Information on Result #610993
Linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(2115, large, F2, 9) (dual of [large, large−115, 10]-code) | [i] | Strength Reduction | |
2 | Linear OA(2115, large, F2, 8) (dual of [large, large−115, 9]-code) | [i] | ||
3 | Linear OA(2115, large, F2, 7) (dual of [large, large−115, 8]-code) | [i] | ||
4 | Linear OA(2115, large, F2, 6) (dual of [large, large−115, 7]-code) | [i] | ||
5 | Linear OA(2115, large, F2, 5) (dual of [large, large−115, 6]-code) | [i] | ||
6 | Linear OA(2115, large, F2, 4) (dual of [large, large−115, 5]-code) | [i] | ||
7 | Linear OA(2117, large, F2, 10) (dual of [large, large−117, 11]-code) | [i] | Code Embedding in Larger Space | |
8 | Linear OA(2118, large, F2, 10) (dual of [large, large−118, 11]-code) | [i] | ||
9 | Linear OA(2119, large, F2, 10) (dual of [large, large−119, 11]-code) | [i] | ||
10 | Linear OA(2120, large, F2, 10) (dual of [large, large−120, 11]-code) | [i] | ||
11 | Linear OA(2121, large, F2, 10) (dual of [large, large−121, 11]-code) | [i] | ||
12 | Linear OA(2122, large, F2, 10) (dual of [large, large−122, 11]-code) | [i] | ||
13 | Linear OA(2123, large, F2, 10) (dual of [large, large−123, 11]-code) | [i] | ||
14 | Linear OA(2124, large, F2, 10) (dual of [large, large−124, 11]-code) | [i] | ||
15 | Linear OA(2125, large, F2, 10) (dual of [large, large−125, 11]-code) | [i] | ||
16 | Linear OA(2126, large, F2, 10) (dual of [large, large−126, 11]-code) | [i] | ||
17 | Linear OA(2127, large, F2, 10) (dual of [large, large−127, 11]-code) | [i] | ||
18 | Linear OA(2128, large, F2, 10) (dual of [large, large−128, 11]-code) | [i] | ||
19 | Linear OA(2129, large, F2, 10) (dual of [large, large−129, 11]-code) | [i] | ||
20 | Linear OA(2130, large, F2, 10) (dual of [large, large−130, 11]-code) | [i] | ||
21 | Linear OA(2131, large, F2, 10) (dual of [large, large−131, 11]-code) | [i] | ||
22 | Linear OA(2132, large, F2, 10) (dual of [large, large−132, 11]-code) | [i] | ||
23 | Linear OA(2133, large, F2, 10) (dual of [large, large−133, 11]-code) | [i] | ||
24 | Linear OA(2134, large, F2, 10) (dual of [large, large−134, 11]-code) | [i] | ||
25 | Linear OA(2135, large, F2, 10) (dual of [large, large−135, 11]-code) | [i] | ||
26 | Linear OA(2136, large, F2, 10) (dual of [large, large−136, 11]-code) | [i] | ||
27 | Linear OA(2137, large, F2, 10) (dual of [large, large−137, 11]-code) | [i] | ||
28 | Linear OA(2140, large, F2, 10) (dual of [large, large−140, 11]-code) | [i] | ||
29 | Linear OA(2141, large, F2, 10) (dual of [large, large−141, 11]-code) | [i] | ||
30 | Linear OA(2142, large, F2, 10) (dual of [large, large−142, 11]-code) | [i] | ||
31 | Linear OA(2143, large, F2, 10) (dual of [large, large−143, 11]-code) | [i] | ||
32 | Linear OA(2144, large, F2, 10) (dual of [large, large−144, 11]-code) | [i] | ||
33 | Linear OA(2145, large, F2, 10) (dual of [large, large−145, 11]-code) | [i] | ||
34 | Linear OA(2146, large, F2, 10) (dual of [large, large−146, 11]-code) | [i] | ||
35 | Linear OA(2147, large, F2, 10) (dual of [large, large−147, 11]-code) | [i] | ||
36 | Linear OA(2148, large, F2, 10) (dual of [large, large−148, 11]-code) | [i] | ||
37 | Linear OA(2149, large, F2, 10) (dual of [large, large−149, 11]-code) | [i] | ||
38 | Linear OA(2150, large, F2, 10) (dual of [large, large−150, 11]-code) | [i] | ||
39 | Linear OA(2151, large, F2, 10) (dual of [large, large−151, 11]-code) | [i] | ||
40 | Linear OA(2152, large, F2, 10) (dual of [large, large−152, 11]-code) | [i] | ||
41 | Linear OA(2153, large, F2, 10) (dual of [large, large−153, 11]-code) | [i] | ||
42 | Linear OA(2154, large, F2, 10) (dual of [large, large−154, 11]-code) | [i] | ||
43 | Linear OA(2155, large, F2, 10) (dual of [large, large−155, 11]-code) | [i] | ||
44 | Linear OA(2156, large, F2, 10) (dual of [large, large−156, 11]-code) | [i] | ||
45 | Linear OA(2157, large, F2, 10) (dual of [large, large−157, 11]-code) | [i] | ||
46 | Linear OA(2158, large, F2, 10) (dual of [large, large−158, 11]-code) | [i] | ||
47 | Linear OA(2159, large, F2, 10) (dual of [large, large−159, 11]-code) | [i] | ||
48 | Linear OA(2160, large, F2, 10) (dual of [large, large−160, 11]-code) | [i] | ||
49 | Linear OA(2163, large, F2, 10) (dual of [large, large−163, 11]-code) | [i] | ||
50 | Linear OA(2164, large, F2, 10) (dual of [large, large−164, 11]-code) | [i] | ||
51 | Linear OA(2165, large, F2, 10) (dual of [large, large−165, 11]-code) | [i] | ||
52 | Linear OA(2166, large, F2, 10) (dual of [large, large−166, 11]-code) | [i] | ||
53 | Linear OA(2167, large, F2, 10) (dual of [large, large−167, 11]-code) | [i] | ||
54 | Linear OA(2168, large, F2, 10) (dual of [large, large−168, 11]-code) | [i] | ||
55 | Linear OA(2169, large, F2, 10) (dual of [large, large−169, 11]-code) | [i] | ||
56 | Linear OA(2170, large, F2, 10) (dual of [large, large−170, 11]-code) | [i] | ||
57 | Linear OA(2171, large, F2, 10) (dual of [large, large−171, 11]-code) | [i] | ||
58 | Linear OA(2172, large, F2, 10) (dual of [large, large−172, 11]-code) | [i] | ||
59 | Linear OA(2173, large, F2, 10) (dual of [large, large−173, 11]-code) | [i] | ||
60 | Linear OA(2174, large, F2, 10) (dual of [large, large−174, 11]-code) | [i] | ||
61 | Linear OA(2175, large, F2, 10) (dual of [large, large−175, 11]-code) | [i] | ||
62 | Linear OA(2176, large, F2, 10) (dual of [large, large−176, 11]-code) | [i] | ||
63 | Linear OA(2177, large, F2, 10) (dual of [large, large−177, 11]-code) | [i] | ||
64 | Linear OA(2178, large, F2, 10) (dual of [large, large−178, 11]-code) | [i] | ||
65 | Linear OA(2179, large, F2, 10) (dual of [large, large−179, 11]-code) | [i] | ||
66 | Linear OA(2180, large, F2, 10) (dual of [large, large−180, 11]-code) | [i] | ||
67 | Linear OA(2181, large, F2, 10) (dual of [large, large−181, 11]-code) | [i] | ||
68 | Linear OA(2182, large, F2, 10) (dual of [large, large−182, 11]-code) | [i] | ||
69 | Linear OA(2183, large, F2, 10) (dual of [large, large−183, 11]-code) | [i] | ||
70 | Linear OA(2186, large, F2, 10) (dual of [large, large−186, 11]-code) | [i] | ||
71 | Linear OA(2187, large, F2, 10) (dual of [large, large−187, 11]-code) | [i] | ||
72 | Linear OA(2188, large, F2, 10) (dual of [large, large−188, 11]-code) | [i] | ||
73 | Linear OA(2189, large, F2, 10) (dual of [large, large−189, 11]-code) | [i] | ||
74 | Linear OA(2190, large, F2, 10) (dual of [large, large−190, 11]-code) | [i] | ||
75 | Linear OA(2191, large, F2, 10) (dual of [large, large−191, 11]-code) | [i] | ||
76 | Linear OA(2192, large, F2, 10) (dual of [large, large−192, 11]-code) | [i] | ||
77 | Linear OA(2193, large, F2, 10) (dual of [large, large−193, 11]-code) | [i] | ||
78 | Linear OA(2194, large, F2, 10) (dual of [large, large−194, 11]-code) | [i] | ||
79 | Linear OA(2195, large, F2, 10) (dual of [large, large−195, 11]-code) | [i] | ||
80 | Linear OA(2196, large, F2, 10) (dual of [large, large−196, 11]-code) | [i] | ||
81 | Linear OA(2197, large, F2, 10) (dual of [large, large−197, 11]-code) | [i] | ||
82 | Linear OA(2198, large, F2, 10) (dual of [large, large−198, 11]-code) | [i] | ||
83 | Linear OA(2199, large, F2, 10) (dual of [large, large−199, 11]-code) | [i] | ||
84 | Linear OA(2200, large, F2, 10) (dual of [large, large−200, 11]-code) | [i] | ||
85 | Linear OA(2201, large, F2, 10) (dual of [large, large−201, 11]-code) | [i] | ||
86 | Linear OA(2202, large, F2, 10) (dual of [large, large−202, 11]-code) | [i] | ||
87 | Linear OA(2203, large, F2, 10) (dual of [large, large−203, 11]-code) | [i] | ||
88 | Linear OA(2204, large, F2, 10) (dual of [large, large−204, 11]-code) | [i] | ||
89 | Linear OA(2205, large, F2, 10) (dual of [large, large−205, 11]-code) | [i] | ||
90 | Linear OA(2206, large, F2, 10) (dual of [large, large−206, 11]-code) | [i] | ||
91 | Linear OA(2209, large, F2, 10) (dual of [large, large−209, 11]-code) | [i] | ||
92 | Linear OA(2210, large, F2, 10) (dual of [large, large−210, 11]-code) | [i] | ||
93 | Linear OA(2211, large, F2, 10) (dual of [large, large−211, 11]-code) | [i] | ||
94 | Linear OA(2212, large, F2, 10) (dual of [large, large−212, 11]-code) | [i] | ||
95 | Linear OA(2213, large, F2, 10) (dual of [large, large−213, 11]-code) | [i] | ||
96 | Linear OA(2214, large, F2, 10) (dual of [large, large−214, 11]-code) | [i] | ||
97 | Linear OA(2215, large, F2, 10) (dual of [large, large−215, 11]-code) | [i] | ||
98 | Linear OA(2216, large, F2, 10) (dual of [large, large−216, 11]-code) | [i] | ||
99 | Linear OA(2217, large, F2, 10) (dual of [large, large−217, 11]-code) | [i] | ||
100 | Linear OA(2218, large, F2, 10) (dual of [large, large−218, 11]-code) | [i] | ||
101 | Linear OA(2219, large, F2, 10) (dual of [large, large−219, 11]-code) | [i] | ||
102 | Linear OA(2220, large, F2, 10) (dual of [large, large−220, 11]-code) | [i] | ||
103 | Linear OA(2221, large, F2, 10) (dual of [large, large−221, 11]-code) | [i] | ||
104 | Linear OA(2222, large, F2, 10) (dual of [large, large−222, 11]-code) | [i] | ||
105 | Linear OA(2223, large, F2, 10) (dual of [large, large−223, 11]-code) | [i] | ||
106 | Linear OA(2224, large, F2, 10) (dual of [large, large−224, 11]-code) | [i] | ||
107 | Linear OA(2225, large, F2, 10) (dual of [large, large−225, 11]-code) | [i] | ||
108 | Linear OA(2226, large, F2, 10) (dual of [large, large−226, 11]-code) | [i] | ||
109 | Linear OA(2227, large, F2, 10) (dual of [large, large−227, 11]-code) | [i] | ||
110 | Linear OA(2228, large, F2, 10) (dual of [large, large−228, 11]-code) | [i] | ||
111 | Linear OA(2229, large, F2, 10) (dual of [large, large−229, 11]-code) | [i] | ||
