Information on Result #674207
Linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2140, 284, F2, 35) (dual of [284, 144, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(2110, 152, F2, 37) (dual of [152, 42, 38]-code) | [i] | ||
| 3 | Linear OA(2109, 152, F2, 36) (dual of [152, 43, 37]-code) | [i] | ||
| 4 | Linear OA(2132, 282, F2, 33) (dual of [282, 150, 34]-code) | [i] | ||
| 5 | Linear OA(276, 160, F2, 21) (dual of [160, 84, 22]-code) | [i] | Construction XX with Cyclic Codes | |
| 6 | Linear OA(289, 296, F2, 20) (dual of [296, 207, 21]-code) | [i] | ||
| 7 | Linear OA(289, 295, F2, 21) (dual of [295, 206, 22]-code) | [i] | ||
| 8 | Linear OA(297, 296, F2, 22) (dual of [296, 199, 23]-code) | [i] | ||
| 9 | Linear OA(297, 295, F2, 23) (dual of [295, 198, 24]-code) | [i] | ||
| 10 | Linear OA(2108, 299, F2, 25) (dual of [299, 191, 26]-code) | [i] | ||
| 11 | Linear OA(2105, 296, F2, 24) (dual of [296, 191, 25]-code) | [i] | ||
| 12 | Linear OA(2105, 295, F2, 25) (dual of [295, 190, 26]-code) | [i] | ||
| 13 | Linear OA(2137, 287, F2, 35) (dual of [287, 150, 36]-code) | [i] | ||
| 14 | Linear OA(2164, 295, F2, 45) (dual of [295, 131, 46]-code) | [i] | ||
| 15 | Linear OA(2161, 292, F2, 44) (dual of [292, 131, 45]-code) | [i] | ||
| 16 | Linear OA(2161, 291, F2, 45) (dual of [291, 130, 46]-code) | [i] | ||
| 17 | Linear OA(2172, 295, F2, 47) (dual of [295, 123, 48]-code) | [i] | ||
| 18 | Linear OA(2169, 292, F2, 46) (dual of [292, 123, 47]-code) | [i] | ||
| 19 | Linear OA(2169, 291, F2, 47) (dual of [291, 122, 48]-code) | [i] | ||
| 20 | Linear OA(2174, 305, F2, 46) (dual of [305, 131, 47]-code) | [i] | ||
| 21 | Linear OA(2174, 304, F2, 47) (dual of [304, 130, 48]-code) | [i] | ||
| 22 | Linear OA(2181, 295, F2, 51) (dual of [295, 114, 52]-code) | [i] | ||
| 23 | Linear OA(2185, 291, F2, 53) (dual of [291, 106, 54]-code) | [i] | ||
| 24 | Linear OA(2239, 286, F2, 92) (dual of [286, 47, 93]-code) | [i] | ||
| 25 | Linear OA(2239, 285, F2, 93) (dual of [285, 46, 94]-code) | [i] | ||
| 26 | Linear OA(2256, 303, F2, 96) (dual of [303, 47, 97]-code) | [i] | ||
| 27 | Linear OA(2251, 296, F2, 96) (dual of [296, 45, 97]-code) | [i] | ||
| 28 | Linear OA(2256, 302, F2, 97) (dual of [302, 46, 98]-code) | [i] | ||
| 29 | Linear OA(2251, 295, F2, 97) (dual of [295, 44, 98]-code) | [i] | ||
| 30 | Linear OA(2247, 285, F2, 97) (dual of [285, 38, 98]-code) | [i] | ||
| 31 | Linear OA(2169, 554, F2, 37) (dual of [554, 385, 38]-code) | [i] | ||
| 32 | Linear OA(2166, 551, F2, 36) (dual of [551, 385, 37]-code) | [i] | ||
| 33 | Linear OA(2166, 550, F2, 37) (dual of [550, 384, 38]-code) | [i] | ||
| 34 | Linear OA(2178, 554, F2, 39) (dual of [554, 376, 40]-code) | [i] | ||
| 35 | Linear OA(2175, 551, F2, 38) (dual of [551, 376, 39]-code) | [i] | ||
| 36 | Linear OA(2175, 550, F2, 39) (dual of [550, 375, 40]-code) | [i] | ||
| 37 | Linear OA(2184, 569, F2, 39) (dual of [569, 385, 40]-code) | [i] | ||
| 38 | Linear OA(2180, 565, F2, 38) (dual of [565, 385, 39]-code) | [i] | ||
| 39 | Linear OA(2180, 564, F2, 39) (dual of [564, 384, 40]-code) | [i] | ||
| 40 | Linear OA(2194, 576, F2, 40) (dual of [576, 382, 41]-code) | [i] | ||
| 41 | Linear OA(2194, 573, F2, 41) (dual of [573, 379, 42]-code) | [i] | ||
| 42 | Linear OA(2193, 569, F2, 41) (dual of [569, 376, 42]-code) | [i] | ||
| 43 | Linear OA(2189, 565, F2, 40) (dual of [565, 376, 41]-code) | [i] | ||
| 44 | Linear OA(2189, 564, F2, 41) (dual of [564, 375, 42]-code) | [i] | ||
| 45 | Linear OA(2204, 576, F2, 42) (dual of [576, 372, 43]-code) | [i] | ||
| 46 | Linear OA(2203, 576, F2, 42) (dual of [576, 373, 43]-code) | [i] | ||
| 47 | Linear OA(2203, 573, F2, 43) (dual of [573, 370, 44]-code) | [i] | ||
| 48 | Linear OA(2198, 564, F2, 43) (dual of [564, 366, 44]-code) | [i] | ||
| 49 | Linear OA(2232, 565, F2, 51) (dual of [565, 333, 52]-code) | [i] | ||
| 50 | Linear OA(2231, 563, F2, 51) (dual of [563, 332, 52]-code) | [i] | ||
| 51 | Linear OA(2232, 554, F2, 53) (dual of [554, 322, 54]-code) | [i] | ||
| 52 | Linear OA(2229, 551, F2, 52) (dual of [551, 322, 53]-code) | [i] | ||
| 53 | Linear OA(2229, 550, F2, 53) (dual of [550, 321, 54]-code) | [i] | ||
| 54 | Linear OA(2241, 554, F2, 55) (dual of [554, 313, 56]-code) | [i] | ||
| 55 | Linear OA(2238, 551, F2, 54) (dual of [551, 313, 55]-code) | [i] | ||
| 56 | Linear OA(2238, 550, F2, 55) (dual of [550, 312, 56]-code) | [i] | ||
| 57 | Linear OA(2247, 569, F2, 55) (dual of [569, 322, 56]-code) | [i] | ||
| 58 | Linear OA(2243, 565, F2, 54) (dual of [565, 322, 55]-code) | [i] | ||
| 59 | Linear OA(2243, 564, F2, 55) (dual of [564, 321, 56]-code) | [i] | ||
| 60 | Linear OA(2258, 576, F2, 56) (dual of [576, 318, 57]-code) | [i] | ||
| 61 | Linear OA(2257, 576, F2, 56) (dual of [576, 319, 57]-code) | [i] | ||
| 62 | Linear OA(2257, 573, F2, 57) (dual of [573, 316, 58]-code) | [i] | ||
| 63 | Linear OA(2256, 569, F2, 57) (dual of [569, 313, 58]-code) | [i] | ||
| 64 | Linear OA(2252, 565, F2, 56) (dual of [565, 313, 57]-code) | [i] | ||
| 65 | Linear OA(2252, 564, F2, 57) (dual of [564, 312, 58]-code) | [i] | ||
| 66 | Linear OA(2228, 541, F2, 53) (dual of [541, 313, 54]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 67 | Linear OA(2219, 541, F2, 51) (dual of [541, 322, 52]-code) | [i] | ||
| 68 | Linear OA(2165, 541, F2, 37) (dual of [541, 376, 38]-code) | [i] | ||
| 69 | Linear OA(2156, 541, F2, 35) (dual of [541, 385, 36]-code) | [i] | ||
| 70 | Linear OA(2246, 283, F2, 97) (dual of [283, 37, 98]-code) | [i] | ||
| 71 | Linear OA(2238, 283, F2, 93) (dual of [283, 45, 94]-code) | [i] | ||
| 72 | Linear OA(2196, 283, F2, 59) (dual of [283, 87, 60]-code) | [i] | ||
| 73 | Linear OA(2176, 283, F2, 51) (dual of [283, 107, 52]-code) | [i] | ||
| 74 | Linear OA(2160, 283, F2, 45) (dual of [283, 123, 46]-code) | [i] | ||
| 75 | Linear OA(2152, 283, F2, 43) (dual of [283, 131, 44]-code) | [i] | ||
| 76 | Linear OA(2136, 283, F2, 35) (dual of [283, 147, 36]-code) | [i] | ||
| 77 | Linear OA(296, 287, F2, 23) (dual of [287, 191, 24]-code) | [i] | ||
| 78 | Linear OA(288, 287, F2, 21) (dual of [287, 199, 22]-code) | [i] | ||
| 79 | Linear OA(280, 287, F2, 19) (dual of [287, 207, 20]-code) | [i] | ||
| 80 | Linear OA(2124, 153, F2, 49) (dual of [153, 29, 50]-code) | [i] | ||
| 81 | Linear OA(289, 153, F2, 27) (dual of [153, 64, 28]-code) | [i] | ||
| 82 | Linear OA(275, 153, F2, 21) (dual of [153, 78, 22]-code) | [i] | ||
| 83 | Linear OA(268, 153, F2, 19) (dual of [153, 85, 20]-code) | [i] | ||
| 84 | Linear OA(212, 38, F2, 5) (dual of [38, 26, 6]-code) | [i] | ✔ | |
| 85 | Linear OA(2232, 548, F2, 53) (dual of [548, 316, 54]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 86 | Linear OA(2231, 546, F2, 53) (dual of [546, 315, 54]-code) | [i] | ||
| 87 | Linear OA(2223, 548, F2, 51) (dual of [548, 325, 52]-code) | [i] | ||
| 88 | Linear OA(2222, 546, F2, 51) (dual of [546, 324, 52]-code) | [i] | ||
| 89 | Linear OA(2169, 548, F2, 37) (dual of [548, 379, 38]-code) | [i] | ||
| 90 | Linear OA(2168, 546, F2, 37) (dual of [546, 378, 38]-code) | [i] | ||
| 91 | Linear OA(2160, 548, F2, 35) (dual of [548, 388, 36]-code) | [i] | ||
| 92 | Linear OA(2159, 546, F2, 35) (dual of [546, 387, 36]-code) | [i] | ||
| 93 | Linear OA(2254, 295, F2, 97) (dual of [295, 41, 98]-code) | [i] | ||
| 94 | Linear OA(2253, 293, F2, 97) (dual of [293, 40, 98]-code) | [i] | ||
| 95 | Linear OA(2252, 291, F2, 97) (dual of [291, 39, 98]-code) | [i] | ||
| 96 | Linear OA(2250, 288, F2, 97) (dual of [288, 38, 98]-code) | [i] | ||
| 97 | Linear OA(2241, 288, F2, 93) (dual of [288, 47, 94]-code) | [i] | ||
| 98 | Linear OA(2240, 286, F2, 93) (dual of [286, 46, 94]-code) | [i] | ||
| 99 | Linear OA(2184, 286, F2, 53) (dual of [286, 102, 54]-code) | [i] | ||
| 100 | Linear OA(2183, 284, F2, 53) (dual of [284, 101, 54]-code) | [i] | ||
| 101 | Linear OA(2182, 282, F2, 53) (dual of [282, 100, 54]-code) | [i] | ||
| 102 | Linear OA(2181, 292, F2, 51) (dual of [292, 111, 52]-code) | [i] | ||
| 103 | Linear OA(2180, 290, F2, 51) (dual of [290, 110, 52]-code) | [i] | ||
| 104 | Linear OA(2179, 288, F2, 51) (dual of [288, 109, 52]-code) | [i] | ||
| 105 | Linear OA(2178, 286, F2, 51) (dual of [286, 108, 52]-code) | [i] | ||
| 106 | Linear OA(2165, 292, F2, 45) (dual of [292, 127, 46]-code) | [i] | ||
| 107 | Linear OA(2164, 290, F2, 45) (dual of [290, 126, 46]-code) | [i] | ||
| 108 | Linear OA(2163, 288, F2, 45) (dual of [288, 125, 46]-code) | [i] | ||
| 109 | Linear OA(2162, 286, F2, 45) (dual of [286, 124, 46]-code) | [i] | ||
| 110 | Linear OA(2164, 299, F2, 43) (dual of [299, 135, 44]-code) | [i] | ||
| 111 | Linear OA(2163, 297, F2, 43) (dual of [297, 134, 44]-code) | [i] | ||
| 112 | Linear OA(2161, 294, F2, 43) (dual of [294, 133, 44]-code) | [i] | ||
| 113 | Linear OA(2158, 290, F2, 43) (dual of [290, 132, 44]-code) | [i] | ||
| 114 | Linear OA(2141, 292, F2, 35) (dual of [292, 151, 36]-code) | [i] | ||
| 115 | Linear OA(2140, 290, F2, 35) (dual of [290, 150, 36]-code) | [i] | ||
| 116 | Linear OA(2139, 288, F2, 35) (dual of [288, 149, 36]-code) | [i] | ||
| 117 | Linear OA(2138, 286, F2, 35) (dual of [286, 148, 36]-code) | [i] | ||
| 118 | Linear OA(298, 290, F2, 23) (dual of [290, 192, 24]-code) | [i] | ||
| 119 | Linear OA(290, 290, F2, 21) (dual of [290, 200, 22]-code) | [i] | ||
| 120 | Linear OA(212, 39, F2, 5) (dual of [39, 27, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 121 | Linear OA(2155, 178, F2, 53) (dual of [178, 23, 54]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 122 | Linear OA(2147, 169, F2, 53) (dual of [169, 22, 54]-code) | [i] | ||
| 123 | Linear OA(2156, 183, F2, 53) (dual of [183, 27, 54]-code) | [i] | ||
| 124 | Linear OA(2155, 183, F2, 52) (dual of [183, 28, 53]-code) | [i] | ||
| 125 | Linear OA(2151, 173, F2, 60) (dual of [173, 22, 61]-code) | [i] | ||
| 126 | Linear OA(2150, 172, F2, 60) (dual of [172, 22, 61]-code) | [i] | ||
| 127 | Linear OA(2147, 167, F2, 60) (dual of [167, 20, 61]-code) | [i] | ||
| 128 | Linear OOA(211, 16, F2, 2, 5) (dual of [(16, 2), 21, 6]-NRT-code) | [i] | OOA Folding | |