Information on Result #906556

Linear OOA(772, 42, F7, 2, 51) (dual of [(42, 2), 12, 52]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
  2. linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
  3. linear OOA(712, 7, F7, 2, 12) (dual of [(7, 2), 2, 13]-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)

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(772, 42, F7, 2, 50) (dual of [(42, 2), 12, 51]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(771, 41, F7, 2, 50) (dual of [(41, 2), 11, 51]-NRT-code) [i]Truncation for OOAs
3Linear OOA(770, 41, F7, 2, 49) (dual of [(41, 2), 12, 50]-NRT-code) [i]
4Linear OOA(769, 40, F7, 2, 48) (dual of [(40, 2), 11, 49]-NRT-code) [i]
5Linear OOA(768, 40, F7, 2, 47) (dual of [(40, 2), 12, 48]-NRT-code) [i]