Information on Result #548392
There is no linear OA(2198, 207, F2, 100) (dual of [207, 9, 101]-code), because residual code would yield linear OA(298, 106, F2, 50) (dual of [106, 8, 51]-code), but
- residual code [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- “vT4†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(2199, 208, F2, 101) (dual of [208, 9, 102]-code) | [i] | Truncation | |
| 2 | No linear OA(2200, 209, F2, 102) (dual of [209, 9, 103]-code) | [i] | ||
| 3 | No linear OA(2201, 210, F2, 103) (dual of [210, 9, 104]-code) | [i] | ||
| 4 | No linear OOA(2199, 207, F2, 2, 101) (dual of [(207, 2), 215, 102]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(2200, 207, F2, 2, 102) (dual of [(207, 2), 214, 103]-NRT-code) | [i] | ||
| 6 | No linear OOA(2201, 207, F2, 2, 103) (dual of [(207, 2), 213, 104]-NRT-code) | [i] | ||
| 7 | No linear OOA(2202, 207, F2, 2, 104) (dual of [(207, 2), 212, 105]-NRT-code) | [i] | ||
| 8 | No linear OOA(2203, 207, F2, 2, 105) (dual of [(207, 2), 211, 106]-NRT-code) | [i] | ||
| 9 | No linear OOA(2204, 207, F2, 2, 106) (dual of [(207, 2), 210, 107]-NRT-code) | [i] | ||
| 10 | No linear OOA(2205, 207, F2, 2, 107) (dual of [(207, 2), 209, 108]-NRT-code) | [i] | ||
| 11 | No linear OOA(2206, 207, F2, 2, 108) (dual of [(207, 2), 208, 109]-NRT-code) | [i] | ||
| 12 | No linear OOA(2207, 207, F2, 2, 109) (dual of [(207, 2), 207, 110]-NRT-code) | [i] | ||
| 13 | No linear OOA(2208, 207, F2, 2, 110) (dual of [(207, 2), 206, 111]-NRT-code) | [i] | ||
| 14 | No linear OOA(2209, 207, F2, 2, 111) (dual of [(207, 2), 205, 112]-NRT-code) | [i] | ||
| 15 | No linear OOA(2210, 207, F2, 2, 112) (dual of [(207, 2), 204, 113]-NRT-code) | [i] | ||
| 16 | No linear OOA(2211, 207, F2, 2, 113) (dual of [(207, 2), 203, 114]-NRT-code) | [i] | ||
| 17 | No linear OOA(2212, 207, F2, 2, 114) (dual of [(207, 2), 202, 115]-NRT-code) | [i] | ||
| 18 | No linear OOA(2213, 207, F2, 2, 115) (dual of [(207, 2), 201, 116]-NRT-code) | [i] | ||
| 19 | No linear OOA(2214, 207, F2, 2, 116) (dual of [(207, 2), 200, 117]-NRT-code) | [i] | ||
| 20 | No linear OOA(2215, 207, F2, 2, 117) (dual of [(207, 2), 199, 118]-NRT-code) | [i] | ||
| 21 | No linear OOA(2216, 207, F2, 2, 118) (dual of [(207, 2), 198, 119]-NRT-code) | [i] | ||
| 22 | No linear OOA(2217, 207, F2, 2, 119) (dual of [(207, 2), 197, 120]-NRT-code) | [i] | ||
| 23 | No linear OOA(2218, 207, F2, 2, 120) (dual of [(207, 2), 196, 121]-NRT-code) | [i] | ||
| 24 | No linear OOA(2219, 207, F2, 2, 121) (dual of [(207, 2), 195, 122]-NRT-code) | [i] | ||
| 25 | No linear OOA(2220, 207, F2, 2, 122) (dual of [(207, 2), 194, 123]-NRT-code) | [i] | ||
| 26 | No linear OOA(2221, 207, F2, 2, 123) (dual of [(207, 2), 193, 124]-NRT-code) | [i] | ||
| 27 | No linear OOA(2222, 207, F2, 2, 124) (dual of [(207, 2), 192, 125]-NRT-code) | [i] | ||
| 28 | No linear OOA(2223, 207, F2, 2, 125) (dual of [(207, 2), 191, 126]-NRT-code) | [i] | ||
| 29 | No linear OOA(2224, 207, F2, 2, 126) (dual of [(207, 2), 190, 127]-NRT-code) | [i] | ||
| 30 | No linear OOA(2225, 207, F2, 2, 127) (dual of [(207, 2), 189, 128]-NRT-code) | [i] | ||
| 31 | No linear OOA(2226, 207, F2, 2, 128) (dual of [(207, 2), 188, 129]-NRT-code) | [i] | ||
| 32 | No linear OOA(2227, 207, F2, 2, 129) (dual of [(207, 2), 187, 130]-NRT-code) | [i] | ||
| 33 | No linear OOA(2228, 207, F2, 2, 130) (dual of [(207, 2), 186, 131]-NRT-code) | [i] | ||
| 34 | No linear OOA(2229, 207, F2, 2, 131) (dual of [(207, 2), 185, 132]-NRT-code) | [i] | ||
| 35 | No linear OOA(2230, 207, F2, 2, 132) (dual of [(207, 2), 184, 133]-NRT-code) | [i] | ||
| 36 | No linear OOA(2231, 207, F2, 2, 133) (dual of [(207, 2), 183, 134]-NRT-code) | [i] | ||
| 37 | No linear OOA(2232, 207, F2, 2, 134) (dual of [(207, 2), 182, 135]-NRT-code) | [i] | ||
| 38 | No linear OOA(2233, 207, F2, 2, 135) (dual of [(207, 2), 181, 136]-NRT-code) | [i] | ||
| 39 | No linear OOA(2234, 207, F2, 2, 136) (dual of [(207, 2), 180, 137]-NRT-code) | [i] | ||
| 40 | No linear OOA(2235, 207, F2, 2, 137) (dual of [(207, 2), 179, 138]-NRT-code) | [i] | ||
| 41 | No linear OOA(2236, 207, F2, 2, 138) (dual of [(207, 2), 178, 139]-NRT-code) | [i] | ||
| 42 | No linear OOA(2237, 207, F2, 2, 139) (dual of [(207, 2), 177, 140]-NRT-code) | [i] | ||
| 43 | No linear OOA(2238, 207, F2, 2, 140) (dual of [(207, 2), 176, 141]-NRT-code) | [i] | ||
| 44 | No linear OOA(2239, 207, F2, 2, 141) (dual of [(207, 2), 175, 142]-NRT-code) | [i] | ||
| 45 | No linear OOA(2240, 207, F2, 2, 142) (dual of [(207, 2), 174, 143]-NRT-code) | [i] | ||
| 46 | No linear OOA(2241, 207, F2, 2, 143) (dual of [(207, 2), 173, 144]-NRT-code) | [i] | ||
| 47 | No linear OOA(2242, 207, F2, 2, 144) (dual of [(207, 2), 172, 145]-NRT-code) | [i] | ||
| 48 | No linear OOA(2243, 207, F2, 2, 145) (dual of [(207, 2), 171, 146]-NRT-code) | [i] | ||
| 49 | No linear OOA(2244, 207, F2, 2, 146) (dual of [(207, 2), 170, 147]-NRT-code) | [i] | ||
| 50 | No linear OOA(2245, 207, F2, 2, 147) (dual of [(207, 2), 169, 148]-NRT-code) | [i] | ||
| 51 | No linear OOA(2246, 207, F2, 2, 148) (dual of [(207, 2), 168, 149]-NRT-code) | [i] | ||
| 52 | No linear OOA(2247, 207, F2, 2, 149) (dual of [(207, 2), 167, 150]-NRT-code) | [i] | ||
| 53 | No linear OOA(2248, 207, F2, 2, 150) (dual of [(207, 2), 166, 151]-NRT-code) | [i] | ||
| 54 | No linear OOA(2249, 207, F2, 2, 151) (dual of [(207, 2), 165, 152]-NRT-code) | [i] | ||
| 55 | No linear OOA(2250, 207, F2, 2, 152) (dual of [(207, 2), 164, 153]-NRT-code) | [i] | ||
| 56 | No linear OOA(2251, 207, F2, 2, 153) (dual of [(207, 2), 163, 154]-NRT-code) | [i] | ||
| 57 | No linear OOA(2252, 207, F2, 2, 154) (dual of [(207, 2), 162, 155]-NRT-code) | [i] | ||
| 58 | No linear OOA(2253, 207, F2, 2, 155) (dual of [(207, 2), 161, 156]-NRT-code) | [i] | ||
| 59 | No linear OOA(2254, 207, F2, 2, 156) (dual of [(207, 2), 160, 157]-NRT-code) | [i] | ||
| 60 | No linear OOA(2255, 207, F2, 2, 157) (dual of [(207, 2), 159, 158]-NRT-code) | [i] | ||
| 61 | No linear OOA(2256, 207, F2, 2, 158) (dual of [(207, 2), 158, 159]-NRT-code) | [i] | ||
| 62 | No linear OOA(2257, 207, F2, 2, 159) (dual of [(207, 2), 157, 160]-NRT-code) | [i] | ||
| 63 | No linear OOA(2258, 207, F2, 2, 160) (dual of [(207, 2), 156, 161]-NRT-code) | [i] | ||
| 64 | No linear OOA(2259, 207, F2, 2, 161) (dual of [(207, 2), 155, 162]-NRT-code) | [i] | ||
| 65 | No linear OOA(2260, 207, F2, 2, 162) (dual of [(207, 2), 154, 163]-NRT-code) | [i] | ||
| 66 | No linear OOA(2198, 207, F2, 2, 100) (dual of [(207, 2), 216, 101]-NRT-code) | [i] | Depth Reduction | |
| 67 | No linear OOA(2198, 207, F2, 3, 100) (dual of [(207, 3), 423, 101]-NRT-code) | [i] | ||
| 68 | No linear OOA(2198, 207, F2, 4, 100) (dual of [(207, 4), 630, 101]-NRT-code) | [i] | ||
| 69 | No linear OOA(2198, 207, F2, 5, 100) (dual of [(207, 5), 837, 101]-NRT-code) | [i] | ||
| 70 | No linear OOA(2198, 207, F2, 6, 100) (dual of [(207, 6), 1044, 101]-NRT-code) | [i] | ||
| 71 | No linear OOA(2198, 207, F2, 7, 100) (dual of [(207, 7), 1251, 101]-NRT-code) | [i] | ||
| 72 | No linear OOA(2198, 207, F2, 8, 100) (dual of [(207, 8), 1458, 101]-NRT-code) | [i] | ||
| 73 | No digital (98, 198, 207)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |