Information on Result #611047
Linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2138, large, F2, 11) (dual of [large, large−138, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2138, large, F2, 10) (dual of [large, large−138, 11]-code) | [i] | ||
| 3 | Linear OA(2138, large, F2, 9) (dual of [large, large−138, 10]-code) | [i] | ||
| 4 | Linear OA(2138, large, F2, 8) (dual of [large, large−138, 9]-code) | [i] | ||
| 5 | Linear OA(2138, large, F2, 7) (dual of [large, large−138, 8]-code) | [i] | ||
| 6 | Linear OA(2138, large, F2, 6) (dual of [large, large−138, 7]-code) | [i] | ||
| 7 | Linear OA(2138, large, F2, 5) (dual of [large, large−138, 6]-code) | [i] | ||
| 8 | Linear OA(2138, large, F2, 4) (dual of [large, large−138, 5]-code) | [i] | ||
| 9 | Linear OA(2140, large, F2, 12) (dual of [large, large−140, 13]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(2141, large, F2, 12) (dual of [large, large−141, 13]-code) | [i] | ||
| 11 | Linear OA(2142, large, F2, 12) (dual of [large, large−142, 13]-code) | [i] | ||
| 12 | Linear OA(2143, large, F2, 12) (dual of [large, large−143, 13]-code) | [i] | ||
| 13 | Linear OA(2144, large, F2, 12) (dual of [large, large−144, 13]-code) | [i] | ||
| 14 | Linear OA(2145, large, F2, 12) (dual of [large, large−145, 13]-code) | [i] | ||
| 15 | Linear OA(2146, large, F2, 12) (dual of [large, large−146, 13]-code) | [i] | ||
| 16 | Linear OA(2147, large, F2, 12) (dual of [large, large−147, 13]-code) | [i] | ||
| 17 | Linear OA(2148, large, F2, 12) (dual of [large, large−148, 13]-code) | [i] | ||
| 18 | Linear OA(2149, large, F2, 12) (dual of [large, large−149, 13]-code) | [i] | ||
| 19 | Linear OA(2150, large, F2, 12) (dual of [large, large−150, 13]-code) | [i] | ||
| 20 | Linear OA(2151, large, F2, 12) (dual of [large, large−151, 13]-code) | [i] | ||
| 21 | Linear OA(2152, large, F2, 12) (dual of [large, large−152, 13]-code) | [i] | ||
| 22 | Linear OA(2153, large, F2, 12) (dual of [large, large−153, 13]-code) | [i] | ||
| 23 | Linear OA(2154, large, F2, 12) (dual of [large, large−154, 13]-code) | [i] | ||
| 24 | Linear OA(2155, large, F2, 12) (dual of [large, large−155, 13]-code) | [i] | ||
| 25 | Linear OA(2156, large, F2, 12) (dual of [large, large−156, 13]-code) | [i] | ||
| 26 | Linear OA(2157, large, F2, 12) (dual of [large, large−157, 13]-code) | [i] | ||
| 27 | Linear OA(2158, large, F2, 12) (dual of [large, large−158, 13]-code) | [i] | ||
| 28 | Linear OA(2159, large, F2, 12) (dual of [large, large−159, 13]-code) | [i] | ||
| 29 | Linear OA(2160, large, F2, 12) (dual of [large, large−160, 13]-code) | [i] | ||
| 30 | Linear OA(2163, large, F2, 12) (dual of [large, large−163, 13]-code) | [i] | ||
| 31 | Linear OA(2164, large, F2, 12) (dual of [large, large−164, 13]-code) | [i] | ||
| 32 | Linear OA(2165, large, F2, 12) (dual of [large, large−165, 13]-code) | [i] | ||
| 33 | Linear OA(2166, large, F2, 12) (dual of [large, large−166, 13]-code) | [i] | ||
| 34 | Linear OA(2167, large, F2, 12) (dual of [large, large−167, 13]-code) | [i] | ||
| 35 | Linear OA(2168, large, F2, 12) (dual of [large, large−168, 13]-code) | [i] | ||
| 36 | Linear OA(2169, large, F2, 12) (dual of [large, large−169, 13]-code) | [i] | ||
| 37 | Linear OA(2170, large, F2, 12) (dual of [large, large−170, 13]-code) | [i] | ||
| 38 | Linear OA(2171, large, F2, 12) (dual of [large, large−171, 13]-code) | [i] | ||
| 39 | Linear OA(2172, large, F2, 12) (dual of [large, large−172, 13]-code) | [i] | ||
| 40 | Linear OA(2173, large, F2, 12) (dual of [large, large−173, 13]-code) | [i] | ||
| 41 | Linear OA(2174, large, F2, 12) (dual of [large, large−174, 13]-code) | [i] | ||
| 42 | Linear OA(2175, large, F2, 12) (dual of [large, large−175, 13]-code) | [i] | ||
| 43 | Linear OA(2176, large, F2, 12) (dual of [large, large−176, 13]-code) | [i] | ||
| 44 | Linear OA(2177, large, F2, 12) (dual of [large, large−177, 13]-code) | [i] | ||
| 45 | Linear OA(2178, large, F2, 12) (dual of [large, large−178, 13]-code) | [i] | ||
| 46 | Linear OA(2179, large, F2, 12) (dual of [large, large−179, 13]-code) | [i] | ||
| 47 | Linear OA(2180, large, F2, 12) (dual of [large, large−180, 13]-code) | [i] | ||
| 48 | Linear OA(2181, large, F2, 12) (dual of [large, large−181, 13]-code) | [i] | ||
| 49 | Linear OA(2182, large, F2, 12) (dual of [large, large−182, 13]-code) | [i] | ||
| 50 | Linear OA(2183, large, F2, 12) (dual of [large, large−183, 13]-code) | [i] | ||
| 51 | Linear OA(2186, large, F2, 12) (dual of [large, large−186, 13]-code) | [i] | ||
| 52 | Linear OA(2187, large, F2, 12) (dual of [large, large−187, 13]-code) | [i] | ||
| 53 | Linear OA(2188, large, F2, 12) (dual of [large, large−188, 13]-code) | [i] | ||
| 54 | Linear OA(2189, large, F2, 12) (dual of [large, large−189, 13]-code) | [i] | ||
| 55 | Linear OA(2190, large, F2, 12) (dual of [large, large−190, 13]-code) | [i] | ||
| 56 | Linear OA(2191, large, F2, 12) (dual of [large, large−191, 13]-code) | [i] | ||
| 57 | Linear OA(2192, large, F2, 12) (dual of [large, large−192, 13]-code) | [i] | ||
| 58 | Linear OA(2193, large, F2, 12) (dual of [large, large−193, 13]-code) | [i] | ||
| 59 | Linear OA(2194, large, F2, 12) (dual of [large, large−194, 13]-code) | [i] | ||
| 60 | Linear OA(2195, large, F2, 12) (dual of [large, large−195, 13]-code) | [i] | ||
| 61 | Linear OA(2196, large, F2, 12) (dual of [large, large−196, 13]-code) | [i] | ||
| 62 | Linear OA(2197, large, F2, 12) (dual of [large, large−197, 13]-code) | [i] | ||
| 63 | Linear OA(2198, large, F2, 12) (dual of [large, large−198, 13]-code) | [i] | ||
| 64 | Linear OA(2199, large, F2, 12) (dual of [large, large−199, 13]-code) | [i] | ||
| 65 | Linear OA(2200, large, F2, 12) (dual of [large, large−200, 13]-code) | [i] | ||
| 66 | Linear OA(2201, large, F2, 12) (dual of [large, large−201, 13]-code) | [i] | ||
| 67 | Linear OA(2202, large, F2, 12) (dual of [large, large−202, 13]-code) | [i] | ||
| 68 | Linear OA(2203, large, F2, 12) (dual of [large, large−203, 13]-code) | [i] | ||
| 69 | Linear OA(2204, large, F2, 12) (dual of [large, large−204, 13]-code) | [i] | ||
| 70 | Linear OA(2205, large, F2, 12) (dual of [large, large−205, 13]-code) | [i] | ||
| 71 | Linear OA(2206, large, F2, 12) (dual of [large, large−206, 13]-code) | [i] | ||
| 72 | Linear OA(2209, large, F2, 12) (dual of [large, large−209, 13]-code) | [i] | ||
| 73 | Linear OA(2210, large, F2, 12) (dual of [large, large−210, 13]-code) | [i] | ||
| 74 | Linear OA(2211, large, F2, 12) (dual of [large, large−211, 13]-code) | [i] | ||
| 75 | Linear OA(2212, large, F2, 12) (dual of [large, large−212, 13]-code) | [i] | ||
| 76 | Linear OA(2213, large, F2, 12) (dual of [large, large−213, 13]-code) | [i] | ||
| 77 | Linear OA(2214, large, F2, 12) (dual of [large, large−214, 13]-code) | [i] | ||
| 78 | Linear OA(2215, large, F2, 12) (dual of [large, large−215, 13]-code) | [i] | ||
| 79 | Linear OA(2216, large, F2, 12) (dual of [large, large−216, 13]-code) | [i] | ||
| 80 | Linear OA(2217, large, F2, 12) (dual of [large, large−217, 13]-code) | [i] | ||
| 81 | Linear OA(2218, large, F2, 12) (dual of [large, large−218, 13]-code) | [i] | ||
| 82 | Linear OA(2219, large, F2, 12) (dual of [large, large−219, 13]-code) | [i] | ||
| 83 | Linear OA(2220, large, F2, 12) (dual of [large, large−220, 13]-code) | [i] | ||
| 84 | Linear OA(2221, large, F2, 12) (dual of [large, large−221, 13]-code) | [i] | ||
| 85 | Linear OA(2222, large, F2, 12) (dual of [large, large−222, 13]-code) | [i] | ||
| 86 | Linear OA(2223, large, F2, 12) (dual of [large, large−223, 13]-code) | [i] | ||
| 87 | Linear OA(2224, large, F2, 12) (dual of [large, large−224, 13]-code) | [i] | ||
| 88 | Linear OA(2225, large, F2, 12) (dual of [large, large−225, 13]-code) | [i] | ||
| 89 | Linear OA(2226, large, F2, 12) (dual of [large, large−226, 13]-code) | [i] | ||
| 90 | Linear OA(2227, large, F2, 12) (dual of [large, large−227, 13]-code) | [i] | ||
| 91 | Linear OA(2228, large, F2, 12) (dual of [large, large−228, 13]-code) | [i] | ||
| 92 | Linear OA(2229, large, F2, 12) (dual of [large, large−229, 13]-code) | [i] | ||
| 93 | Linear OA(2232, large, F2, 12) (dual of [large, large−232, 13]-code) | [i] | ||
| 94 | Linear OA(2233, large, F2, 12) (dual of [large, large−233, 13]-code) | [i] | ||
| 95 | Linear OA(2234, large, F2, 12) (dual of [large, large−234, 13]-code) | [i] | ||
| 96 | Linear OA(2235, large, F2, 12) (dual of [large, large−235, 13]-code) | [i] | ||
| 97 | Linear OA(2236, large, F2, 12) (dual of [large, large−236, 13]-code) | [i] | ||
| 98 | Linear OA(2237, large, F2, 12) (dual of [large, large−237, 13]-code) | [i] | ||
| 99 | Linear OA(2238, large, F2, 12) (dual of [large, large−238, 13]-code) | [i] | ||
| 100 | Linear OA(2239, large, F2, 12) (dual of [large, large−239, 13]-code) | [i] | ||
| 101 | Linear OA(2240, large, F2, 12) (dual of [large, large−240, 13]-code) | [i] | ||
| 102 | Linear OA(2241, large, F2, 12) (dual of [large, large−241, 13]-code) | [i] | ||
| 103 | Linear OA(2242, large, F2, 12) (dual of [large, large−242, 13]-code) | [i] | ||
| 104 | Linear OA(2243, large, F2, 12) (dual of [large, large−243, 13]-code) | [i] | ||
| 105 | Linear OA(2244, large, F2, 12) (dual of [large, large−244, 13]-code) | [i] | ||
| 106 | Linear OA(2245, large, F2, 12) (dual of [large, large−245, 13]-code) | [i] | ||
| 107 | Linear OA(2246, large, F2, 12) (dual of [large, large−246, 13]-code) | [i] | ||
| 108 | Linear OA(2247, large, F2, 12) (dual of [large, large−247, 13]-code) | [i] | ||
| 109 | Linear OA(2248, large, F2, 12) (dual of [large, large−248, 13]-code) | [i] | ||
| 110 | Linear OA(2249, large, F2, 12) (dual of [large, large−249, 13]-code) | [i] | ||
| 111 | Linear OA(2250, large, F2, 12) (dual of [large, large−250, 13]-code) | [i] | ||
| 112 | Linear OA(2251, large, F2, 12) (dual of [large, large−251, 13]-code) | [i] | ||
| 113 | Linear OA(2252, large, F2, 12) (dual of [large, large−252, 13]-code) | [i] | ||
| 114 | Linear OA(2255, large, F2, 12) (dual of [large, large−255, 13]-code) | [i] | ||
| 115 | Linear OA(2256, large, F2, 12) (dual of [large, large−256, 13]-code) | [i] | ||
| 116 | Linear OA(2257, large, F2, 12) (dual of [large, large−257, 13]-code) | [i] | ||
| 117 | Linear OA(2258, large, F2, 12) (dual of [large, large−258, 13]-code) | [i] | ||
| 118 | Linear OA(2259, large, F2, 12) (dual of [large, large−259, 13]-code) | [i] | ||
| 119 | Linear OA(2260, large, F2, 12) (dual of [large, large−260, 13]-code) | [i] | ||
| 120 | Linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code) | [i] | OOA Folding | |
| 121 | Linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code) | [i] | ||
| 122 | Linear OOA(2138, 2097150, F2, 4, 12) (dual of [(2097150, 4), 8388462, 13]-NRT-code) | [i] | ||
| 123 | Linear OOA(2138, 1677720, F2, 5, 12) (dual of [(1677720, 5), 8388462, 13]-NRT-code) | [i] | ||
| 124 | Linear OOA(2138, 1398100, F2, 6, 12) (dual of [(1398100, 6), 8388462, 13]-NRT-code) | [i] | ||
| 125 | Linear OOA(2138, 1398100, F2, 7, 12) (dual of [(1398100, 7), 9786562, 13]-NRT-code) | [i] | OA Folding and Stacking | |
| 126 | Linear OOA(2138, 1398100, F2, 8, 12) (dual of [(1398100, 8), 11184662, 13]-NRT-code) | [i] | ||
| 127 | Linear OOA(2138, 1398100, F2, 12, 12) (dual of [(1398100, 12), 16777062, 13]-NRT-code) | [i] | ||