Information on Result #2026530
There is no OA(2198, 205, S2, 102), because adding a parity check bit would yield OA(2199, 206, S2, 103), but
- the (dual) Plotkin bound shows that M ≥ 12 855504 354071 922204 335696 738729 300820 177623 950262 342682 411008 / 13 > 2199 [i]
Mode: Bound.
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 OOA(2199, 205, S2, 2, 103) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2200, 205, S2, 2, 104) | [i] | ||
| 3 | No OOA(2201, 205, S2, 2, 105) | [i] | ||
| 4 | No OOA(2202, 205, S2, 2, 106) | [i] | ||
| 5 | No OOA(2203, 205, S2, 2, 107) | [i] | ||
| 6 | No OOA(2204, 205, S2, 2, 108) | [i] | ||
| 7 | No OOA(2205, 205, S2, 2, 109) | [i] | ||
| 8 | No OOA(2206, 205, S2, 2, 110) | [i] | ||
| 9 | No OOA(2207, 205, S2, 2, 111) | [i] | ||
| 10 | No OOA(2208, 205, S2, 2, 112) | [i] | ||
| 11 | No OOA(2209, 205, S2, 2, 113) | [i] | ||
| 12 | No OOA(2210, 205, S2, 2, 114) | [i] | ||
| 13 | No OOA(2211, 205, S2, 2, 115) | [i] | ||
| 14 | No OOA(2212, 205, S2, 2, 116) | [i] | ||
| 15 | No OOA(2213, 205, S2, 2, 117) | [i] | ||
| 16 | No OOA(2214, 205, S2, 2, 118) | [i] | ||
| 17 | No OOA(2215, 205, S2, 2, 119) | [i] | ||
| 18 | No OOA(2216, 205, S2, 2, 120) | [i] | ||
| 19 | No OOA(2217, 205, S2, 2, 121) | [i] | ||
| 20 | No OOA(2218, 205, S2, 2, 122) | [i] | ||
| 21 | No OOA(2219, 205, S2, 2, 123) | [i] | ||
| 22 | No OOA(2220, 205, S2, 2, 124) | [i] | ||
| 23 | No OOA(2221, 205, S2, 2, 125) | [i] | ||
| 24 | No OOA(2222, 205, S2, 2, 126) | [i] | ||
| 25 | No OOA(2223, 205, S2, 2, 127) | [i] | ||
| 26 | No OOA(2224, 205, S2, 2, 128) | [i] | ||
| 27 | No OOA(2225, 205, S2, 2, 129) | [i] | ||
| 28 | No OOA(2226, 205, S2, 2, 130) | [i] | ||
| 29 | No OOA(2227, 205, S2, 2, 131) | [i] | ||
| 30 | No OOA(2228, 205, S2, 2, 132) | [i] | ||
| 31 | No OOA(2229, 205, S2, 2, 133) | [i] | ||
| 32 | No OOA(2230, 205, S2, 2, 134) | [i] | ||
| 33 | No OOA(2231, 205, S2, 2, 135) | [i] | ||
| 34 | No OOA(2232, 205, S2, 2, 136) | [i] | ||
| 35 | No OOA(2233, 205, S2, 2, 137) | [i] | ||
| 36 | No OOA(2234, 205, S2, 2, 138) | [i] | ||
| 37 | No OOA(2235, 205, S2, 2, 139) | [i] | ||
| 38 | No OOA(2236, 205, S2, 2, 140) | [i] | ||
| 39 | No OOA(2237, 205, S2, 2, 141) | [i] | ||
| 40 | No OOA(2238, 205, S2, 2, 142) | [i] | ||
| 41 | No OOA(2239, 205, S2, 2, 143) | [i] | ||
| 42 | No OOA(2240, 205, S2, 2, 144) | [i] | ||
| 43 | No OOA(2241, 205, S2, 2, 145) | [i] | ||
| 44 | No OOA(2242, 205, S2, 2, 146) | [i] | ||
| 45 | No OOA(2243, 205, S2, 2, 147) | [i] | ||
| 46 | No OOA(2244, 205, S2, 2, 148) | [i] | ||
| 47 | No OOA(2245, 205, S2, 2, 149) | [i] | ||
| 48 | No OOA(2246, 205, S2, 2, 150) | [i] | ||
| 49 | No OOA(2247, 205, S2, 2, 151) | [i] | ||
| 50 | No OOA(2248, 205, S2, 2, 152) | [i] | ||
| 51 | No OOA(2249, 205, S2, 2, 153) | [i] | ||
| 52 | No OOA(2250, 205, S2, 2, 154) | [i] | ||
| 53 | No OOA(2251, 205, S2, 2, 155) | [i] | ||
| 54 | No OOA(2252, 205, S2, 2, 156) | [i] | ||
| 55 | No OOA(2253, 205, S2, 2, 157) | [i] | ||
| 56 | No OOA(2254, 205, S2, 2, 158) | [i] | ||
| 57 | No OOA(2255, 205, S2, 2, 159) | [i] | ||
| 58 | No OOA(2256, 205, S2, 2, 160) | [i] | ||
| 59 | No OOA(2257, 205, S2, 2, 161) | [i] | ||
| 60 | No OOA(2258, 205, S2, 2, 162) | [i] | ||
| 61 | No OOA(2259, 205, S2, 2, 163) | [i] | ||
| 62 | No OOA(2260, 205, S2, 2, 164) | [i] | ||
| 63 | No OOA(2198, 205, S2, 2, 102) | [i] | Depth Reduction | |
| 64 | No OOA(2198, 205, S2, 3, 102) | [i] | ||
| 65 | No OOA(2198, 205, S2, 4, 102) | [i] | ||
| 66 | No OOA(2198, 205, S2, 5, 102) | [i] | ||
| 67 | No OOA(2198, 205, S2, 6, 102) | [i] | ||
| 68 | No OOA(2198, 205, S2, 7, 102) | [i] | ||
| 69 | No OOA(2198, 205, S2, 8, 102) | [i] | ||
| 70 | No (96, 198, 205)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |