Information on Result #611524
Linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111
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(2235, 256, F2, 110) (dual of [256, 21, 111]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2235, 256, F2, 109) (dual of [256, 21, 110]-code) | [i] | ||
| 3 | Linear OA(2235, 256, F2, 108) (dual of [256, 21, 109]-code) | [i] | ||
| 4 | Linear OA(2235, 256, F2, 107) (dual of [256, 21, 108]-code) | [i] | ||
| 5 | Linear OA(2235, 256, F2, 106) (dual of [256, 21, 107]-code) | [i] | ||
| 6 | Linear OA(2235, 256, F2, 105) (dual of [256, 21, 106]-code) | [i] | ||
| 7 | Linear OA(2235, 256, F2, 104) (dual of [256, 21, 105]-code) | [i] | ||
| 8 | Linear OA(2235, 256, F2, 103) (dual of [256, 21, 104]-code) | [i] | ||
| 9 | Linear OA(2236, 257, F2, 111) (dual of [257, 21, 112]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(2237, 258, F2, 111) (dual of [258, 21, 112]-code) | [i] | ||
| 11 | Linear OA(2238, 259, F2, 111) (dual of [259, 21, 112]-code) | [i] | ||
| 12 | Linear OA(2239, 260, F2, 111) (dual of [260, 21, 112]-code) | [i] | ||
| 13 | Linear OA(2240, 261, F2, 111) (dual of [261, 21, 112]-code) | [i] | ||
| 14 | Linear OA(2241, 262, F2, 111) (dual of [262, 21, 112]-code) | [i] | ||
| 15 | Linear OA(2234, 255, F2, 110) (dual of [255, 21, 111]-code) | [i] | Truncation | |
| 16 | Linear OA(2233, 254, F2, 109) (dual of [254, 21, 110]-code) | [i] | ||
| 17 | Linear OA(2232, 253, F2, 108) (dual of [253, 21, 109]-code) | [i] | ||
| 18 | Linear OA(2231, 252, F2, 107) (dual of [252, 21, 108]-code) | [i] | ||
| 19 | Linear OA(2230, 251, F2, 106) (dual of [251, 21, 107]-code) | [i] | ||
| 20 | Linear OA(2229, 250, F2, 105) (dual of [250, 21, 106]-code) | [i] | ||
| 21 | Linear OA(2228, 249, F2, 104) (dual of [249, 21, 105]-code) | [i] | ||
| 22 | Linear OA(2227, 248, F2, 103) (dual of [248, 21, 104]-code) | [i] | ||
| 23 | Linear OA(2226, 247, F2, 102) (dual of [247, 21, 103]-code) | [i] | ||
| 24 | Linear OA(2225, 246, F2, 101) (dual of [246, 21, 102]-code) | [i] | ||
| 25 | Linear OA(2224, 245, F2, 100) (dual of [245, 21, 101]-code) | [i] | ||
| 26 | Linear OA(2223, 244, F2, 99) (dual of [244, 21, 100]-code) | [i] | ||
| 27 | Linear OA(2222, 243, F2, 98) (dual of [243, 21, 99]-code) | [i] | ||
| 28 | Linear OA(2221, 242, F2, 97) (dual of [242, 21, 98]-code) | [i] | ||
| 29 | Linear OA(2220, 241, F2, 96) (dual of [241, 21, 97]-code) | [i] | ||
| 30 | Linear OA(2219, 240, F2, 95) (dual of [240, 21, 96]-code) | [i] | ||
| 31 | Linear OA(2218, 239, F2, 94) (dual of [239, 21, 95]-code) | [i] | ||
| 32 | Linear OA(2217, 238, F2, 93) (dual of [238, 21, 94]-code) | [i] | ||
| 33 | Linear OA(2216, 237, F2, 92) (dual of [237, 21, 93]-code) | [i] | ||
| 34 | Linear OA(2215, 236, F2, 91) (dual of [236, 21, 92]-code) | [i] | ||
| 35 | Linear OA(2214, 235, F2, 90) (dual of [235, 21, 91]-code) | [i] | ||
| 36 | Linear OA(2213, 234, F2, 89) (dual of [234, 21, 90]-code) | [i] | ||
| 37 | Linear OA(2212, 233, F2, 88) (dual of [233, 21, 89]-code) | [i] | ||
| 38 | Linear OA(2256, 277, F2, 112) (dual of [277, 21, 113]-code) | [i] | Juxtaposition | |
| 39 | Linear OA(2244, 265, F2, 113) (dual of [265, 21, 114]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 40 | Linear OA(2250, 264, F2, 119) (dual of [264, 14, 120]-code) | [i] | ✔ | |
| 41 | Linear OA(2253, 268, F2, 119) (dual of [268, 15, 120]-code) | [i] | ✔ | |
| 42 | Linear OA(2254, 272, F2, 119) (dual of [272, 18, 120]-code) | [i] | ✔ | |
| 43 | Linear OA(2255, 276, F2, 119) (dual of [276, 21, 120]-code) | [i] | ✔ | |
| 44 | Linear OA(2250, 265, F2, 117) (dual of [265, 15, 118]-code) | [i] | ✔ | |
| 45 | Linear OA(2251, 268, F2, 117) (dual of [268, 17, 118]-code) | [i] | ✔ | |
| 46 | Linear OA(2252, 273, F2, 117) (dual of [273, 21, 118]-code) | [i] | ✔ | |
| 47 | Linear OA(2247, 264, F2, 115) (dual of [264, 17, 116]-code) | [i] | ✔ | |
| 48 | Linear OA(2248, 269, F2, 115) (dual of [269, 21, 116]-code) | [i] | ✔ | |
| 49 | Linear OA(2236, 265, F2, 97) (dual of [265, 29, 98]-code) | [i] | ✔ | |
| 50 | Linear OA(2250, 272, F2, 111) (dual of [272, 22, 112]-code) | [i] | ✔ | |
| 51 | Linear OA(2257, 280, F2, 111) (dual of [280, 23, 112]-code) | [i] | ✔ | |
| 52 | Linear OA(2260, 284, F2, 111) (dual of [284, 24, 112]-code) | [i] | ✔ | |
| 53 | Linear OA(2260, 287, F2, 110) (dual of [287, 27, 111]-code) | [i] | ✔ | |
| 54 | Linear OA(2254, 277, F2, 109) (dual of [277, 23, 110]-code) | [i] | ✔ | |
| 55 | Linear OA(2257, 281, F2, 109) (dual of [281, 24, 110]-code) | [i] | ✔ | |
| 56 | Linear OA(2258, 284, F2, 109) (dual of [284, 26, 110]-code) | [i] | ✔ | |
| 57 | Linear OA(2251, 274, F2, 107) (dual of [274, 23, 108]-code) | [i] | ✔ | |
| 58 | Linear OA(2253, 277, F2, 107) (dual of [277, 24, 108]-code) | [i] | ✔ | |
| 59 | Linear OA(2254, 280, F2, 107) (dual of [280, 26, 108]-code) | [i] | ✔ | |
| 60 | Linear OA(2255, 283, F2, 107) (dual of [283, 28, 108]-code) | [i] | ✔ | |
| 61 | Linear OA(2256, 285, F2, 107) (dual of [285, 29, 108]-code) | [i] | ✔ | |
| 62 | Linear OA(2248, 271, F2, 105) (dual of [271, 23, 106]-code) | [i] | ✔ | |
| 63 | Linear OA(2250, 274, F2, 105) (dual of [274, 24, 106]-code) | [i] | ✔ | |
| 64 | Linear OA(2251, 277, F2, 105) (dual of [277, 26, 106]-code) | [i] | ✔ | |
| 65 | Linear OA(2252, 279, F2, 105) (dual of [279, 27, 106]-code) | [i] | ✔ | |
| 66 | Linear OA(2246, 272, F2, 103) (dual of [272, 26, 104]-code) | [i] | ✔ | |
| 67 | Linear OA(2247, 276, F2, 103) (dual of [276, 29, 104]-code) | [i] | ✔ | |
| 68 | Linear OA(2243, 268, F2, 101) (dual of [268, 25, 102]-code) | [i] | ✔ | |
| 69 | Linear OA(2244, 273, F2, 101) (dual of [273, 29, 102]-code) | [i] | ✔ | |
| 70 | Linear OA(2240, 269, F2, 99) (dual of [269, 29, 100]-code) | [i] | ✔ | |
| 71 | Linear OA(2259, 296, F2, 103) (dual of [296, 37, 104]-code) | [i] | ✔ | |
| 72 | Linear OA(2255, 288, F2, 101) (dual of [288, 33, 102]-code) | [i] | ✔ | |
| 73 | Linear OA(2256, 293, F2, 101) (dual of [293, 37, 102]-code) | [i] | ✔ | |
| 74 | Linear OA(2247, 280, F2, 99) (dual of [280, 33, 100]-code) | [i] | ✔ | |
| 75 | Linear OA(2250, 284, F2, 99) (dual of [284, 34, 100]-code) | [i] | ✔ | |
| 76 | Linear OA(2251, 288, F2, 99) (dual of [288, 37, 100]-code) | [i] | ✔ | |
| 77 | Linear OA(2244, 274, F2, 97) (dual of [274, 30, 98]-code) | [i] | ✔ | |
