Information on Result #609943
Linear OA(2247, 249, F2, 165) (dual of [249, 2, 166]-code), using repeating each code word 83 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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 | Linear OA(2247, 249, F2, 164) (dual of [249, 2, 165]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2247, 249, F2, 163) (dual of [249, 2, 164]-code) | [i] | ||
| 3 | Linear OA(2247, 249, F2, 162) (dual of [249, 2, 163]-code) | [i] | ||
| 4 | Linear OA(2247, 249, F2, 161) (dual of [249, 2, 162]-code) | [i] | ||
| 5 | Linear OA(2247, 249, F2, 160) (dual of [249, 2, 161]-code) | [i] | ||
| 6 | Linear OA(2247, 249, F2, 159) (dual of [249, 2, 160]-code) | [i] | ||
| 7 | Linear OA(2247, 249, F2, 158) (dual of [249, 2, 159]-code) | [i] | ||
| 8 | Linear OA(2247, 249, F2, 157) (dual of [249, 2, 158]-code) | [i] | ||
| 9 | Linear OA(2247, 249, F2, 156) (dual of [249, 2, 157]-code) | [i] | ||
| 10 | Linear OA(2247, 249, F2, 155) (dual of [249, 2, 156]-code) | [i] | ||
| 11 | Linear OA(2247, 249, F2, 154) (dual of [249, 2, 155]-code) | [i] | ||
| 12 | Linear OA(2247, 249, F2, 153) (dual of [249, 2, 154]-code) | [i] | ||
| 13 | Linear OA(2247, 249, F2, 152) (dual of [249, 2, 153]-code) | [i] | ||
| 14 | Linear OA(2247, 249, F2, 151) (dual of [249, 2, 152]-code) | [i] | ||
| 15 | Linear OA(2247, 249, F2, 150) (dual of [249, 2, 151]-code) | [i] | ||
| 16 | Linear OA(2247, 249, F2, 149) (dual of [249, 2, 150]-code) | [i] | ||
| 17 | Linear OA(2247, 249, F2, 148) (dual of [249, 2, 149]-code) | [i] | ||
| 18 | Linear OA(2247, 249, F2, 147) (dual of [249, 2, 148]-code) | [i] | ||
| 19 | Linear OA(2247, 249, F2, 146) (dual of [249, 2, 147]-code) | [i] | ||
| 20 | Linear OA(2247, 249, F2, 145) (dual of [249, 2, 146]-code) | [i] | ||
| 21 | Linear OA(2247, 249, F2, 144) (dual of [249, 2, 145]-code) | [i] | ||
| 22 | Linear OA(2247, 249, F2, 143) (dual of [249, 2, 144]-code) | [i] | ||
| 23 | Linear OA(2247, 249, F2, 142) (dual of [249, 2, 143]-code) | [i] | ||
| 24 | Linear OA(2260, 262, F2, 165) (dual of [262, 2, 166]-code) | [i] | Code Embedding in Larger Space | |
| 25 | Linear OA(2246, 248, F2, 164) (dual of [248, 2, 165]-code) | [i] | Truncation | |
| 26 | Linear OA(2245, 247, F2, 163) (dual of [247, 2, 164]-code) | [i] | ||
| 27 | Linear OA(2243, 245, F2, 161) (dual of [245, 2, 162]-code) | [i] | ||
| 28 | Linear OA(2242, 244, F2, 160) (dual of [244, 2, 161]-code) | [i] | ||
| 29 | Linear OA(2240, 242, F2, 158) (dual of [242, 2, 159]-code) | [i] | ||
| 30 | Linear OA(2239, 241, F2, 157) (dual of [241, 2, 158]-code) | [i] | ||
| 31 | Linear OA(2237, 239, F2, 155) (dual of [239, 2, 156]-code) | [i] | ||
| 32 | Linear OA(2236, 238, F2, 154) (dual of [238, 2, 155]-code) | [i] | ||
| 33 | Linear OA(2234, 236, F2, 152) (dual of [236, 2, 153]-code) | [i] | ||
| 34 | Linear OA(2233, 235, F2, 151) (dual of [235, 2, 152]-code) | [i] | ||
| 35 | Linear OA(2231, 233, F2, 149) (dual of [233, 2, 150]-code) | [i] | ||
| 36 | Linear OA(2230, 232, F2, 148) (dual of [232, 2, 149]-code) | [i] | ||
| 37 | Linear OA(2228, 230, F2, 146) (dual of [230, 2, 147]-code) | [i] | ||
| 38 | Linear OA(2227, 229, F2, 145) (dual of [229, 2, 146]-code) | [i] | ||
| 39 | Linear OA(2225, 227, F2, 143) (dual of [227, 2, 144]-code) | [i] | ||
| 40 | Linear OA(2224, 226, F2, 142) (dual of [226, 2, 143]-code) | [i] | ||
| 41 | Linear OA(2222, 224, F2, 140) (dual of [224, 2, 141]-code) | [i] | ||
| 42 | Linear OA(2221, 223, F2, 139) (dual of [223, 2, 140]-code) | [i] | ||
| 43 | Linear OA(2219, 221, F2, 137) (dual of [221, 2, 138]-code) | [i] | ||
| 44 | Linear OA(2218, 220, F2, 136) (dual of [220, 2, 137]-code) | [i] | ||
| 45 | Linear OA(2216, 218, F2, 134) (dual of [218, 2, 135]-code) | [i] | ||
| 46 | Linear OA(2215, 217, F2, 133) (dual of [217, 2, 134]-code) | [i] | ||
| 47 | Linear OA(2213, 215, F2, 131) (dual of [215, 2, 132]-code) | [i] | ||
| 48 | Linear OA(2212, 214, F2, 130) (dual of [214, 2, 131]-code) | [i] | ||
| 49 | Linear OA(2210, 212, F2, 128) (dual of [212, 2, 129]-code) | [i] | ||
| 50 | Linear OA(2209, 211, F2, 127) (dual of [211, 2, 128]-code) | [i] | ||
| 51 | Linear OA(2207, 209, F2, 125) (dual of [209, 2, 126]-code) | [i] | ||
| 52 | Linear OA(2206, 208, F2, 124) (dual of [208, 2, 125]-code) | [i] | ||
| 53 | Linear OA(2204, 206, F2, 122) (dual of [206, 2, 123]-code) | [i] | ||
| 54 | Linear OA(2203, 205, F2, 121) (dual of [205, 2, 122]-code) | [i] | ||
| 55 | Linear OA(2201, 203, F2, 119) (dual of [203, 2, 120]-code) | [i] | ||
| 56 | Linear OA(2200, 202, F2, 118) (dual of [202, 2, 119]-code) | [i] | ||
| 57 | Linear OA(2198, 200, F2, 116) (dual of [200, 2, 117]-code) | [i] | ||
| 58 | Linear OA(2197, 199, F2, 115) (dual of [199, 2, 116]-code) | [i] | ||
| 59 | Linear OA(2195, 197, F2, 113) (dual of [197, 2, 114]-code) | [i] | ||
| 60 | Linear OA(2194, 196, F2, 112) (dual of [196, 2, 113]-code) | [i] | ||
| 61 | Linear OOA(2247, 83, F2, 3, 165) (dual of [(83, 3), 2, 166]-NRT-code) | [i] | OOA Folding | |