Information on Result #548375
There is no linear OA(2182, 192, F2, 92) (dual of [192, 10, 93]-code), because residual code would yield linear OA(290, 99, F2, 46) (dual of [99, 9, 47]-code), but
- adding a parity check bit [i] would yield linear OA(291, 100, F2, 47) (dual of [100, 9, 48]-code), but
- “Bro†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(2183, 193, F2, 93) (dual of [193, 10, 94]-code) | [i] | Truncation | |
| 2 | No linear OOA(2183, 192, F2, 2, 93) (dual of [(192, 2), 201, 94]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2184, 192, F2, 2, 94) (dual of [(192, 2), 200, 95]-NRT-code) | [i] | ||
| 4 | No linear OOA(2185, 192, F2, 2, 95) (dual of [(192, 2), 199, 96]-NRT-code) | [i] | ||
| 5 | No linear OOA(2187, 192, F2, 2, 97) (dual of [(192, 2), 197, 98]-NRT-code) | [i] | ||
| 6 | No linear OOA(2188, 192, F2, 2, 98) (dual of [(192, 2), 196, 99]-NRT-code) | [i] | ||
| 7 | No linear OOA(2189, 192, F2, 2, 99) (dual of [(192, 2), 195, 100]-NRT-code) | [i] | ||
| 8 | No linear OOA(2190, 192, F2, 2, 100) (dual of [(192, 2), 194, 101]-NRT-code) | [i] | ||
| 9 | No linear OOA(2191, 192, F2, 2, 101) (dual of [(192, 2), 193, 102]-NRT-code) | [i] | ||
| 10 | No linear OOA(2192, 192, F2, 2, 102) (dual of [(192, 2), 192, 103]-NRT-code) | [i] | ||
| 11 | No linear OOA(2193, 192, F2, 2, 103) (dual of [(192, 2), 191, 104]-NRT-code) | [i] | ||
| 12 | No linear OOA(2194, 192, F2, 2, 104) (dual of [(192, 2), 190, 105]-NRT-code) | [i] | ||
| 13 | No linear OOA(2195, 192, F2, 2, 105) (dual of [(192, 2), 189, 106]-NRT-code) | [i] | ||
| 14 | No linear OOA(2196, 192, F2, 2, 106) (dual of [(192, 2), 188, 107]-NRT-code) | [i] | ||
| 15 | No linear OOA(2197, 192, F2, 2, 107) (dual of [(192, 2), 187, 108]-NRT-code) | [i] | ||
| 16 | No linear OOA(2198, 192, F2, 2, 108) (dual of [(192, 2), 186, 109]-NRT-code) | [i] | ||
| 17 | No linear OOA(2199, 192, F2, 2, 109) (dual of [(192, 2), 185, 110]-NRT-code) | [i] | ||
| 18 | No linear OOA(2200, 192, F2, 2, 110) (dual of [(192, 2), 184, 111]-NRT-code) | [i] | ||
| 19 | No linear OOA(2201, 192, F2, 2, 111) (dual of [(192, 2), 183, 112]-NRT-code) | [i] | ||
| 20 | No linear OOA(2202, 192, F2, 2, 112) (dual of [(192, 2), 182, 113]-NRT-code) | [i] | ||
| 21 | No linear OOA(2203, 192, F2, 2, 113) (dual of [(192, 2), 181, 114]-NRT-code) | [i] | ||
| 22 | No linear OOA(2204, 192, F2, 2, 114) (dual of [(192, 2), 180, 115]-NRT-code) | [i] | ||
| 23 | No linear OOA(2205, 192, F2, 2, 115) (dual of [(192, 2), 179, 116]-NRT-code) | [i] | ||
| 24 | No linear OOA(2206, 192, F2, 2, 116) (dual of [(192, 2), 178, 117]-NRT-code) | [i] | ||
