Information on Result #548422
There is no linear OA(2239, 250, F2, 120) (dual of [250, 11, 121]-code), because residual code would yield linear OA(2119, 129, F2, 60) (dual of [129, 10, 61]-code), but
- residual code [i] would yield linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), but
- adding a parity check bit [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-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(2240, 251, F2, 121) (dual of [251, 11, 122]-code) | [i] | Truncation | |
| 2 | No linear OOA(2240, 250, F2, 2, 121) (dual of [(250, 2), 260, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2241, 250, F2, 2, 122) (dual of [(250, 2), 259, 123]-NRT-code) | [i] | ||
| 4 | No linear OOA(2242, 250, F2, 2, 123) (dual of [(250, 2), 258, 124]-NRT-code) | [i] | ||
| 5 | No linear OOA(2243, 250, F2, 2, 124) (dual of [(250, 2), 257, 125]-NRT-code) | [i] | ||
| 6 | No linear OOA(2244, 250, F2, 2, 125) (dual of [(250, 2), 256, 126]-NRT-code) | [i] | ||
| 7 | No linear OOA(2245, 250, F2, 2, 126) (dual of [(250, 2), 255, 127]-NRT-code) | [i] | ||
| 8 | No linear OOA(2246, 250, F2, 2, 127) (dual of [(250, 2), 254, 128]-NRT-code) | [i] | ||
| 9 | No linear OOA(2247, 250, F2, 2, 128) (dual of [(250, 2), 253, 129]-NRT-code) | [i] | ||
| 10 | No linear OOA(2248, 250, F2, 2, 129) (dual of [(250, 2), 252, 130]-NRT-code) | [i] | ||
| 11 | No linear OOA(2249, 250, F2, 2, 130) (dual of [(250, 2), 251, 131]-NRT-code) | [i] | ||
| 12 | No linear OOA(2250, 250, F2, 2, 131) (dual of [(250, 2), 250, 132]-NRT-code) | [i] | ||
| 13 | No linear OOA(2251, 250, F2, 2, 132) (dual of [(250, 2), 249, 133]-NRT-code) | [i] | ||
| 14 | No linear OOA(2252, 250, F2, 2, 133) (dual of [(250, 2), 248, 134]-NRT-code) | [i] | ||
| 15 | No linear OOA(2253, 250, F2, 2, 134) (dual of [(250, 2), 247, 135]-NRT-code) | [i] | ||
| 16 | No linear OOA(2254, 250, F2, 2, 135) (dual of [(250, 2), 246, 136]-NRT-code) | [i] | ||
| 17 | No linear OOA(2255, 250, F2, 2, 136) (dual of [(250, 2), 245, 137]-NRT-code) | [i] | ||
| 18 | No linear OOA(2256, 250, F2, 2, 137) (dual of [(250, 2), 244, 138]-NRT-code) | [i] | ||
| 19 | No linear OOA(2257, 250, F2, 2, 138) (dual of [(250, 2), 243, 139]-NRT-code) | [i] | ||
| 20 | No linear OOA(2258, 250, F2, 2, 139) (dual of [(250, 2), 242, 140]-NRT-code) | [i] | ||
| 21 | No linear OOA(2259, 250, F2, 2, 140) (dual of [(250, 2), 241, 141]-NRT-code) | [i] | ||
| 22 | No linear OOA(2260, 250, F2, 2, 141) (dual of [(250, 2), 240, 142]-NRT-code) | [i] | ||
| 23 | No linear OOA(2239, 250, F2, 2, 120) (dual of [(250, 2), 261, 121]-NRT-code) | [i] | Depth Reduction | |
| 24 | No linear OOA(2239, 250, F2, 3, 120) (dual of [(250, 3), 511, 121]-NRT-code) | [i] | ||
| 25 | No linear OOA(2239, 250, F2, 4, 120) (dual of [(250, 4), 761, 121]-NRT-code) | [i] | ||
| 26 | No linear OOA(2239, 250, F2, 5, 120) (dual of [(250, 5), 1011, 121]-NRT-code) | [i] | ||
| 27 | No linear OOA(2239, 250, F2, 6, 120) (dual of [(250, 6), 1261, 121]-NRT-code) | [i] | ||
| 28 | No linear OOA(2239, 250, F2, 7, 120) (dual of [(250, 7), 1511, 121]-NRT-code) | [i] | ||
| 29 | No linear OOA(2239, 250, F2, 8, 120) (dual of [(250, 8), 1761, 121]-NRT-code) | [i] | ||
| 30 | No digital (119, 239, 250)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |