Information on Result #610842
Linear OA(211, 33, F2, 5) (dual of [33, 22, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 33 | 210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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(210, 32, F2, 4) (dual of [32, 22, 5]-code) | [i] | Truncation | |
| 2 | Linear OA(235, 81, F2, 11) (dual of [81, 46, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(213, 36, F2, 5) (dual of [36, 23, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(2252, 1058, F2, 47) (dual of [1058, 806, 48]-code) | [i] | ||
| 5 | Linear OA(2105, 293, F2, 24) (dual of [293, 188, 25]-code) | [i] | Construction XX with Cyclic Codes | |
| 6 | Linear OA(2105, 293, F2, 25) (dual of [293, 188, 26]-code) | [i] | ||
| 7 | Linear OA(2113, 297, F2, 26) (dual of [297, 184, 27]-code) | [i] | ||
| 8 | Linear OA(2113, 297, F2, 27) (dual of [297, 184, 28]-code) | [i] | ||
| 9 | Linear OA(2121, 297, F2, 28) (dual of [297, 176, 29]-code) | [i] | ||
| 10 | Linear OA(2121, 297, F2, 29) (dual of [297, 176, 30]-code) | [i] | ||
| 11 | Linear OA(2129, 297, F2, 30) (dual of [297, 168, 31]-code) | [i] | ||
| 12 | Linear OA(2134, 310, F2, 31) (dual of [310, 176, 32]-code) | [i] | ||
| 13 | Linear OA(2129, 297, F2, 31) (dual of [297, 168, 32]-code) | [i] | ||
| 14 | Linear OA(2137, 297, F2, 32) (dual of [297, 160, 33]-code) | [i] | ||
| 15 | Linear OA(2137, 297, F2, 33) (dual of [297, 160, 34]-code) | [i] | ||
| 16 | Linear OA(2130, 554, F2, 27) (dual of [554, 424, 28]-code) | [i] | ||
| 17 | Linear OA(2139, 554, F2, 28) (dual of [554, 415, 29]-code) | [i] | ||
| 18 | Linear OA(2139, 554, F2, 29) (dual of [554, 415, 30]-code) | [i] | ||
| 19 | Linear OA(2148, 554, F2, 30) (dual of [554, 406, 31]-code) | [i] | ||
| 20 | Linear OA(2148, 554, F2, 31) (dual of [554, 406, 32]-code) | [i] | ||
| 21 | Linear OA(2157, 554, F2, 32) (dual of [554, 397, 33]-code) | [i] | ||
| 22 | Linear OA(2157, 554, F2, 33) (dual of [554, 397, 34]-code) | [i] | ||
| 23 | Linear OA(2188, 558, F2, 40) (dual of [558, 370, 41]-code) | [i] | ||
| 24 | Linear OA(2194, 573, F2, 41) (dual of [573, 379, 42]-code) | [i] | ||
| 25 | Linear OA(2188, 558, F2, 41) (dual of [558, 370, 42]-code) | [i] | ||
| 26 | Linear OA(2193, 554, F2, 42) (dual of [554, 361, 43]-code) | [i] | ||
| 27 | Linear OA(2203, 573, F2, 43) (dual of [573, 370, 44]-code) | [i] | ||
| 28 | Linear OA(2193, 554, F2, 43) (dual of [554, 361, 44]-code) | [i] | ||
| 29 | Linear OA(2207, 568, F2, 44) (dual of [568, 361, 45]-code) | [i] | ||
| 30 | Linear OA(2202, 554, F2, 44) (dual of [554, 352, 45]-code) | [i] | ||
| 31 | Linear OA(2207, 568, F2, 45) (dual of [568, 361, 46]-code) | [i] | ||
| 32 | Linear OA(2202, 554, F2, 45) (dual of [554, 352, 46]-code) | [i] | ||
| 33 | Linear OA(2216, 568, F2, 46) (dual of [568, 352, 47]-code) | [i] | ||
| 34 | Linear OA(2211, 554, F2, 46) (dual of [554, 343, 47]-code) | [i] | ||
| 35 | Linear OA(2216, 568, F2, 47) (dual of [568, 352, 48]-code) | [i] | ||
| 36 | Linear OA(2211, 554, F2, 47) (dual of [554, 343, 48]-code) | [i] | ||
| 37 | Linear OA(2225, 568, F2, 48) (dual of [568, 343, 49]-code) | [i] | ||
| 38 | Linear OA(2220, 554, F2, 48) (dual of [554, 334, 49]-code) | [i] | ||
| 39 | Linear OA(2225, 568, F2, 49) (dual of [568, 343, 50]-code) | [i] | ||
| 40 | Linear OA(2220, 554, F2, 49) (dual of [554, 334, 50]-code) | [i] | ||
| 41 | Linear OA(2251, 558, F2, 56) (dual of [558, 307, 57]-code) | [i] | ||
| 42 | Linear OA(2257, 573, F2, 57) (dual of [573, 316, 58]-code) | [i] | ||
| 43 | Linear OA(2251, 558, F2, 57) (dual of [558, 307, 58]-code) | [i] | ||
| 44 | Linear OA(2256, 554, F2, 58) (dual of [554, 298, 59]-code) | [i] | ||
| 45 | Linear OA(2256, 554, F2, 59) (dual of [554, 298, 60]-code) | [i] | ||
| 46 | Linear OA(2188, 1068, F2, 36) (dual of [1068, 880, 37]-code) | [i] | ||
| 47 | Linear OA(2188, 1067, F2, 37) (dual of [1067, 879, 38]-code) | [i] | ||
| 48 | Linear OA(2198, 1068, F2, 38) (dual of [1068, 870, 39]-code) | [i] | ||
| 49 | Linear OA(2198, 1067, F2, 39) (dual of [1067, 869, 40]-code) | [i] | ||
| 50 | Linear OA(2203, 1083, F2, 38) (dual of [1083, 880, 39]-code) | [i] | ||
| 51 | Linear OA(2203, 1082, F2, 39) (dual of [1082, 879, 40]-code) | [i] | ||
| 52 | Linear OA(2208, 1068, F2, 40) (dual of [1068, 860, 41]-code) | [i] | ||
| 53 | Linear OA(2208, 1067, F2, 41) (dual of [1067, 859, 42]-code) | [i] | ||
| 54 | Linear OA(2213, 1083, F2, 40) (dual of [1083, 870, 41]-code) | [i] | ||
| 55 | Linear OA(2213, 1082, F2, 41) (dual of [1082, 869, 42]-code) | [i] | ||
| 56 | Linear OA(2223, 1083, F2, 42) (dual of [1083, 860, 43]-code) | [i] | ||
| 57 | Linear OA(2223, 1082, F2, 43) (dual of [1082, 859, 44]-code) | [i] | ||
| 58 | Linear OA(2218, 1067, F2, 43) (dual of [1067, 849, 44]-code) | [i] | ||
| 59 | Linear OA(2233, 1082, F2, 45) (dual of [1082, 849, 46]-code) | [i] | ||
| 60 | Linear OA(2228, 1067, F2, 45) (dual of [1067, 839, 46]-code) | [i] | ||
| 61 | Linear OA(2243, 1082, F2, 47) (dual of [1082, 839, 48]-code) | [i] | ||
| 62 | Linear OA(2238, 1067, F2, 47) (dual of [1067, 829, 48]-code) | [i] | ||
| 63 | Linear OA(2253, 1082, F2, 49) (dual of [1082, 829, 50]-code) | [i] | ||
| 64 | Linear OA(2248, 1067, F2, 49) (dual of [1067, 819, 50]-code) | [i] | ||
| 65 | Linear OA(2258, 1067, F2, 51) (dual of [1067, 809, 52]-code) | [i] | ||
| 66 | Linear OA(2257, 1057, F2, 51) (dual of [1057, 800, 52]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 67 | Linear OA(2247, 1057, F2, 49) (dual of [1057, 810, 50]-code) | [i] | ||
| 68 | Linear OA(2237, 1057, F2, 47) (dual of [1057, 820, 48]-code) | [i] | ||
| 69 | Linear OA(2227, 1057, F2, 45) (dual of [1057, 830, 46]-code) | [i] | ||
| 70 | Linear OA(2217, 1057, F2, 43) (dual of [1057, 840, 44]-code) | [i] | ||
| 71 | Linear OA(2207, 1057, F2, 41) (dual of [1057, 850, 42]-code) | [i] | ||
| 72 | Linear OA(2197, 1057, F2, 39) (dual of [1057, 860, 40]-code) | [i] | ||
| 73 | Linear OA(2187, 1057, F2, 37) (dual of [1057, 870, 38]-code) | [i] | ||
| 74 | Linear OA(2177, 1057, F2, 35) (dual of [1057, 880, 36]-code) | [i] | ||
| 75 | Linear OA(2172, 1057, F2, 33) (dual of [1057, 885, 34]-code) | [i] | ||
| 76 | Linear OA(2162, 1057, F2, 31) (dual of [1057, 895, 32]-code) | [i] | ||
| 77 | Linear OA(2152, 1057, F2, 29) (dual of [1057, 905, 30]-code) | [i] | ||
| 78 | Linear OA(2142, 1057, F2, 27) (dual of [1057, 915, 28]-code) | [i] | ||
| 79 | Linear OA(2132, 1057, F2, 25) (dual of [1057, 925, 26]-code) | [i] | ||
| 80 | Linear OA(2255, 545, F2, 59) (dual of [545, 290, 60]-code) | [i] | ||
| 81 | Linear OA(2246, 545, F2, 57) (dual of [545, 299, 58]-code) | [i] | ||
| 82 | Linear OA(2219, 545, F2, 49) (dual of [545, 326, 50]-code) | [i] | ||
| 83 | Linear OA(2210, 545, F2, 47) (dual of [545, 335, 48]-code) | [i] | ||
| 84 | Linear OA(2201, 545, F2, 45) (dual of [545, 344, 46]-code) | [i] | ||
| 85 | Linear OA(2192, 545, F2, 43) (dual of [545, 353, 44]-code) | [i] | ||
| 86 | Linear OA(2183, 545, F2, 41) (dual of [545, 362, 42]-code) | [i] | ||
| 87 | Linear OA(2156, 545, F2, 33) (dual of [545, 389, 34]-code) | [i] | ||
| 88 | Linear OA(2147, 545, F2, 31) (dual of [545, 398, 32]-code) | [i] | ||
| 89 | Linear OA(2138, 545, F2, 29) (dual of [545, 407, 30]-code) | [i] | ||
| 90 | Linear OA(2129, 545, F2, 27) (dual of [545, 416, 28]-code) | [i] | ||
| 91 | Linear OA(2120, 545, F2, 25) (dual of [545, 425, 26]-code) | [i] | ||
| 92 | Linear OA(2176, 289, F2, 49) (dual of [289, 113, 50]-code) | [i] | ||
| 93 | Linear OA(2136, 289, F2, 33) (dual of [289, 153, 34]-code) | [i] | ||
| 94 | Linear OA(2128, 289, F2, 31) (dual of [289, 161, 32]-code) | [i] | ||
| 95 | Linear OA(2120, 289, F2, 29) (dual of [289, 169, 30]-code) | [i] | ||
| 96 | Linear OA(2112, 289, F2, 27) (dual of [289, 177, 28]-code) | [i] | ||
| 97 | Linear OA(2104, 289, F2, 25) (dual of [289, 185, 26]-code) | [i] | ||
| 98 | Linear OA(2233, 550, F2, 53) (dual of [550, 317, 54]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 99 | Linear OA(2224, 550, F2, 51) (dual of [550, 326, 52]-code) | [i] | ||
| 100 | Linear OA(2170, 550, F2, 37) (dual of [550, 380, 38]-code) | [i] | ||
| 101 | Linear OA(2161, 550, F2, 35) (dual of [550, 389, 36]-code) | [i] | ||
| 102 | Linear OA(299, 292, F2, 23) (dual of [292, 193, 24]-code) | [i] | ||