Information on Result #2768172
Linear OOA(2258, 84, F2, 4, 107) (dual of [(84, 4), 78, 108]-NRT-code), using strength reduction based on linear OOA(2258, 84, F2, 4, 111) (dual of [(84, 4), 78, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(6415, 28, F64, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), 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(6415, 28, F64, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,64)), 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(2259, 84, F2, 4, 107) (dual of [(84, 4), 77, 108]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2260, 84, F2, 4, 107) (dual of [(84, 4), 76, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 83, F2, 4, 106) (dual of [(83, 4), 75, 107]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2256, 83, F2, 4, 105) (dual of [(83, 4), 76, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(2258, 42, F2, 7, 107) (dual of [(42, 7), 36, 108]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2258, 42, F2, 8, 107) (dual of [(42, 8), 78, 108]-NRT-code) | [i] | ||