Information on Result #1028880
Linear OOA(2256, 117, F2, 3, 99) (dual of [(117, 3), 95, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3220, 39, F32, 19) (dual of [39, 19, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 43, F32, 19) (dual of [43, 23, 20]-code), using
- algebraic-geometric code AG(F,23P) [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(3220, 43, F32, 19) (dual of [43, 23, 20]-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]
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(2256, 117, F2, 3, 98) (dual of [(117, 3), 95, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2257, 117, F2, 3, 99) (dual of [(117, 3), 94, 100]-NRT-code) | [i] | OOA Duplication | |
3 | Linear OOA(2254, 116, F2, 3, 97) (dual of [(116, 3), 94, 98]-NRT-code) | [i] | Truncation for OOAs | |
4 | Linear OOA(2253, 116, F2, 3, 96) (dual of [(116, 3), 95, 97]-NRT-code) | [i] |