Information on Result #548368
There is no linear OA(2176, 187, F2, 88) (dual of [187, 11, 89]-code), because residual code would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-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(2177, 188, F2, 89) (dual of [188, 11, 90]-code) | [i] | Truncation | |
| 2 | No linear OOA(2177, 187, F2, 2, 89) (dual of [(187, 2), 197, 90]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2178, 187, F2, 2, 90) (dual of [(187, 2), 196, 91]-NRT-code) | [i] | ||
| 4 | No linear OOA(2179, 187, F2, 2, 91) (dual of [(187, 2), 195, 92]-NRT-code) | [i] | ||
| 5 | No linear OOA(2180, 187, F2, 2, 92) (dual of [(187, 2), 194, 93]-NRT-code) | [i] | ||
| 6 | No linear OOA(2181, 187, F2, 2, 93) (dual of [(187, 2), 193, 94]-NRT-code) | [i] | ||
| 7 | No linear OOA(2182, 187, F2, 2, 94) (dual of [(187, 2), 192, 95]-NRT-code) | [i] | ||
| 8 | No linear OOA(2183, 187, F2, 2, 95) (dual of [(187, 2), 191, 96]-NRT-code) | [i] | ||
| 9 | No linear OOA(2184, 187, F2, 2, 96) (dual of [(187, 2), 190, 97]-NRT-code) | [i] | ||
| 10 | No linear OOA(2185, 187, F2, 2, 97) (dual of [(187, 2), 189, 98]-NRT-code) | [i] | ||
| 11 | No linear OOA(2186, 187, F2, 2, 98) (dual of [(187, 2), 188, 99]-NRT-code) | [i] | ||
| 12 | No linear OOA(2187, 187, F2, 2, 99) (dual of [(187, 2), 187, 100]-NRT-code) | [i] | ||
| 13 | No linear OOA(2188, 187, F2, 2, 100) (dual of [(187, 2), 186, 101]-NRT-code) | [i] | ||
| 14 | No linear OOA(2189, 187, F2, 2, 101) (dual of [(187, 2), 185, 102]-NRT-code) | [i] | ||
| 15 | No linear OOA(2190, 187, F2, 2, 102) (dual of [(187, 2), 184, 103]-NRT-code) | [i] | ||
| 16 | No linear OOA(2191, 187, F2, 2, 103) (dual of [(187, 2), 183, 104]-NRT-code) | [i] | ||
| 17 | No linear OOA(2192, 187, F2, 2, 104) (dual of [(187, 2), 182, 105]-NRT-code) | [i] | ||
| 18 | No linear OOA(2193, 187, F2, 2, 105) (dual of [(187, 2), 181, 106]-NRT-code) | [i] | ||
| 19 | No linear OOA(2194, 187, F2, 2, 106) (dual of [(187, 2), 180, 107]-NRT-code) | [i] | ||
| 20 | No linear OOA(2195, 187, F2, 2, 107) (dual of [(187, 2), 179, 108]-NRT-code) | [i] | ||
| 21 | No linear OOA(2196, 187, F2, 2, 108) (dual of [(187, 2), 178, 109]-NRT-code) | [i] | ||
| 22 | No linear OOA(2197, 187, F2, 2, 109) (dual of [(187, 2), 177, 110]-NRT-code) | [i] | ||
| 23 | No linear OOA(2198, 187, F2, 2, 110) (dual of [(187, 2), 176, 111]-NRT-code) | [i] | ||
| 24 | No linear OOA(2199, 187, F2, 2, 111) (dual of [(187, 2), 175, 112]-NRT-code) | [i] | ||
| 25 | No linear OOA(2200, 187, F2, 2, 112) (dual of [(187, 2), 174, 113]-NRT-code) | [i] | ||
