Information on Result #2767328
Linear OOA(2246, 81, F2, 4, 101) (dual of [(81, 4), 78, 102]-NRT-code), using strength reduction based on linear OOA(2246, 81, F2, 4, 104) (dual of [(81, 4), 78, 105]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(6414, 27, F64, 14) (dual of [27, 13, 15]-code or 27-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]
- linear OA(6414, 27, F64, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,64)), 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(2247, 81, F2, 4, 101) (dual of [(81, 4), 77, 102]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2245, 80, F2, 4, 100) (dual of [(80, 4), 75, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2244, 80, F2, 4, 99) (dual of [(80, 4), 76, 100]-NRT-code) | [i] | ||
| 4 | Linear OOA(2243, 80, F2, 4, 98) (dual of [(80, 4), 77, 99]-NRT-code) | [i] | ||