Information on Result #2449292
Linear OOA(797, 56, F7, 2, 68) (dual of [(56, 2), 15, 69]-NRT-code), using strength reduction based on linear OOA(797, 56, F7, 2, 69) (dual of [(56, 2), 15, 70]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(79, 8, F7, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;7,7) [i]
- 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(713, 8, F7, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,7) [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)
- linear OOA(79, 8, F7, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(799, 57, F7, 2, 68) (dual of [(57, 2), 15, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(7101, 58, F7, 2, 68) (dual of [(58, 2), 15, 69]-NRT-code) | [i] | ||
| 3 | Linear OOA(798, 56, F7, 2, 68) (dual of [(56, 2), 14, 69]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(796, 55, F7, 2, 67) (dual of [(55, 2), 14, 68]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(795, 55, F7, 2, 66) (dual of [(55, 2), 15, 67]-NRT-code) | [i] | ||
| 6 | Linear OOA(794, 54, F7, 2, 65) (dual of [(54, 2), 14, 66]-NRT-code) | [i] | ||
| 7 | Linear OOA(793, 54, F7, 2, 64) (dual of [(54, 2), 15, 65]-NRT-code) | [i] | ||
| 8 | Linear OOA(792, 53, F7, 2, 63) (dual of [(53, 2), 14, 64]-NRT-code) | [i] | ||
| 9 | Linear OOA(791, 53, F7, 2, 62) (dual of [(53, 2), 15, 63]-NRT-code) | [i] | ||
| 10 | Linear OOA(790, 52, F7, 2, 61) (dual of [(52, 2), 14, 62]-NRT-code) | [i] | ||
| 11 | Linear OOA(789, 52, F7, 2, 60) (dual of [(52, 2), 15, 61]-NRT-code) | [i] | ||
| 12 | Linear OOA(788, 51, F7, 2, 59) (dual of [(51, 2), 14, 60]-NRT-code) | [i] | ||
| 13 | Linear OOA(787, 51, F7, 2, 58) (dual of [(51, 2), 15, 59]-NRT-code) | [i] | ||
| 14 | Linear OOA(786, 50, F7, 2, 57) (dual of [(50, 2), 14, 58]-NRT-code) | [i] | ||
| 15 | Linear OOA(785, 50, F7, 2, 56) (dual of [(50, 2), 15, 57]-NRT-code) | [i] | ||