Information on Result #1088040
Linear OOA(2228, 75, F2, 4, 97) (dual of [(75, 4), 72, 98]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6413, 25, F64, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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(2228, 75, F2, 4, 96) (dual of [(75, 4), 72, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2228, 75, F2, 4, 95) (dual of [(75, 4), 72, 96]-NRT-code) | [i] | ||
| 3 | Linear OOA(2228, 75, F2, 4, 94) (dual of [(75, 4), 72, 95]-NRT-code) | [i] | ||
| 4 | Linear OOA(2228, 75, F2, 4, 93) (dual of [(75, 4), 72, 94]-NRT-code) | [i] | ||
| 5 | Linear OOA(2228, 75, F2, 4, 92) (dual of [(75, 4), 72, 93]-NRT-code) | [i] | ||
| 6 | Linear OOA(2232, 76, F2, 4, 97) (dual of [(76, 4), 72, 98]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2229, 75, F2, 4, 97) (dual of [(75, 4), 71, 98]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2230, 75, F2, 4, 97) (dual of [(75, 4), 70, 98]-NRT-code) | [i] | ||
| 9 | Linear OOA(2231, 75, F2, 4, 97) (dual of [(75, 4), 69, 98]-NRT-code) | [i] | ||
| 10 | Linear OOA(2227, 74, F2, 4, 96) (dual of [(74, 4), 69, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2226, 74, F2, 4, 95) (dual of [(74, 4), 70, 96]-NRT-code) | [i] | ||
| 12 | Linear OOA(2225, 74, F2, 4, 94) (dual of [(74, 4), 71, 95]-NRT-code) | [i] | ||
| 13 | Linear OOA(2224, 74, F2, 4, 93) (dual of [(74, 4), 72, 94]-NRT-code) | [i] | ||
| 14 | Linear OOA(2223, 73, F2, 4, 92) (dual of [(73, 4), 69, 93]-NRT-code) | [i] | ||
| 15 | Linear OOA(2222, 73, F2, 4, 91) (dual of [(73, 4), 70, 92]-NRT-code) | [i] | ||
| 16 | Linear OOA(2221, 73, F2, 4, 90) (dual of [(73, 4), 71, 91]-NRT-code) | [i] | ||
| 17 | Linear OOA(2220, 73, F2, 4, 89) (dual of [(73, 4), 72, 90]-NRT-code) | [i] | ||
| 18 | Linear OOA(2228, 37, F2, 7, 97) (dual of [(37, 7), 31, 98]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2228, 37, F2, 8, 97) (dual of [(37, 8), 68, 98]-NRT-code) | [i] | ||