Information on Result #1088052
Linear OOA(2228, 72, F2, 4, 104) (dual of [(72, 4), 60, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6414, 24, F64, 14) (dual of [24, 10, 15]-code or 24-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), 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(2232, 73, F2, 4, 104) (dual of [(73, 4), 60, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2229, 72, F2, 4, 104) (dual of [(72, 4), 59, 105]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2230, 72, F2, 4, 104) (dual of [(72, 4), 58, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(2227, 71, F2, 4, 103) (dual of [(71, 4), 57, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2226, 71, F2, 4, 102) (dual of [(71, 4), 58, 103]-NRT-code) | [i] | ||
| 6 | Linear OOA(2225, 71, F2, 4, 101) (dual of [(71, 4), 59, 102]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 71, F2, 4, 100) (dual of [(71, 4), 60, 101]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 70, F2, 4, 99) (dual of [(70, 4), 57, 100]-NRT-code) | [i] | ||
| 9 | Linear OOA(2222, 70, F2, 4, 98) (dual of [(70, 4), 58, 99]-NRT-code) | [i] | ||
| 10 | Linear OOA(2221, 70, F2, 4, 97) (dual of [(70, 4), 59, 98]-NRT-code) | [i] | ||
| 11 | Linear OOA(2220, 70, F2, 4, 96) (dual of [(70, 4), 60, 97]-NRT-code) | [i] | ||
| 12 | Linear OOA(2218, 69, F2, 4, 94) (dual of [(69, 4), 58, 95]-NRT-code) | [i] | ||
| 13 | Linear OOA(2217, 69, F2, 4, 93) (dual of [(69, 4), 59, 94]-NRT-code) | [i] | ||
| 14 | Linear OOA(2228, 36, F2, 7, 104) (dual of [(36, 7), 24, 105]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2228, 36, F2, 8, 104) (dual of [(36, 8), 60, 105]-NRT-code) | [i] | ||