Information on Result #661804
Linear OA(283, 90, F2, 43) (dual of [90, 7, 44]-code), using (u, u+v)-construction based on
- linear OA(239, 45, F2, 21) (dual of [45, 6, 22]-code), using
- a code of Belov type defined by PG(5,2) ∖ (PG(3,2) ∪ PG(1,2)) [i]
- linear OA(244, 45, F2, 43) (dual of [45, 1, 44]-code), using
- strength reduction [i] based on linear OA(244, 45, F2, 44) (dual of [45, 1, 45]-code or 45-arc in PG(43,2)), using
- dual of repetition code with length 45 [i]
- strength reduction [i] based on linear OA(244, 45, F2, 44) (dual of [45, 1, 45]-code or 45-arc in PG(43,2)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(283, 90, F2, 42) (dual of [90, 7, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(282, 89, F2, 42) (dual of [89, 7, 43]-code) | [i] | Truncation | |
| 3 | Linear OA(281, 88, F2, 41) (dual of [88, 7, 42]-code) | [i] | ||
| 4 | Linear OOA(283, 45, F2, 2, 43) (dual of [(45, 2), 7, 44]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(283, 30, F2, 3, 43) (dual of [(30, 3), 7, 44]-NRT-code) | [i] | ||
| 6 | Linear OOA(283, 18, F2, 5, 43) (dual of [(18, 5), 7, 44]-NRT-code) | [i] | ||