| 25 | No linear OOA(2207, 192, F2, 2, 117) (dual of [(192, 2), 177, 118]-NRT-code) | [i] | ||
| 26 | No linear OOA(2208, 192, F2, 2, 118) (dual of [(192, 2), 176, 119]-NRT-code) | [i] | ||
| 27 | No linear OOA(2209, 192, F2, 2, 119) (dual of [(192, 2), 175, 120]-NRT-code) | [i] | ||
| 28 | No linear OOA(2210, 192, F2, 2, 120) (dual of [(192, 2), 174, 121]-NRT-code) | [i] | ||
| 29 | No linear OOA(2211, 192, F2, 2, 121) (dual of [(192, 2), 173, 122]-NRT-code) | [i] | ||
| 30 | No linear OOA(2212, 192, F2, 2, 122) (dual of [(192, 2), 172, 123]-NRT-code) | [i] | ||
| 31 | No linear OOA(2213, 192, F2, 2, 123) (dual of [(192, 2), 171, 124]-NRT-code) | [i] | ||
| 32 | No linear OOA(2214, 192, F2, 2, 124) (dual of [(192, 2), 170, 125]-NRT-code) | [i] | ||
| 33 | No linear OOA(2215, 192, F2, 2, 125) (dual of [(192, 2), 169, 126]-NRT-code) | [i] | ||
| 34 | No linear OOA(2216, 192, F2, 2, 126) (dual of [(192, 2), 168, 127]-NRT-code) | [i] | ||
| 35 | No linear OOA(2217, 192, F2, 2, 127) (dual of [(192, 2), 167, 128]-NRT-code) | [i] | ||
| 36 | No linear OOA(2218, 192, F2, 2, 128) (dual of [(192, 2), 166, 129]-NRT-code) | [i] | ||
| 37 | No linear OOA(2219, 192, F2, 2, 129) (dual of [(192, 2), 165, 130]-NRT-code) | [i] | ||
| 38 | No linear OOA(2220, 192, F2, 2, 130) (dual of [(192, 2), 164, 131]-NRT-code) | [i] | ||
| 39 | No linear OOA(2221, 192, F2, 2, 131) (dual of [(192, 2), 163, 132]-NRT-code) | [i] | ||
| 40 | No linear OOA(2222, 192, F2, 2, 132) (dual of [(192, 2), 162, 133]-NRT-code) | [i] | ||
| 41 | No linear OOA(2223, 192, F2, 2, 133) (dual of [(192, 2), 161, 134]-NRT-code) | [i] | ||
| 42 | No linear OOA(2224, 192, F2, 2, 134) (dual of [(192, 2), 160, 135]-NRT-code) | [i] | ||
| 43 | No linear OOA(2225, 192, F2, 2, 135) (dual of [(192, 2), 159, 136]-NRT-code) | [i] | ||
| 44 | No linear OOA(2226, 192, F2, 2, 136) (dual of [(192, 2), 158, 137]-NRT-code) | [i] | ||
| 45 | No linear OOA(2227, 192, F2, 2, 137) (dual of [(192, 2), 157, 138]-NRT-code) | [i] | ||
| 46 | No linear OOA(2228, 192, F2, 2, 138) (dual of [(192, 2), 156, 139]-NRT-code) | [i] | ||
| 47 | No linear OOA(2229, 192, F2, 2, 139) (dual of [(192, 2), 155, 140]-NRT-code) | [i] | ||
| 48 | No linear OOA(2230, 192, F2, 2, 140) (dual of [(192, 2), 154, 141]-NRT-code) | [i] | ||
| 49 | No linear OOA(2231, 192, F2, 2, 141) (dual of [(192, 2), 153, 142]-NRT-code) | [i] | ||
| 50 | No linear OOA(2232, 192, F2, 2, 142) (dual of [(192, 2), 152, 143]-NRT-code) | [i] | ||
| 51 | No linear OOA(2233, 192, F2, 2, 143) (dual of [(192, 2), 151, 144]-NRT-code) | [i] | ||
