Information on Result #1028893
Linear OOA(2257, 114, F2, 3, 104) (dual of [(114, 3), 85, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3221, 38, F32, 20) (dual of [38, 17, 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]
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(2257, 114, F2, 3, 103) (dual of [(114, 3), 85, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 114, F2, 3, 102) (dual of [(114, 3), 85, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 114, F2, 3, 101) (dual of [(114, 3), 85, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(2260, 115, F2, 3, 104) (dual of [(115, 3), 85, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2258, 114, F2, 3, 104) (dual of [(114, 3), 84, 105]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2259, 114, F2, 3, 104) (dual of [(114, 3), 83, 105]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 113, F2, 3, 103) (dual of [(113, 3), 83, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2255, 113, F2, 3, 102) (dual of [(113, 3), 84, 103]-NRT-code) | [i] | ||
| 9 | Linear OOA(2254, 113, F2, 3, 101) (dual of [(113, 3), 85, 102]-NRT-code) | [i] | ||
| 10 | Linear OOA(2257, 57, F2, 6, 104) (dual of [(57, 6), 85, 105]-NRT-code) | [i] | OOA Folding | |