Information on Result #911150
Linear OOA(245, 27, F2, 2, 27) (dual of [(27, 2), 9, 28]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using
- extended Reed–Solomon code RSe(3,8) [i]
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
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(245, 27, F2, 2, 26) (dual of [(27, 2), 9, 27]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(245, 27, F2, 2, 25) (dual of [(27, 2), 9, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(245, 27, F2, 2, 24) (dual of [(27, 2), 9, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(246, 27, F2, 2, 27) (dual of [(27, 2), 8, 28]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(244, 26, F2, 2, 26) (dual of [(26, 2), 8, 27]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(243, 26, F2, 2, 25) (dual of [(26, 2), 9, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(242, 25, F2, 2, 24) (dual of [(25, 2), 8, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(241, 25, F2, 2, 23) (dual of [(25, 2), 9, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(240, 24, F2, 2, 22) (dual of [(24, 2), 8, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(2100, 55, F2, 2, 54) (dual of [(55, 2), 10, 55]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2100, 55, F2, 2, 55) (dual of [(55, 2), 10, 56]-NRT-code) | [i] | ||
| 12 | Linear OOA(245, 13, F2, 4, 27) (dual of [(13, 4), 7, 28]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(245, 9, F2, 6, 27) (dual of [(9, 6), 9, 28]-NRT-code) | [i] | ||