Information on Result #2156207
There is no linear OA(232, 40, F2, 16) (dual of [40, 8, 17]-code), because adding a parity check bit would yield linear OA(233, 41, F2, 17) (dual of [41, 8, 18]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
Mode: Bound (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OOA(233, 40, F2, 2, 17) (dual of [(40, 2), 47, 18]-NRT-code) | [i] | m-Reduction for OOAs | |
2 | No linear OOA(235, 40, F2, 2, 19) (dual of [(40, 2), 45, 20]-NRT-code) | [i] | ||
3 | No linear OOA(232, 40, F2, 2, 16) (dual of [(40, 2), 48, 17]-NRT-code) | [i] | Depth Reduction | |
4 | No linear OOA(232, 40, F2, 3, 16) (dual of [(40, 3), 88, 17]-NRT-code) | [i] | ||
5 | No linear OOA(232, 40, F2, 4, 16) (dual of [(40, 4), 128, 17]-NRT-code) | [i] | ||
6 | No linear OOA(232, 40, F2, 5, 16) (dual of [(40, 5), 168, 17]-NRT-code) | [i] | ||
7 | No linear OOA(232, 40, F2, 6, 16) (dual of [(40, 6), 208, 17]-NRT-code) | [i] | ||
8 | No linear OOA(232, 40, F2, 7, 16) (dual of [(40, 7), 248, 17]-NRT-code) | [i] | ||
9 | No linear OOA(232, 40, F2, 8, 16) (dual of [(40, 8), 288, 17]-NRT-code) | [i] | ||
10 | No digital (16, 32, 40)-net over F2 | [i] | Extracting Embedded Orthogonal Array |