Information on Result #941513
Linear OOA(2109, 59, F2, 2, 62) (dual of [(59, 2), 9, 63]-NRT-code), using juxtaposition based on
- linear OOA(29, 9, F2, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 9, 9)-net over F2, using
- linear OOA(291, 50, F2, 2, 55) (dual of [(50, 2), 9, 56]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [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
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- concatenation of two NRT-codes [i] based on
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(2109, 59, F2, 2, 61) (dual of [(59, 2), 9, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 59, F2, 2, 60) (dual of [(59, 2), 9, 61]-NRT-code) | [i] | ||
| 3 | Linear OOA(2103, 56, F2, 2, 56) (dual of [(56, 2), 9, 57]-NRT-code) | [i] | Truncation for OOAs | |