| 52 | No linear OOA(2234, 192, F2, 2, 144) (dual of [(192, 2), 150, 145]-NRT-code) | [i] | ||
| 53 | No linear OOA(2235, 192, F2, 2, 145) (dual of [(192, 2), 149, 146]-NRT-code) | [i] | ||
| 54 | No linear OOA(2236, 192, F2, 2, 146) (dual of [(192, 2), 148, 147]-NRT-code) | [i] | ||
| 55 | No linear OOA(2237, 192, F2, 2, 147) (dual of [(192, 2), 147, 148]-NRT-code) | [i] | ||
| 56 | No linear OOA(2238, 192, F2, 2, 148) (dual of [(192, 2), 146, 149]-NRT-code) | [i] | ||
| 57 | No linear OOA(2239, 192, F2, 2, 149) (dual of [(192, 2), 145, 150]-NRT-code) | [i] | ||
| 58 | No linear OOA(2240, 192, F2, 2, 150) (dual of [(192, 2), 144, 151]-NRT-code) | [i] | ||
| 59 | No linear OOA(2241, 192, F2, 2, 151) (dual of [(192, 2), 143, 152]-NRT-code) | [i] | ||
| 60 | No linear OOA(2242, 192, F2, 2, 152) (dual of [(192, 2), 142, 153]-NRT-code) | [i] | ||
| 61 | No linear OOA(2243, 192, F2, 2, 153) (dual of [(192, 2), 141, 154]-NRT-code) | [i] | ||
| 62 | No linear OOA(2244, 192, F2, 2, 154) (dual of [(192, 2), 140, 155]-NRT-code) | [i] | ||
| 63 | No linear OOA(2245, 192, F2, 2, 155) (dual of [(192, 2), 139, 156]-NRT-code) | [i] | ||
| 64 | No linear OOA(2246, 192, F2, 2, 156) (dual of [(192, 2), 138, 157]-NRT-code) | [i] | ||
| 65 | No linear OOA(2247, 192, F2, 2, 157) (dual of [(192, 2), 137, 158]-NRT-code) | [i] | ||
| 66 | No linear OOA(2248, 192, F2, 2, 158) (dual of [(192, 2), 136, 159]-NRT-code) | [i] | ||
| 67 | No linear OOA(2249, 192, F2, 2, 159) (dual of [(192, 2), 135, 160]-NRT-code) | [i] | ||
| 68 | No linear OOA(2250, 192, F2, 2, 160) (dual of [(192, 2), 134, 161]-NRT-code) | [i] | ||
| 69 | No linear OOA(2251, 192, F2, 2, 161) (dual of [(192, 2), 133, 162]-NRT-code) | [i] | ||
| 70 | No linear OOA(2252, 192, F2, 2, 162) (dual of [(192, 2), 132, 163]-NRT-code) | [i] | ||
| 71 | No linear OOA(2182, 192, F2, 2, 92) (dual of [(192, 2), 202, 93]-NRT-code) | [i] | Depth Reduction | |
| 72 | No linear OOA(2182, 192, F2, 3, 92) (dual of [(192, 3), 394, 93]-NRT-code) | [i] | ||
| 73 | No linear OOA(2182, 192, F2, 4, 92) (dual of [(192, 4), 586, 93]-NRT-code) | [i] | ||
| 74 | No linear OOA(2182, 192, F2, 5, 92) (dual of [(192, 5), 778, 93]-NRT-code) | [i] | ||
| 75 | No linear OOA(2182, 192, F2, 6, 92) (dual of [(192, 6), 970, 93]-NRT-code) | [i] | ||
| 76 | No linear OOA(2182, 192, F2, 7, 92) (dual of [(192, 7), 1162, 93]-NRT-code) | [i] | ||
| 77 | No linear OOA(2182, 192, F2, 8, 92) (dual of [(192, 8), 1354, 93]-NRT-code) | [i] | ||
| 78 | No digital (90, 182, 192)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |