Information on Result #906448

Linear OOA(7104, 56, F7, 2, 83) (dual of [(56, 2), 8, 84]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(711, 8, F7, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
  2. linear OOA(713, 8, F7, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
  3. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  4. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  5. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code) (see above)
  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(7104, 56, F7, 2, 82) (dual of [(56, 2), 8, 83]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(7106, 57, F7, 2, 83) (dual of [(57, 2), 8, 84]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(7108, 58, F7, 2, 83) (dual of [(58, 2), 8, 84]-NRT-code) [i]
4Linear OOA(7110, 59, F7, 2, 83) (dual of [(59, 2), 8, 84]-NRT-code) [i]
5Linear OOA(7103, 55, F7, 2, 82) (dual of [(55, 2), 7, 83]-NRT-code) [i]Truncation for OOAs
6Linear OOA(7102, 55, F7, 2, 81) (dual of [(55, 2), 8, 82]-NRT-code) [i]
7Linear OOA(7101, 54, F7, 2, 80) (dual of [(54, 2), 7, 81]-NRT-code) [i]
8Linear OOA(7100, 54, F7, 2, 79) (dual of [(54, 2), 8, 80]-NRT-code) [i]
9Linear OOA(798, 53, F7, 2, 77) (dual of [(53, 2), 8, 78]-NRT-code) [i]
10Linear OOA(796, 52, F7, 2, 75) (dual of [(52, 2), 8, 76]-NRT-code) [i]
11Linear OOA(794, 51, F7, 2, 73) (dual of [(51, 2), 8, 74]-NRT-code) [i]
12Linear OOA(792, 50, F7, 2, 71) (dual of [(50, 2), 8, 72]-NRT-code) [i]
13Linear OOA(790, 49, F7, 2, 69) (dual of [(49, 2), 8, 70]-NRT-code) [i]