Information on Result #1088028
Linear OOA(2222, 75, F2, 4, 90) (dual of [(75, 4), 78, 91]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6412, 25, F64, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;6,2) [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(2222, 75, F2, 4, 89) (dual of [(75, 4), 78, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 75, F2, 4, 88) (dual of [(75, 4), 78, 89]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 75, F2, 4, 87) (dual of [(75, 4), 78, 88]-NRT-code) | [i] | ||
| 4 | Linear OOA(2226, 76, F2, 4, 90) (dual of [(76, 4), 78, 91]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2223, 75, F2, 4, 90) (dual of [(75, 4), 77, 91]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2224, 75, F2, 4, 90) (dual of [(75, 4), 76, 91]-NRT-code) | [i] | ||
| 7 | Linear OOA(2225, 75, F2, 4, 90) (dual of [(75, 4), 75, 91]-NRT-code) | [i] | ||
| 8 | Linear OOA(2221, 74, F2, 4, 89) (dual of [(74, 4), 75, 90]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2220, 74, F2, 4, 88) (dual of [(74, 4), 76, 89]-NRT-code) | [i] | ||
| 10 | Linear OOA(2219, 74, F2, 4, 87) (dual of [(74, 4), 77, 88]-NRT-code) | [i] | ||
| 11 | Linear OOA(2218, 74, F2, 4, 86) (dual of [(74, 4), 78, 87]-NRT-code) | [i] | ||
| 12 | Linear OOA(2217, 73, F2, 4, 85) (dual of [(73, 4), 75, 86]-NRT-code) | [i] | ||
| 13 | Linear OOA(2216, 73, F2, 4, 84) (dual of [(73, 4), 76, 85]-NRT-code) | [i] | ||
| 14 | Linear OOA(2215, 73, F2, 4, 83) (dual of [(73, 4), 77, 84]-NRT-code) | [i] | ||
| 15 | Linear OOA(2214, 73, F2, 4, 82) (dual of [(73, 4), 78, 83]-NRT-code) | [i] | ||
| 16 | Linear OOA(2222, 37, F2, 8, 90) (dual of [(37, 8), 74, 91]-NRT-code) | [i] | OOA Folding | |