Information on Result #2449328
Linear OOA(7100, 56, F7, 2, 73) (dual of [(56, 2), 12, 74]-NRT-code), using strength reduction based on linear OOA(7100, 56, F7, 2, 74) (dual of [(56, 2), 12, 75]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(710, 8, F7, 2, 10) (dual of [(8, 2), 6, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,7) [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(714, 8, F7, 2, 14) (dual of [(8, 2), 2, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,7) [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(710, 8, F7, 2, 10) (dual of [(8, 2), 6, 11]-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(7102, 57, F7, 2, 73) (dual of [(57, 2), 12, 74]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(7104, 58, F7, 2, 73) (dual of [(58, 2), 12, 74]-NRT-code) | [i] | ||
| 3 | Linear OOA(799, 55, F7, 2, 72) (dual of [(55, 2), 11, 73]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(798, 55, F7, 2, 71) (dual of [(55, 2), 12, 72]-NRT-code) | [i] | ||
| 5 | Linear OOA(797, 54, F7, 2, 70) (dual of [(54, 2), 11, 71]-NRT-code) | [i] | ||
| 6 | Linear OOA(796, 54, F7, 2, 69) (dual of [(54, 2), 12, 70]-NRT-code) | [i] | ||
| 7 | Linear OOA(795, 53, F7, 2, 68) (dual of [(53, 2), 11, 69]-NRT-code) | [i] | ||
| 8 | Linear OOA(794, 53, F7, 2, 67) (dual of [(53, 2), 12, 68]-NRT-code) | [i] | ||
| 9 | Linear OOA(793, 52, F7, 2, 66) (dual of [(52, 2), 11, 67]-NRT-code) | [i] | ||
| 10 | Linear OOA(792, 52, F7, 2, 65) (dual of [(52, 2), 12, 66]-NRT-code) | [i] | ||
| 11 | Linear OOA(791, 51, F7, 2, 64) (dual of [(51, 2), 11, 65]-NRT-code) | [i] | ||
| 12 | Linear OOA(790, 51, F7, 2, 63) (dual of [(51, 2), 12, 64]-NRT-code) | [i] | ||
| 13 | Linear OOA(789, 50, F7, 2, 62) (dual of [(50, 2), 11, 63]-NRT-code) | [i] | ||
| 14 | Linear OOA(788, 50, F7, 2, 61) (dual of [(50, 2), 12, 62]-NRT-code) | [i] | ||