Information on Result #1049617
Linear OOA(2259, 105, F2, 3, 117) (dual of [(105, 3), 56, 118]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(477, 35, F4, 3, 58) (dual of [(35, 3), 28, 59]-NRT-code), using
- construction X applied to AG(3;F,37P) ⊂ AG(3;F,42P) [i] based on
- linear OOA(473, 32, F4, 3, 58) (dual of [(32, 3), 23, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(468, 32, F4, 3, 53) (dual of [(32, 3), 28, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,42P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- construction X applied to AG(3;F,37P) ⊂ AG(3;F,42P) [i] based on
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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, 105, F2, 3, 116) (dual of [(105, 3), 56, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2259, 105, F2, 3, 115) (dual of [(105, 3), 56, 116]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 104, F2, 3, 116) (dual of [(104, 3), 54, 117]-NRT-code) | [i] | Truncation for OOAs | |