Information on Result #911384
Linear OOA(264, 35, F2, 2, 41) (dual of [(35, 2), 6, 42]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(264, 35, F2, 2, 40) (dual of [(35, 2), 6, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(264, 35, F2, 2, 39) (dual of [(35, 2), 6, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(264, 35, F2, 2, 38) (dual of [(35, 2), 6, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(264, 35, F2, 2, 37) (dual of [(35, 2), 6, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(264, 35, F2, 2, 36) (dual of [(35, 2), 6, 37]-NRT-code) | [i] | ||
| 6 | Linear OOA(266, 36, F2, 2, 41) (dual of [(36, 2), 6, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(265, 35, F2, 2, 41) (dual of [(35, 2), 5, 42]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(263, 34, F2, 2, 40) (dual of [(34, 2), 5, 41]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(262, 34, F2, 2, 39) (dual of [(34, 2), 6, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(261, 33, F2, 2, 38) (dual of [(33, 2), 5, 39]-NRT-code) | [i] | ||
| 11 | Linear OOA(260, 33, F2, 2, 37) (dual of [(33, 2), 6, 38]-NRT-code) | [i] | ||
| 12 | Linear OOA(259, 32, F2, 2, 36) (dual of [(32, 2), 5, 37]-NRT-code) | [i] | ||
| 13 | Linear OOA(256, 31, F2, 2, 33) (dual of [(31, 2), 6, 34]-NRT-code) | [i] | ||
| 14 | Linear OOA(2190, 98, F2, 2, 121) (dual of [(98, 2), 6, 122]-NRT-code) | [i] | Juxtaposition for OOAs | |