| 78 | Linear OA(2246, 283, F2, 97) (dual of [283, 37, 98]-code) | [i] | ✔ | |
| 79 | Linear OA(2259, 304, F2, 99) (dual of [304, 45, 100]-code) | [i] | ✔ | |
| 80 | Linear OA(2256, 298, F2, 97) (dual of [298, 42, 98]-code) | [i] | ✔ | |
| 81 | Linear OA(2255, 289, F2, 101) (dual of [289, 34, 102]-code) | [i] | ✔ | |
| 82 | Linear OA(2260, 288, F2, 108) (dual of [288, 28, 109]-code) | [i] | ✔ | |
| 83 | Linear OA(2258, 292, F2, 103) (dual of [292, 34, 104]-code) | [i] | ✔ | |
| 84 | Linear OA(2260, 289, F2, 109) (dual of [289, 29, 110]-code) | [i] | ✔ | |
| 85 | Linear OA(2252, 280, F2, 105) (dual of [280, 28, 106]-code) | [i] | ✔ | |
| 86 | Linear OA(2253, 282, F2, 105) (dual of [282, 29, 106]-code) | [i] | ✔ | |
| 87 | Linear OA(2258, 293, F2, 103) (dual of [293, 35, 104]-code) | [i] | ✔ | |
| 88 | Linear OA(2254, 288, F2, 101) (dual of [288, 34, 102]-code) | [i] | ✔ | |
| 89 | Linear OA(2255, 292, F2, 101) (dual of [292, 37, 102]-code) | [i] | ✔ | |
| 90 | Linear OA(2260, 275, F2, 121) (dual of [275, 15, 122]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 91 | Linear OA(2260, 274, F2, 123) (dual of [274, 14, 124]-code) | [i] | ✔ | |
| 92 | Linear OA(2256, 270, F2, 121) (dual of [270, 14, 122]-code) | [i] | ✔ | |
| 93 | Linear OA(2260, 282, F2, 113) (dual of [282, 22, 114]-code) | [i] | ✔ | |
| 94 | Linear OA(2255, 288, F2, 103) (dual of [288, 33, 104]-code) | [i] | ✔ | |
| 95 | Linear OA(2252, 285, F2, 101) (dual of [285, 33, 102]-code) | [i] | ✔ | |
| 96 | Linear OA(2244, 277, F2, 97) (dual of [277, 33, 98]-code) | [i] | ✔ | |
| 97 | Linear OA(2260, 292, F2, 105) (dual of [292, 32, 106]-code) | [i] | ✔ | |
| 98 | Linear OA(2254, 286, F2, 103) (dual of [286, 32, 104]-code) | [i] | ✔ | |
| 99 | Linear OA(2251, 283, F2, 101) (dual of [283, 32, 102]-code) | [i] | ✔ | |
| 100 | Linear OA(2243, 275, F2, 97) (dual of [275, 32, 98]-code) | [i] | ✔ | |
| 101 | Linear OA(2259, 290, F2, 105) (dual of [290, 31, 106]-code) | [i] | ✔ | |
| 102 | Linear OA(2253, 284, F2, 103) (dual of [284, 31, 104]-code) | [i] | ✔ | |
| 103 | Linear OA(2250, 281, F2, 101) (dual of [281, 31, 102]-code) | [i] | ✔ | |
| 104 | Linear OA(2246, 277, F2, 99) (dual of [277, 31, 100]-code) | [i] | ✔ | |
| 105 | Linear OA(2242, 273, F2, 97) (dual of [273, 31, 98]-code) | [i] | ✔ | |
| 106 | Linear OA(2260, 290, F2, 107) (dual of [290, 30, 108]-code) | [i] | ✔ | |
| 107 | Linear OA(2251, 281, F2, 103) (dual of [281, 30, 104]-code) | [i] | ✔ | |
| 108 | Linear OA(2248, 278, F2, 101) (dual of [278, 30, 102]-code) | [i] | ✔ | |
| 109 | Linear OA(2244, 274, F2, 99) (dual of [274, 30, 100]-code) | [i] | ✔ | |
| 110 | Linear OA(2240, 270, F2, 97) (dual of [270, 30, 98]-code) | [i] | ✔ | |
| 111 | Linear OA(2254, 295, F2, 97) (dual of [295, 41, 98]-code) | [i] | ✔ | |
| 112 | Linear OA(2253, 293, F2, 97) (dual of [293, 40, 98]-code) | [i] | ✔ | |
| 113 | Linear OA(2252, 291, F2, 97) (dual of [291, 39, 98]-code) | [i] | ✔ | |
| 114 | Linear OA(2260, 298, F2, 101) (dual of [298, 38, 102]-code) | [i] | ✔ | |
| 115 | Linear OA(2250, 288, F2, 97) (dual of [288, 38, 98]-code) | [i] | ✔ | |
| 116 | Linear OOA(2235, 128, F2, 2, 111) (dual of [(128, 2), 21, 112]-NRT-code) | [i] | OOA Folding | |