| 26 | No linear OOA(2201, 187, F2, 2, 113) (dual of [(187, 2), 173, 114]-NRT-code) | [i] | ||
| 27 | No linear OOA(2202, 187, F2, 2, 114) (dual of [(187, 2), 172, 115]-NRT-code) | [i] | ||
| 28 | No linear OOA(2203, 187, F2, 2, 115) (dual of [(187, 2), 171, 116]-NRT-code) | [i] | ||
| 29 | No linear OOA(2204, 187, F2, 2, 116) (dual of [(187, 2), 170, 117]-NRT-code) | [i] | ||
| 30 | No linear OOA(2205, 187, F2, 2, 117) (dual of [(187, 2), 169, 118]-NRT-code) | [i] | ||
| 31 | No linear OOA(2206, 187, F2, 2, 118) (dual of [(187, 2), 168, 119]-NRT-code) | [i] | ||
| 32 | No linear OOA(2207, 187, F2, 2, 119) (dual of [(187, 2), 167, 120]-NRT-code) | [i] | ||
| 33 | No linear OOA(2208, 187, F2, 2, 120) (dual of [(187, 2), 166, 121]-NRT-code) | [i] | ||
| 34 | No linear OOA(2209, 187, F2, 2, 121) (dual of [(187, 2), 165, 122]-NRT-code) | [i] | ||
| 35 | No linear OOA(2210, 187, F2, 2, 122) (dual of [(187, 2), 164, 123]-NRT-code) | [i] | ||
| 36 | No linear OOA(2211, 187, F2, 2, 123) (dual of [(187, 2), 163, 124]-NRT-code) | [i] | ||
| 37 | No linear OOA(2212, 187, F2, 2, 124) (dual of [(187, 2), 162, 125]-NRT-code) | [i] | ||
| 38 | No linear OOA(2213, 187, F2, 2, 125) (dual of [(187, 2), 161, 126]-NRT-code) | [i] | ||
| 39 | No linear OOA(2214, 187, F2, 2, 126) (dual of [(187, 2), 160, 127]-NRT-code) | [i] | ||
| 40 | No linear OOA(2215, 187, F2, 2, 127) (dual of [(187, 2), 159, 128]-NRT-code) | [i] | ||
| 41 | No linear OOA(2216, 187, F2, 2, 128) (dual of [(187, 2), 158, 129]-NRT-code) | [i] | ||
| 42 | No linear OOA(2217, 187, F2, 2, 129) (dual of [(187, 2), 157, 130]-NRT-code) | [i] | ||
| 43 | No linear OOA(2218, 187, F2, 2, 130) (dual of [(187, 2), 156, 131]-NRT-code) | [i] | ||
| 44 | No linear OOA(2219, 187, F2, 2, 131) (dual of [(187, 2), 155, 132]-NRT-code) | [i] | ||
| 45 | No linear OOA(2220, 187, F2, 2, 132) (dual of [(187, 2), 154, 133]-NRT-code) | [i] | ||
| 46 | No linear OOA(2221, 187, F2, 2, 133) (dual of [(187, 2), 153, 134]-NRT-code) | [i] | ||
| 47 | No linear OOA(2222, 187, F2, 2, 134) (dual of [(187, 2), 152, 135]-NRT-code) | [i] | ||
| 48 | No linear OOA(2223, 187, F2, 2, 135) (dual of [(187, 2), 151, 136]-NRT-code) | [i] | ||
| 49 | No linear OOA(2224, 187, F2, 2, 136) (dual of [(187, 2), 150, 137]-NRT-code) | [i] | ||
| 50 | No linear OOA(2225, 187, F2, 2, 137) (dual of [(187, 2), 149, 138]-NRT-code) | [i] | ||
| 51 | No linear OOA(2226, 187, F2, 2, 138) (dual of [(187, 2), 148, 139]-NRT-code) | [i] | ||
| 52 | No linear OOA(2227, 187, F2, 2, 139) (dual of [(187, 2), 147, 140]-NRT-code) | [i] | ||
