Information on Result #548345
There is no linear OA(2158, 166, F2, 80) (dual of [166, 8, 81]-code), because residual code would yield linear OA(278, 85, F2, 40) (dual of [85, 7, 41]-code), but
- “Hel†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 OA(2159, 167, F2, 81) (dual of [167, 8, 82]-code) | [i] | Truncation | |
| 2 | No linear OOA(2159, 166, F2, 2, 81) (dual of [(166, 2), 173, 82]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2160, 166, F2, 2, 82) (dual of [(166, 2), 172, 83]-NRT-code) | [i] | ||
| 4 | No linear OOA(2161, 166, F2, 2, 83) (dual of [(166, 2), 171, 84]-NRT-code) | [i] | ||
| 5 | No linear OOA(2162, 166, F2, 2, 84) (dual of [(166, 2), 170, 85]-NRT-code) | [i] | ||
| 6 | No linear OOA(2163, 166, F2, 2, 85) (dual of [(166, 2), 169, 86]-NRT-code) | [i] | ||
| 7 | No linear OOA(2164, 166, F2, 2, 86) (dual of [(166, 2), 168, 87]-NRT-code) | [i] | ||
| 8 | No linear OOA(2165, 166, F2, 2, 87) (dual of [(166, 2), 167, 88]-NRT-code) | [i] | ||
| 9 | No linear OOA(2166, 166, F2, 2, 88) (dual of [(166, 2), 166, 89]-NRT-code) | [i] | ||
| 10 | No linear OOA(2167, 166, F2, 2, 89) (dual of [(166, 2), 165, 90]-NRT-code) | [i] | ||
| 11 | No linear OOA(2168, 166, F2, 2, 90) (dual of [(166, 2), 164, 91]-NRT-code) | [i] | ||
| 12 | No linear OOA(2169, 166, F2, 2, 91) (dual of [(166, 2), 163, 92]-NRT-code) | [i] | ||
| 13 | No linear OOA(2170, 166, F2, 2, 92) (dual of [(166, 2), 162, 93]-NRT-code) | [i] | ||
| 14 | No linear OOA(2171, 166, F2, 2, 93) (dual of [(166, 2), 161, 94]-NRT-code) | [i] | ||
| 15 | No linear OOA(2172, 166, F2, 2, 94) (dual of [(166, 2), 160, 95]-NRT-code) | [i] | ||
| 16 | No linear OOA(2173, 166, F2, 2, 95) (dual of [(166, 2), 159, 96]-NRT-code) | [i] | ||
| 17 | No linear OOA(2174, 166, F2, 2, 96) (dual of [(166, 2), 158, 97]-NRT-code) | [i] | ||
| 18 | No linear OOA(2175, 166, F2, 2, 97) (dual of [(166, 2), 157, 98]-NRT-code) | [i] | ||
| 19 | No linear OOA(2176, 166, F2, 2, 98) (dual of [(166, 2), 156, 99]-NRT-code) | [i] | ||
| 20 | No linear OOA(2177, 166, F2, 2, 99) (dual of [(166, 2), 155, 100]-NRT-code) | [i] | ||
| 21 | No linear OOA(2178, 166, F2, 2, 100) (dual of [(166, 2), 154, 101]-NRT-code) | [i] | ||
| 22 | No linear OOA(2179, 166, F2, 2, 101) (dual of [(166, 2), 153, 102]-NRT-code) | [i] | ||
| 23 | No linear OOA(2180, 166, F2, 2, 102) (dual of [(166, 2), 152, 103]-NRT-code) | [i] | ||
| 24 | No linear OOA(2181, 166, F2, 2, 103) (dual of [(166, 2), 151, 104]-NRT-code) | [i] | ||
| 25 | No linear OOA(2182, 166, F2, 2, 104) (dual of [(166, 2), 150, 105]-NRT-code) | [i] | ||
| 26 | No linear OOA(2183, 166, F2, 2, 105) (dual of [(166, 2), 149, 106]-NRT-code) | [i] | ||
| 27 | No linear OOA(2184, 166, F2, 2, 106) (dual of [(166, 2), 148, 107]-NRT-code) | [i] | ||
| 28 | No linear OOA(2185, 166, F2, 2, 107) (dual of [(166, 2), 147, 108]-NRT-code) | [i] | ||
| 29 | No linear OOA(2186, 166, F2, 2, 108) (dual of [(166, 2), 146, 109]-NRT-code) | [i] | ||
| 30 | No linear OOA(2187, 166, F2, 2, 109) (dual of [(166, 2), 145, 110]-NRT-code) | [i] | ||
| 31 | No linear OOA(2188, 166, F2, 2, 110) (dual of [(166, 2), 144, 111]-NRT-code) | [i] | ||
| 32 | No linear OOA(2189, 166, F2, 2, 111) (dual of [(166, 2), 143, 112]-NRT-code) | [i] | ||
| 33 | No linear OOA(2190, 166, F2, 2, 112) (dual of [(166, 2), 142, 113]-NRT-code) | [i] | ||
| 34 | No linear OOA(2191, 166, F2, 2, 113) (dual of [(166, 2), 141, 114]-NRT-code) | [i] | ||
| 35 | No linear OOA(2192, 166, F2, 2, 114) (dual of [(166, 2), 140, 115]-NRT-code) | [i] | ||
| 36 | No linear OOA(2193, 166, F2, 2, 115) (dual of [(166, 2), 139, 116]-NRT-code) | [i] | ||
| 37 | No linear OOA(2194, 166, F2, 2, 116) (dual of [(166, 2), 138, 117]-NRT-code) | [i] | ||
| 38 | No linear OOA(2195, 166, F2, 2, 117) (dual of [(166, 2), 137, 118]-NRT-code) | [i] | ||
| 39 | No linear OOA(2196, 166, F2, 2, 118) (dual of [(166, 2), 136, 119]-NRT-code) | [i] | ||
| 40 | No linear OOA(2197, 166, F2, 2, 119) (dual of [(166, 2), 135, 120]-NRT-code) | [i] | ||
| 41 | No linear OOA(2198, 166, F2, 2, 120) (dual of [(166, 2), 134, 121]-NRT-code) | [i] | ||
| 42 | No linear OOA(2199, 166, F2, 2, 121) (dual of [(166, 2), 133, 122]-NRT-code) | [i] | ||
| 43 | No linear OOA(2200, 166, F2, 2, 122) (dual of [(166, 2), 132, 123]-NRT-code) | [i] | ||
| 44 | No linear OOA(2201, 166, F2, 2, 123) (dual of [(166, 2), 131, 124]-NRT-code) | [i] | ||
| 45 | No linear OOA(2202, 166, F2, 2, 124) (dual of [(166, 2), 130, 125]-NRT-code) | [i] | ||
| 46 | No linear OOA(2203, 166, F2, 2, 125) (dual of [(166, 2), 129, 126]-NRT-code) | [i] | ||
| 47 | No linear OOA(2204, 166, F2, 2, 126) (dual of [(166, 2), 128, 127]-NRT-code) | [i] | ||
| 48 | No linear OOA(2205, 166, F2, 2, 127) (dual of [(166, 2), 127, 128]-NRT-code) | [i] | ||
| 49 | No linear OOA(2206, 166, F2, 2, 128) (dual of [(166, 2), 126, 129]-NRT-code) | [i] | ||
| 50 | No linear OOA(2207, 166, F2, 2, 129) (dual of [(166, 2), 125, 130]-NRT-code) | [i] | ||
| 51 | No linear OOA(2208, 166, F2, 2, 130) (dual of [(166, 2), 124, 131]-NRT-code) | [i] | ||
| 52 | No linear OOA(2209, 166, F2, 2, 131) (dual of [(166, 2), 123, 132]-NRT-code) | [i] | ||
| 53 | No linear OOA(2210, 166, F2, 2, 132) (dual of [(166, 2), 122, 133]-NRT-code) | [i] | ||
| 54 | No linear OOA(2211, 166, F2, 2, 133) (dual of [(166, 2), 121, 134]-NRT-code) | [i] | ||
| 55 | No linear OOA(2212, 166, F2, 2, 134) (dual of [(166, 2), 120, 135]-NRT-code) | [i] | ||
| 56 | No linear OOA(2213, 166, F2, 2, 135) (dual of [(166, 2), 119, 136]-NRT-code) | [i] | ||
| 57 | No linear OOA(2214, 166, F2, 2, 136) (dual of [(166, 2), 118, 137]-NRT-code) | [i] | ||
| 58 | No linear OOA(2215, 166, F2, 2, 137) (dual of [(166, 2), 117, 138]-NRT-code) | [i] | ||
| 59 | No linear OOA(2216, 166, F2, 2, 138) (dual of [(166, 2), 116, 139]-NRT-code) | [i] | ||
| 60 | No linear OOA(2217, 166, F2, 2, 139) (dual of [(166, 2), 115, 140]-NRT-code) | [i] | ||
| 61 | No linear OOA(2218, 166, F2, 2, 140) (dual of [(166, 2), 114, 141]-NRT-code) | [i] | ||
| 62 | No linear OOA(2219, 166, F2, 2, 141) (dual of [(166, 2), 113, 142]-NRT-code) | [i] | ||
| 63 | No linear OOA(2220, 166, F2, 2, 142) (dual of [(166, 2), 112, 143]-NRT-code) | [i] | ||
| 64 | No linear OOA(2158, 166, F2, 2, 80) (dual of [(166, 2), 174, 81]-NRT-code) | [i] | Depth Reduction | |
| 65 | No linear OOA(2158, 166, F2, 3, 80) (dual of [(166, 3), 340, 81]-NRT-code) | [i] | ||
| 66 | No linear OOA(2158, 166, F2, 4, 80) (dual of [(166, 4), 506, 81]-NRT-code) | [i] | ||
| 67 | No linear OOA(2158, 166, F2, 5, 80) (dual of [(166, 5), 672, 81]-NRT-code) | [i] | ||
| 68 | No linear OOA(2158, 166, F2, 6, 80) (dual of [(166, 6), 838, 81]-NRT-code) | [i] | ||
| 69 | No linear OOA(2158, 166, F2, 7, 80) (dual of [(166, 7), 1004, 81]-NRT-code) | [i] | ||
| 70 | No linear OOA(2158, 166, F2, 8, 80) (dual of [(166, 8), 1170, 81]-NRT-code) | [i] | ||
| 71 | No digital (78, 158, 166)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |