Information on Result #906504

Linear OOA(780, 56, F7, 2, 47) (dual of [(56, 2), 32, 48]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(76, 8, F7, 2, 6) (dual of [(8, 2), 10, 7]-NRT-code), using
  2. linear OOA(77, 8, F7, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
  3. linear OOA(79, 8, F7, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
  4. linear OOA(711, 8, F7, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
  5. linear OOA(715, 8, F7, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
  6. linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
  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(780, 56, F7, 2, 46) (dual of [(56, 2), 32, 47]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(780, 56, F7, 2, 45) (dual of [(56, 2), 32, 46]-NRT-code) [i]
3Linear OOA(782, 57, F7, 2, 47) (dual of [(57, 2), 32, 48]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(784, 58, F7, 2, 47) (dual of [(58, 2), 32, 48]-NRT-code) [i]
5Linear OOA(781, 56, F7, 2, 47) (dual of [(56, 2), 31, 48]-NRT-code) [i]OOA Duplication
6Linear OOA(779, 55, F7, 2, 46) (dual of [(55, 2), 31, 47]-NRT-code) [i]Truncation for OOAs
7Linear OOA(778, 55, F7, 2, 45) (dual of [(55, 2), 32, 46]-NRT-code) [i]
8Linear OOA(777, 54, F7, 2, 44) (dual of [(54, 2), 31, 45]-NRT-code) [i]
9Linear OOA(776, 54, F7, 2, 43) (dual of [(54, 2), 32, 44]-NRT-code) [i]
10Linear OOA(775, 53, F7, 2, 42) (dual of [(53, 2), 31, 43]-NRT-code) [i]