248, 64, F2, 4, 187) (dual of [(64, 4), 8, 188]-NRT-code) | [i] | ||
| 20 | Linear OOA(2245, 63, F2, 4, 184) (dual of [(63, 4), 7, 185]-NRT-code) | [i] | ||
| 21 | Linear OOA(2244, 63, F2, 4, 183) (dual of [(63, 4), 8, 184]-NRT-code) | [i] | ||
| 22 | Linear OOA(2241, 62, F2, 4, 180) (dual of [(62, 4), 7, 181]-NRT-code) | [i] | ||
| 23 | Linear OOA(2240, 62, F2, 4, 179) (dual of [(62, 4), 8, 180]-NRT-code) | [i] | ||
| 24 | Linear OOA(2237, 61, F2, 4, 176) (dual of [(61, 4), 7, 177]-NRT-code) | [i] | ||
| 25 | Linear OOA(2236, 61, F2, 4, 175) (dual of [(61, 4), 8, 176]-NRT-code) | [i] | ||
| 26 | Linear OOA(2233, 60, F2, 4, 172) (dual of [(60, 4), 7, 173]-NRT-code) | [i] | ||
| 27 | Linear OOA(2229, 59, F2, 4, 168) (dual of [(59, 4), 7, 169]-NRT-code) | [i] | ||
| 28 | Linear OOA(2228, 59, F2, 4, 167) (dual of [(59, 4), 8, 168]-NRT-code) | [i] | ||
| 29 | Linear OOA(2225, 58, F2, 4, 164) (dual of [(58, 4), 7, 165]-NRT-code) | [i] | ||
| 30 | Linear OOA(2224, 58, F2, 4, 163) (dual of [(58, 4), 8, 164]-NRT-code) | [i] | ||
| 31 | Linear OOA(2221, 57, F2, 4, 160) (dual of [(57, 4), 7, 161]-NRT-code) | [i] | ||
| 32 | Linear OOA(2220, 57, F2, 4, 159) (dual of [(57, 4), 8, 160]-NRT-code) | [i] | ||
| 33 | Linear OOA(2217, 56, F2, 4, 156) (dual of [(56, 4), 7, 157]-NRT-code) | [i] | ||