Information on Result #906449

Linear OOA(7103, 56, F7, 2, 79) (dual of [(56, 2), 9, 80]-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(715, 8, F7, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
  4. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  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(7103, 56, F7, 2, 78) (dual of [(56, 2), 9, 79]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(7103, 56, F7, 2, 77) (dual of [(56, 2), 9, 78]-NRT-code) [i]
3Linear OOA(7105, 57, F7, 2, 79) (dual of [(57, 2), 9, 80]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(7107, 58, F7, 2, 79) (dual of [(58, 2), 9, 80]-NRT-code) [i]
5Linear OOA(7101, 55, F7, 2, 77) (dual of [(55, 2), 9, 78]-NRT-code) [i]Truncation for OOAs
6Linear OOA(799, 54, F7, 2, 75) (dual of [(54, 2), 9, 76]-NRT-code) [i]
7Linear OOA(797, 53, F7, 2, 73) (dual of [(53, 2), 9, 74]-NRT-code) [i]
8Linear OOA(795, 52, F7, 2, 71) (dual of [(52, 2), 9, 72]-NRT-code) [i]
9Linear OOA(793, 51, F7, 2, 69) (dual of [(51, 2), 9, 70]-NRT-code) [i]
10Linear OOA(790, 49, F7, 2, 66) (dual of [(49, 2), 8, 67]-NRT-code) [i]