112 | Linear OA(2232, large, F2, 10) (dual of [large, large−232, 11]-code) | [i] | ||
113 | Linear OA(2233, large, F2, 10) (dual of [large, large−233, 11]-code) | [i] | ||
114 | Linear OA(2234, large, F2, 10) (dual of [large, large−234, 11]-code) | [i] | ||
115 | Linear OA(2235, large, F2, 10) (dual of [large, large−235, 11]-code) | [i] | ||
116 | Linear OA(2236, large, F2, 10) (dual of [large, large−236, 11]-code) | [i] | ||
117 | Linear OA(2237, large, F2, 10) (dual of [large, large−237, 11]-code) | [i] | ||
118 | Linear OA(2238, large, F2, 10) (dual of [large, large−238, 11]-code) | [i] | ||
119 | Linear OA(2239, large, F2, 10) (dual of [large, large−239, 11]-code) | [i] | ||
120 | Linear OA(2240, large, F2, 10) (dual of [large, large−240, 11]-code) | [i] | ||
121 | Linear OA(2241, large, F2, 10) (dual of [large, large−241, 11]-code) | [i] | ||
122 | Linear OA(2242, large, F2, 10) (dual of [large, large−242, 11]-code) | [i] | ||
123 | Linear OA(2243, large, F2, 10) (dual of [large, large−243, 11]-code) | [i] | ||
124 | Linear OA(2244, large, F2, 10) (dual of [large, large−244, 11]-code) | [i] | ||
125 | Linear OA(2245, large, F2, 10) (dual of [large, large−245, 11]-code) | [i] | ||
126 | Linear OA(2246, large, F2, 10) (dual of [large, large−246, 11]-code) | [i] | ||
127 | Linear OA(2247, large, F2, 10) (dual of [large, large−247, 11]-code) | [i] | ||
128 | Linear OA(2248, large, F2, 10) (dual of [large, large−248, 11]-code) | [i] | ||
129 | Linear OA(2249, large, F2, 10) (dual of [large, large−249, 11]-code) | [i] | ||
130 | Linear OA(2250, large, F2, 10) (dual of [large, large−250, 11]-code) | [i] | ||
131 | Linear OA(2251, large, F2, 10) (dual of [large, large−251, 11]-code) | [i] | ||
132 | Linear OA(2252, large, F2, 10) (dual of [large, large−252, 11]-code) | [i] | ||
133 | Linear OA(2255, large, F2, 10) (dual of [large, large−255, 11]-code) | [i] | ||
134 | Linear OA(2256, large, F2, 10) (dual of [large, large−256, 11]-code) | [i] | ||
135 | Linear OA(2257, large, F2, 10) (dual of [large, large−257, 11]-code) | [i] | ||
136 | Linear OA(2258, large, F2, 10) (dual of [large, large−258, 11]-code) | [i] | ||
137 | Linear OA(2259, large, F2, 10) (dual of [large, large−259, 11]-code) | [i] | ||
138 | Linear OA(2260, large, F2, 10) (dual of [large, large−260, 11]-code) | [i] | ||
139 | Linear OOA(2115, 4194301, F2, 2, 10) (dual of [(4194301, 2), 8388487, 11]-NRT-code) | [i] | OOA Folding | |
140 | Linear OOA(2115, 2796201, F2, 3, 10) (dual of [(2796201, 3), 8388488, 11]-NRT-code) | [i] | ||
141 | Linear OOA(2115, 2097150, F2, 4, 10) (dual of [(2097150, 4), 8388485, 11]-NRT-code) | [i] | ||
142 | Linear OOA(2115, 1677720, F2, 5, 10) (dual of [(1677720, 5), 8388485, 11]-NRT-code) | [i] | ||
143 | Linear OOA(2115, 1677720, F2, 6, 10) (dual of [(1677720, 6), 10066205, 11]-NRT-code) | [i] | OA Folding and Stacking | |
144 | Linear OOA(2115, 1677720, F2, 7, 10) (dual of [(1677720, 7), 11743925, 11]-NRT-code) | [i] | ||
145 | Linear OOA(2115, 1677720, F2, 8, 10) (dual of [(1677720, 8), 13421645, 11]-NRT-code) | [i] | ||
146 | Linear OOA(2115, 1677720, F2, 10, 10) (dual of [(1677720, 10), 16777085, 11]-NRT-code) | [i] |