Information on Result #894617
Linear OOA(277, 42, F2, 2, 41) (dual of [(42, 2), 7, 42]-NRT-code), using (u, u+v)-construction based on
- linear OOA(236, 21, F2, 2, 20) (dual of [(21, 2), 6, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(236, 22, F2, 2, 20) (dual of [(22, 2), 8, 21]-NRT-code), using
- 3 step truncation [i] based on linear OOA(239, 24, F2, 2, 23) (dual of [(24, 2), 9, 24]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- concatenation of two NRT-codes [i] based on
- 3 step truncation [i] based on linear OOA(239, 24, F2, 2, 23) (dual of [(24, 2), 9, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(236, 22, F2, 2, 20) (dual of [(22, 2), 8, 21]-NRT-code), using
- linear OOA(241, 21, F2, 2, 41) (dual of [(21, 2), 1, 42]-NRT-code), using
- dual of repetition NRT-code with length 21 [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(2160, 84, F2, 2, 82) (dual of [(84, 2), 8, 83]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2160, 84, F2, 2, 83) (dual of [(84, 2), 8, 84]-NRT-code) | [i] | ||