Information on Result #1028482
Linear OOA(2119, 45, F2, 3, 71) (dual of [(45, 3), 16, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 15, F16, 11) (dual of [15, 4, 12]-code or 15-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(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
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(2119, 45, F2, 3, 70) (dual of [(45, 3), 16, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2119, 45, F2, 3, 69) (dual of [(45, 3), 16, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(2119, 45, F2, 3, 68) (dual of [(45, 3), 16, 69]-NRT-code) | [i] | ||
| 4 | Linear OOA(2119, 45, F2, 3, 67) (dual of [(45, 3), 16, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(2120, 45, F2, 3, 71) (dual of [(45, 3), 15, 72]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2121, 45, F2, 3, 71) (dual of [(45, 3), 14, 72]-NRT-code) | [i] | ||
| 7 | Linear OOA(2118, 44, F2, 3, 70) (dual of [(44, 3), 14, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2117, 44, F2, 3, 69) (dual of [(44, 3), 15, 70]-NRT-code) | [i] | ||
| 9 | Linear OOA(2116, 44, F2, 3, 68) (dual of [(44, 3), 16, 69]-NRT-code) | [i] | ||
| 10 | Linear OOA(2115, 43, F2, 3, 67) (dual of [(43, 3), 14, 68]-NRT-code) | [i] | ||
| 11 | Linear OOA(2114, 43, F2, 3, 66) (dual of [(43, 3), 15, 67]-NRT-code) | [i] | ||
| 12 | Linear OOA(2113, 43, F2, 3, 65) (dual of [(43, 3), 16, 66]-NRT-code) | [i] | ||
| 13 | Linear OOA(2112, 42, F2, 3, 64) (dual of [(42, 3), 14, 65]-NRT-code) | [i] | ||
| 14 | Linear OOA(2111, 42, F2, 3, 63) (dual of [(42, 3), 15, 64]-NRT-code) | [i] | ||
| 15 | Linear OOA(2119, 22, F2, 6, 71) (dual of [(22, 6), 13, 72]-NRT-code) | [i] | OOA Folding | |