Information on Result #546160
There is no linear OA(231, 38, F2, 16) (dual of [38, 7, 17]-code), because residual code would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
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 OA(232, 39, F2, 17) (dual of [39, 7, 18]-code) | [i] | Truncation | |
| 2 | No linear OOA(232, 38, F2, 2, 17) (dual of [(38, 2), 44, 18]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(234, 38, F2, 2, 19) (dual of [(38, 2), 42, 20]-NRT-code) | [i] | ||
| 4 | No linear OOA(235, 38, F2, 2, 20) (dual of [(38, 2), 41, 21]-NRT-code) | [i] | ||
| 5 | No linear OOA(236, 38, F2, 2, 21) (dual of [(38, 2), 40, 22]-NRT-code) | [i] | ||
| 6 | No linear OOA(237, 38, F2, 2, 22) (dual of [(38, 2), 39, 23]-NRT-code) | [i] | ||
| 7 | No linear OOA(238, 38, F2, 2, 23) (dual of [(38, 2), 38, 24]-NRT-code) | [i] | ||
| 8 | No linear OOA(239, 38, F2, 2, 24) (dual of [(38, 2), 37, 25]-NRT-code) | [i] | ||
| 9 | No linear OOA(240, 38, F2, 2, 25) (dual of [(38, 2), 36, 26]-NRT-code) | [i] | ||
| 10 | No linear OOA(241, 38, F2, 2, 26) (dual of [(38, 2), 35, 27]-NRT-code) | [i] | ||
| 11 | No linear OOA(242, 38, F2, 2, 27) (dual of [(38, 2), 34, 28]-NRT-code) | [i] | ||
| 12 | No linear OOA(243, 38, F2, 2, 28) (dual of [(38, 2), 33, 29]-NRT-code) | [i] | ||
| 13 | No linear OOA(244, 38, F2, 2, 29) (dual of [(38, 2), 32, 30]-NRT-code) | [i] | ||
| 14 | No linear OOA(245, 38, F2, 2, 30) (dual of [(38, 2), 31, 31]-NRT-code) | [i] | ||
| 15 | No linear OOA(246, 38, F2, 2, 31) (dual of [(38, 2), 30, 32]-NRT-code) | [i] | ||
| 16 | No linear OOA(247, 38, F2, 2, 32) (dual of [(38, 2), 29, 33]-NRT-code) | [i] | ||
| 17 | No linear OOA(248, 38, F2, 2, 33) (dual of [(38, 2), 28, 34]-NRT-code) | [i] | ||
| 18 | No linear OOA(231, 38, F2, 2, 16) (dual of [(38, 2), 45, 17]-NRT-code) | [i] | Depth Reduction | |
| 19 | No linear OOA(231, 38, F2, 3, 16) (dual of [(38, 3), 83, 17]-NRT-code) | [i] | ||
| 20 | No linear OOA(231, 38, F2, 4, 16) (dual of [(38, 4), 121, 17]-NRT-code) | [i] | ||
| 21 | No linear OOA(231, 38, F2, 5, 16) (dual of [(38, 5), 159, 17]-NRT-code) | [i] | ||
| 22 | No linear OOA(231, 38, F2, 6, 16) (dual of [(38, 6), 197, 17]-NRT-code) | [i] | ||
| 23 | No linear OOA(231, 38, F2, 7, 16) (dual of [(38, 7), 235, 17]-NRT-code) | [i] | ||
| 24 | No linear OOA(231, 38, F2, 8, 16) (dual of [(38, 8), 273, 17]-NRT-code) | [i] | ||
| 25 | No digital (15, 31, 38)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 26 | No linear OA(263, 71, F2, 32) (dual of [71, 8, 33]-code) | [i] | Residual Code | |
| 27 | No linear OA(232, 42, F2, 16) (dual of [42, 10, 17]-code) | [i] | Construction Y1 (Bound) | |