Information on Result #906495

Linear OOA(785, 56, F7, 2, 51) (dual of [(56, 2), 27, 52]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(77, 8, F7, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
  2. linear OOA(78, 8, F7, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
  3. linear OOA(710, 8, F7, 2, 10) (dual of [(8, 2), 6, 11]-NRT-code), using
  4. linear OOA(712, 8, F7, 2, 12) (dual of [(8, 2), 4, 13]-NRT-code), using
  5. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  6. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  7. 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:

ResultThis
result
only		Method
1Linear OOA(785, 56, F7, 2, 50) (dual of [(56, 2), 27, 51]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(785, 56, F7, 2, 49) (dual of [(56, 2), 27, 50]-NRT-code) [i]
3Linear OOA(787, 57, F7, 2, 51) (dual of [(57, 2), 27, 52]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(784, 55, F7, 2, 50) (dual of [(55, 2), 26, 51]-NRT-code) [i]Truncation for OOAs
5Linear OOA(783, 55, F7, 2, 49) (dual of [(55, 2), 27, 50]-NRT-code) [i]
6Linear OOA(782, 54, F7, 2, 48) (dual of [(54, 2), 26, 49]-NRT-code) [i]