Information on Result #906451
Linear OOA(7102, 56, F7, 2, 77) (dual of [(56, 2), 10, 78]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(711, 8, F7, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;5,7) [i]
- linear OOA(712, 8, F7, 2, 12) (dual of [(8, 2), 4, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,7) [i]
- linear OOA(715, 8, F7, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
- dual of repetition NRT-code with length 8 [i]
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-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(7102, 56, F7, 2, 76) (dual of [(56, 2), 10, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7102, 56, F7, 2, 75) (dual of [(56, 2), 10, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(7104, 57, F7, 2, 77) (dual of [(57, 2), 10, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(7106, 58, F7, 2, 77) (dual of [(58, 2), 10, 78]-NRT-code) | [i] | ||