Information on Result #609951
Linear OA(2223, 225, F2, 149) (dual of [225, 2, 150]-code), using repeating each code word 75 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(2223, 225, F2, 148) (dual of [225, 2, 149]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2223, 225, F2, 147) (dual of [225, 2, 148]-code) | [i] | ||
| 3 | Linear OA(2223, 225, F2, 146) (dual of [225, 2, 147]-code) | [i] | ||
| 4 | Linear OA(2223, 225, F2, 145) (dual of [225, 2, 146]-code) | [i] | ||
| 5 | Linear OA(2223, 225, F2, 144) (dual of [225, 2, 145]-code) | [i] | ||
| 6 | Linear OA(2223, 225, F2, 143) (dual of [225, 2, 144]-code) | [i] | ||
| 7 | Linear OA(2223, 225, F2, 142) (dual of [225, 2, 143]-code) | [i] | ||
| 8 | Linear OA(2223, 225, F2, 141) (dual of [225, 2, 142]-code) | [i] | ||
| 9 | Linear OA(2223, 225, F2, 140) (dual of [225, 2, 141]-code) | [i] | ||
| 10 | Linear OA(2223, 225, F2, 139) (dual of [225, 2, 140]-code) | [i] | ||
| 11 | Linear OA(2223, 225, F2, 138) (dual of [225, 2, 139]-code) | [i] | ||
| 12 | Linear OA(2223, 225, F2, 137) (dual of [225, 2, 138]-code) | [i] | ||
| 13 | Linear OA(2223, 225, F2, 136) (dual of [225, 2, 137]-code) | [i] | ||
| 14 | Linear OA(2223, 225, F2, 135) (dual of [225, 2, 136]-code) | [i] | ||
| 15 | Linear OA(2223, 225, F2, 134) (dual of [225, 2, 135]-code) | [i] | ||
| 16 | Linear OA(2223, 225, F2, 133) (dual of [225, 2, 134]-code) | [i] | ||
| 17 | Linear OA(2223, 225, F2, 132) (dual of [225, 2, 133]-code) | [i] | ||
| 18 | Linear OA(2223, 225, F2, 131) (dual of [225, 2, 132]-code) | [i] | ||
| 19 | Linear OA(2223, 225, F2, 130) (dual of [225, 2, 131]-code) | [i] | ||
| 20 | Linear OA(2223, 225, F2, 129) (dual of [225, 2, 130]-code) | [i] | ||
| 21 | Linear OA(2223, 225, F2, 128) (dual of [225, 2, 129]-code) | [i] | ||
| 22 | Linear OA(2222, 224, F2, 148) (dual of [224, 2, 149]-code) | [i] | Truncation | |
| 23 | Linear OA(2221, 223, F2, 147) (dual of [223, 2, 148]-code) | [i] | ||
| 24 | Linear OA(2219, 221, F2, 145) (dual of [221, 2, 146]-code) | [i] | ||
| 25 | Linear OA(2218, 220, F2, 144) (dual of [220, 2, 145]-code) | [i] | ||
| 26 | Linear OA(2216, 218, F2, 142) (dual of [218, 2, 143]-code) | [i] | ||
| 27 | Linear OA(2215, 217, F2, 141) (dual of [217, 2, 142]-code) | [i] | ||
| 28 | Linear OA(2213, 215, F2, 139) (dual of [215, 2, 140]-code) | [i] | ||
| 29 | Linear OA(2212, 214, F2, 138) (dual of [214, 2, 139]-code) | [i] | ||
| 30 | Linear OA(2210, 212, F2, 136) (dual of [212, 2, 137]-code) | [i] | ||
| 31 | Linear OA(2209, 211, F2, 135) (dual of [211, 2, 136]-code) | [i] | ||
| 32 | Linear OA(2207, 209, F2, 133) (dual of [209, 2, 134]-code) | [i] | ||
| 33 | Linear OA(2206, 208, F2, 132) (dual of [208, 2, 133]-code) | [i] | ||
| 34 | Linear OA(2204, 206, F2, 130) (dual of [206, 2, 131]-code) | [i] | ||
| 35 | Linear OA(2203, 205, F2, 129) (dual of [205, 2, 130]-code) | [i] | ||
| 36 | Linear OA(2201, 203, F2, 127) (dual of [203, 2, 128]-code) | [i] | ||
| 37 | Linear OA(2200, 202, F2, 126) (dual of [202, 2, 127]-code) | [i] | ||
| 38 | Linear OA(2198, 200, F2, 124) (dual of [200, 2, 125]-code) | [i] | ||
| 39 | Linear OA(2197, 199, F2, 123) (dual of [199, 2, 124]-code) | [i] | ||
| 40 | Linear OA(2195, 197, F2, 121) (dual of [197, 2, 122]-code) | [i] | ||
| 41 | Linear OA(2194, 196, F2, 120) (dual of [196, 2, 121]-code) | [i] | ||
| 42 | Linear OA(2192, 194, F2, 118) (dual of [194, 2, 119]-code) | [i] | ||
| 43 | Linear OA(2191, 193, F2, 117) (dual of [193, 2, 118]-code) | [i] | ||
| 44 | Linear OA(2189, 191, F2, 115) (dual of [191, 2, 116]-code) | [i] | ||
| 45 | Linear OA(2188, 190, F2, 114) (dual of [190, 2, 115]-code) | [i] | ||
| 46 | Linear OA(2186, 188, F2, 112) (dual of [188, 2, 113]-code) | [i] | ||
| 47 | Linear OA(2185, 187, F2, 111) (dual of [187, 2, 112]-code) | [i] | ||
| 48 | Linear OA(2183, 185, F2, 109) (dual of [185, 2, 110]-code) | [i] | ||
| 49 | Linear OA(2182, 184, F2, 108) (dual of [184, 2, 109]-code) | [i] | ||
| 50 | Linear OA(2180, 182, F2, 106) (dual of [182, 2, 107]-code) | [i] | ||
| 51 | Linear OA(2179, 181, F2, 105) (dual of [181, 2, 106]-code) | [i] | ||
| 52 | Linear OA(2177, 179, F2, 103) (dual of [179, 2, 104]-code) | [i] | ||
| 53 | Linear OA(2176, 178, F2, 102) (dual of [178, 2, 103]-code) | [i] | ||
| 54 | Linear OA(2174, 176, F2, 100) (dual of [176, 2, 101]-code) | [i] | ||
| 55 | Linear OOA(2223, 75, F2, 3, 149) (dual of [(75, 3), 2, 150]-NRT-code) | [i] | OOA Folding | |
| 56 | Linear OOA(2223, 45, F2, 5, 149) (dual of [(45, 5), 2, 150]-NRT-code) | [i] | ||