Information on Result #906569
Linear OOA(762, 42, F7, 2, 38) (dual of [(42, 2), 22, 39]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(76, 7, F7, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,7) [i]
- linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,7) [i]
- linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,7) [i]
- linear OOA(712, 7, F7, 2, 12) (dual of [(7, 2), 2, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,7) [i]
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
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(762, 42, F7, 2, 37) (dual of [(42, 2), 22, 38]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(762, 42, F7, 2, 36) (dual of [(42, 2), 22, 37]-NRT-code) | [i] | ||
3 | Linear OOA(764, 43, F7, 2, 38) (dual of [(43, 2), 22, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
4 | Linear OOA(761, 41, F7, 2, 37) (dual of [(41, 2), 21, 38]-NRT-code) | [i] | Truncation for OOAs | |
5 | Linear OOA(760, 41, F7, 2, 36) (dual of [(41, 2), 22, 37]-NRT-code) | [i] |