Information on Result #911383
Linear OOA(271, 40, F2, 2, 41) (dual of [(40, 2), 9, 42]-NRT-code), using concatenation of two NRT-codes 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]
- 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(271, 40, F2, 2, 40) (dual of [(40, 2), 9, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(271, 40, F2, 2, 39) (dual of [(40, 2), 9, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(272, 40, F2, 2, 41) (dual of [(40, 2), 8, 42]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(270, 39, F2, 2, 40) (dual of [(39, 2), 8, 41]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(268, 38, F2, 2, 38) (dual of [(38, 2), 8, 39]-NRT-code) | [i] | ||
| 6 | Linear OOA(267, 38, F2, 2, 37) (dual of [(38, 2), 9, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(266, 37, F2, 2, 36) (dual of [(37, 2), 8, 37]-NRT-code) | [i] | ||
| 8 | Linear OOA(265, 37, F2, 2, 35) (dual of [(37, 2), 9, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(271, 20, F2, 4, 41) (dual of [(20, 4), 9, 42]-NRT-code) | [i] | OOA Folding | |