| 53 | No linear OOA(2228, 187, F2, 2, 140) (dual of [(187, 2), 146, 141]-NRT-code) | [i] | ||
| 54 | No linear OOA(2229, 187, F2, 2, 141) (dual of [(187, 2), 145, 142]-NRT-code) | [i] | ||
| 55 | No linear OOA(2230, 187, F2, 2, 142) (dual of [(187, 2), 144, 143]-NRT-code) | [i] | ||
| 56 | No linear OOA(2231, 187, F2, 2, 143) (dual of [(187, 2), 143, 144]-NRT-code) | [i] | ||
| 57 | No linear OOA(2232, 187, F2, 2, 144) (dual of [(187, 2), 142, 145]-NRT-code) | [i] | ||
| 58 | No linear OOA(2233, 187, F2, 2, 145) (dual of [(187, 2), 141, 146]-NRT-code) | [i] | ||
| 59 | No linear OOA(2234, 187, F2, 2, 146) (dual of [(187, 2), 140, 147]-NRT-code) | [i] | ||
| 60 | No linear OOA(2235, 187, F2, 2, 147) (dual of [(187, 2), 139, 148]-NRT-code) | [i] | ||
| 61 | No linear OOA(2236, 187, F2, 2, 148) (dual of [(187, 2), 138, 149]-NRT-code) | [i] | ||
| 62 | No linear OOA(2237, 187, F2, 2, 149) (dual of [(187, 2), 137, 150]-NRT-code) | [i] | ||
| 63 | No linear OOA(2238, 187, F2, 2, 150) (dual of [(187, 2), 136, 151]-NRT-code) | [i] | ||
| 64 | No linear OOA(2239, 187, F2, 2, 151) (dual of [(187, 2), 135, 152]-NRT-code) | [i] | ||
| 65 | No linear OOA(2240, 187, F2, 2, 152) (dual of [(187, 2), 134, 153]-NRT-code) | [i] | ||
| 66 | No linear OOA(2241, 187, F2, 2, 153) (dual of [(187, 2), 133, 154]-NRT-code) | [i] | ||
| 67 | No linear OOA(2242, 187, F2, 2, 154) (dual of [(187, 2), 132, 155]-NRT-code) | [i] | ||
| 68 | No linear OOA(2243, 187, F2, 2, 155) (dual of [(187, 2), 131, 156]-NRT-code) | [i] | ||
| 69 | No linear OOA(2244, 187, F2, 2, 156) (dual of [(187, 2), 130, 157]-NRT-code) | [i] | ||
| 70 | No linear OOA(2245, 187, F2, 2, 157) (dual of [(187, 2), 129, 158]-NRT-code) | [i] | ||
| 71 | No linear OOA(2246, 187, F2, 2, 158) (dual of [(187, 2), 128, 159]-NRT-code) | [i] | ||
| 72 | No linear OOA(2176, 187, F2, 2, 88) (dual of [(187, 2), 198, 89]-NRT-code) | [i] | Depth Reduction | |
| 73 | No linear OOA(2176, 187, F2, 3, 88) (dual of [(187, 3), 385, 89]-NRT-code) | [i] | ||
| 74 | No linear OOA(2176, 187, F2, 4, 88) (dual of [(187, 4), 572, 89]-NRT-code) | [i] | ||
| 75 | No linear OOA(2176, 187, F2, 5, 88) (dual of [(187, 5), 759, 89]-NRT-code) | [i] | ||
| 76 | No linear OOA(2176, 187, F2, 6, 88) (dual of [(187, 6), 946, 89]-NRT-code) | [i] | ||
| 77 | No linear OOA(2176, 187, F2, 7, 88) (dual of [(187, 7), 1133, 89]-NRT-code) | [i] | ||
| 78 | No linear OOA(2176, 187, F2, 8, 88) (dual of [(187, 8), 1320, 89]-NRT-code) | [i] | ||
| 79 | No digital (88, 176, 187)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |