Information on Result #610800
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(28, 17, F2, 4) (dual of [17, 9, 5]-code) | [i] | Truncation | |
| 2 | Linear OA(2138, 275, F2, 35) (dual of [275, 137, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(2193, 272, F2, 60) (dual of [272, 79, 61]-code) | [i] | ||
| 4 | Linear OA(2108, 145, F2, 37) (dual of [145, 37, 38]-code) | [i] | ||
| 5 | Linear OA(2107, 145, F2, 36) (dual of [145, 38, 37]-code) | [i] | ||
| 6 | Linear OA(269, 79, F2, 32) (dual of [79, 10, 33]-code) | [i] | ||
| 7 | Linear OA(2130, 273, F2, 33) (dual of [273, 143, 34]-code) | [i] | ||
| 8 | Linear OA(2242, 272, F2, 99) (dual of [272, 30, 100]-code) | [i] | ||
| 9 | Linear OA(288, 105, F2, 37) (dual of [105, 17, 38]-code) | [i] | Construction XX with Cyclic Codes | |
| 10 | Linear OA(280, 98, F2, 32) (dual of [98, 18, 33]-code) | [i] | ||
| 11 | Linear OA(274, 154, F2, 20) (dual of [154, 80, 21]-code) | [i] | ||
| 12 | Linear OA(274, 153, F2, 21) (dual of [153, 79, 22]-code) | [i] | ||
| 13 | Linear OA(2146, 168, F2, 60) (dual of [168, 22, 61]-code) | [i] | ||
| 14 | Linear OA(2145, 166, F2, 60) (dual of [166, 21, 61]-code) | [i] | ||
| 15 | Linear OA(2144, 164, F2, 60) (dual of [164, 20, 61]-code) | [i] | ||
| 16 | Linear OA(2147, 162, F2, 68) (dual of [162, 15, 69]-code) | [i] | ||
| 17 | Linear OA(2146, 159, F2, 68) (dual of [159, 13, 69]-code) | [i] | ||
| 18 | Linear OA(2143, 282, F2, 38) (dual of [282, 139, 39]-code) | [i] | ||
| 19 | Linear OA(2143, 281, F2, 39) (dual of [281, 138, 40]-code) | [i] | ||
| 20 | Linear OA(2156, 295, F2, 40) (dual of [295, 139, 41]-code) | [i] | ||
| 21 | Linear OA(2156, 294, F2, 41) (dual of [294, 138, 42]-code) | [i] | ||
| 22 | Linear OA(2159, 283, F2, 44) (dual of [283, 124, 45]-code) | [i] | ||
| 23 | Linear OA(2159, 282, F2, 45) (dual of [282, 123, 46]-code) | [i] | ||
| 24 | Linear OA(2172, 296, F2, 46) (dual of [296, 124, 47]-code) | [i] | ||
| 25 | Linear OA(2187, 283, F2, 54) (dual of [283, 96, 55]-code) | [i] | ||
| 26 | Linear OA(2187, 282, F2, 55) (dual of [282, 95, 56]-code) | [i] | ||
| 27 | Linear OA(2241, 287, F2, 94) (dual of [287, 46, 95]-code) | [i] | ||
| 28 | Linear OA(2241, 286, F2, 95) (dual of [286, 45, 96]-code) | [i] | ||
| 29 | Linear OA(2249, 286, F2, 99) (dual of [286, 37, 100]-code) | [i] | ||
| 30 | Linear OA(2227, 539, F2, 53) (dual of [539, 312, 54]-code) | [i] | ||
| 31 | Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 32 | Linear OA(2252, 273, F2, 117) (dual of [273, 21, 118]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 33 | Linear OA(2244, 273, F2, 101) (dual of [273, 29, 102]-code) | [i] | ||
| 34 | Linear OA(2134, 273, F2, 37) (dual of [273, 139, 38]-code) | [i] | ||
| 35 | Linear OA(2244, 274, F2, 97) (dual of [274, 30, 98]-code) | [i] | ||
| 36 | Linear OA(2236, 274, F2, 93) (dual of [274, 38, 94]-code) | [i] | ||
| 37 | Linear OA(2228, 274, F2, 91) (dual of [274, 46, 92]-code) | [i] | ||
| 38 | Linear OA(2194, 274, F2, 59) (dual of [274, 80, 60]-code) | [i] | ||
| 39 | Linear OA(2178, 274, F2, 53) (dual of [274, 96, 54]-code) | [i] | ||
| 40 | Linear OA(2174, 274, F2, 51) (dual of [274, 100, 52]-code) | [i] | ||
| 41 | Linear OA(2158, 274, F2, 45) (dual of [274, 116, 46]-code) | [i] | ||
| 42 | Linear OA(2150, 274, F2, 43) (dual of [274, 124, 44]-code) | [i] | ||
| 43 | Linear OA(2134, 274, F2, 35) (dual of [274, 140, 36]-code) | [i] | ||
| 44 | Linear OA(2136, 144, F2, 69) (dual of [144, 8, 70]-code) | [i] | ||
| 45 | Linear OA(2129, 144, F2, 61) (dual of [144, 15, 62]-code) | [i] | ||
| 46 | Linear OA(2108, 144, F2, 37) (dual of [144, 36, 38]-code) | [i] | ||
| 47 | Linear OA(2122, 146, F2, 49) (dual of [146, 24, 50]-code) | [i] | ||
| 48 | Linear OA(287, 146, F2, 27) (dual of [146, 59, 28]-code) | [i] | ||
| 49 | Linear OA(273, 146, F2, 21) (dual of [146, 73, 22]-code) | [i] | ||
| 50 | Linear OA(266, 146, F2, 19) (dual of [146, 80, 20]-code) | [i] | ||
| 51 | Linear OA(272, 82, F2, 33) (dual of [82, 10, 34]-code) | [i] | ||
| 52 | Linear OA(266, 82, F2, 29) (dual of [82, 16, 30]-code) | [i] | ||
| 53 | Linear OA(263, 81, F2, 27) (dual of [81, 18, 28]-code) | [i] | ||
| 54 | Linear OA(2248, 278, F2, 101) (dual of [278, 30, 102]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 55 | Linear OA(2136, 276, F2, 37) (dual of [276, 140, 38]-code) | [i] | ||
| 56 | Linear OA(2141, 158, F2, 61) (dual of [158, 17, 62]-code) | [i] | ||
| 57 | Linear OA(2137, 153, F2, 61) (dual of [153, 16, 62]-code) | [i] | ||
| 58 | Linear OA(2128, 152, F2, 53) (dual of [152, 24, 54]-code) | [i] | ||
| 59 | Linear OA(2126, 149, F2, 53) (dual of [149, 23, 54]-code) | [i] | ||
| 60 | Linear OA(279, 89, F2, 37) (dual of [89, 10, 38]-code) | [i] | ||
| 61 | Linear OA(2129, 143, F2, 61) (dual of [143, 14, 62]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 62 | Linear OA(2122, 143, F2, 53) (dual of [143, 21, 54]-code) | [i] | ||
| 63 | Linear OA(2121, 143, F2, 52) (dual of [143, 22, 53]-code) | [i] | ||
| 64 | Linear OA(2129, 144, F2, 60) (dual of [144, 15, 61]-code) | [i] | ||
| 65 | Linear OA(2260, 272, F2, 125) (dual of [272, 12, 126]-code) | [i] | ||
| 66 | Linear OA(2252, 272, F2, 117) (dual of [272, 20, 118]-code) | [i] | ||
| 67 | Linear OA(2244, 272, F2, 101) (dual of [272, 28, 102]-code) | [i] | ||
| 68 | Linear OA(276, 88, F2, 33) (dual of [88, 12, 34]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 69 | Linear OA(275, 86, F2, 33) (dual of [86, 11, 34]-code) | [i] | ||
| 70 | Linear OA(273, 83, F2, 33) (dual of [83, 10, 34]-code) | [i] | ||
| 71 | Linear OA(2141, 157, F2, 61) (dual of [157, 16, 62]-code) | [i] | ||
| 72 | Linear OA(2137, 152, F2, 61) (dual of [152, 15, 62]-code) | [i] | ||
| 73 | Linear OA(2146, 169, F2, 53) (dual of [169, 23, 54]-code) | [i] | ||
| 74 | Linear OA(2138, 160, F2, 53) (dual of [160, 22, 54]-code) | [i] | ||
| 75 | Linear OA(2145, 169, F2, 52) (dual of [169, 24, 53]-code) | [i] | ||
| 76 | Linear OA(2137, 160, F2, 52) (dual of [160, 23, 53]-code) | [i] | ||
| 77 | Linear OA(2137, 153, F2, 60) (dual of [153, 16, 61]-code) | [i] | ||
| 78 | Linear OOA(29, 9, F2, 2, 5) (dual of [(9, 2), 9, 6]-NRT-code) | [i] | OOA Folding | |