Information on Result #906461

Linear OOA(789, 49, F7, 2, 69) (dual of [(49, 2), 9, 70]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
  2. linear OOA(711, 7, F7, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
  3. linear OOA(713, 7, F7, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
  4. linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
  5. linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
  6. linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
  7. 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:

ResultThis
result
only		Method
1Linear OOA(789, 49, F7, 2, 68) (dual of [(49, 2), 9, 69]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(789, 49, F7, 2, 67) (dual of [(49, 2), 9, 68]-NRT-code) [i]
3Linear OOA(789, 49, F7, 2, 66) (dual of [(49, 2), 9, 67]-NRT-code) [i]
4Linear OOA(791, 50, F7, 2, 69) (dual of [(50, 2), 9, 70]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(787, 48, F7, 2, 67) (dual of [(48, 2), 9, 68]-NRT-code) [i]Truncation for OOAs
6Linear OOA(785, 47, F7, 2, 65) (dual of [(47, 2), 9, 66]-NRT-code) [i]
7Linear OOA(783, 46, F7, 2, 63) (dual of [(46, 2), 9, 64]-NRT-code) [i]
8Linear OOA(782, 45, F7, 2, 62) (dual of [(45, 2), 8, 63]-NRT-code) [i]
9Linear OOA(781, 45, F7, 2, 61) (dual of [(45, 2), 9, 62]-NRT-code) [i]
10Linear OOA(779, 44, F7, 2, 59) (dual of [(44, 2), 9, 60]-NRT-code) [i]
11Linear OOA(777, 43, F7, 2, 57) (dual of [(43, 2), 9, 58]-NRT-code) [i]
12Linear OOA(775, 42, F7, 2, 55) (dual of [(42, 2), 9, 56]-NRT-code) [i]
13Linear OOA(7109, 59, F7, 2, 80) (dual of [(59, 2), 9, 81]-NRT-code) [i]Juxtaposition for OOAs