Information on Result #2619353
Linear OOA(2249, 108, F2, 3, 103) (dual of [(108, 3), 75, 104]-NRT-code), using strength reduction based on linear OOA(2249, 108, F2, 3, 104) (dual of [(108, 3), 75, 105]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3221, 36, F32, 20) (dual of [36, 15, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- algebraic-geometric code AG(F,22P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [i]
- linear OA(3221, 36, F32, 20) (dual of [36, 15, 21]-code), 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(2250, 108, F2, 3, 103) (dual of [(108, 3), 74, 104]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2251, 108, F2, 3, 103) (dual of [(108, 3), 73, 104]-NRT-code) | [i] | ||
| 3 | Linear OOA(2248, 107, F2, 3, 102) (dual of [(107, 3), 73, 103]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2249, 54, F2, 6, 103) (dual of [(54, 6), 75, 104]-NRT-code) | [i] | OOA Folding | |