Information on Result #610915
Linear OA(270, large, F2, 7) (dual of [large, large−70, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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(270, large, F2, 6) (dual of [large, large−70, 7]-code) | [i] | Strength Reduction | |
2 | Linear OA(270, large, F2, 5) (dual of [large, large−70, 6]-code) | [i] | ||
3 | Linear OA(270, large, F2, 4) (dual of [large, large−70, 5]-code) | [i] | ||
4 | Linear OA(271, large, F2, 7) (dual of [large, large−71, 8]-code) | [i] | Code Embedding in Larger Space | |
5 | Linear OA(272, large, F2, 7) (dual of [large, large−72, 8]-code) | [i] | ||
6 | Linear OA(273, large, F2, 7) (dual of [large, large−73, 8]-code) | [i] | ||
7 | Linear OA(274, large, F2, 7) (dual of [large, large−74, 8]-code) | [i] | ||
8 | Linear OA(275, large, F2, 7) (dual of [large, large−75, 8]-code) | [i] | ||
9 | Linear OA(276, large, F2, 7) (dual of [large, large−76, 8]-code) | [i] | ||
10 | Linear OA(277, large, F2, 7) (dual of [large, large−77, 8]-code) | [i] | ||
11 | Linear OA(278, large, F2, 7) (dual of [large, large−78, 8]-code) | [i] | ||
12 | Linear OA(279, large, F2, 7) (dual of [large, large−79, 8]-code) | [i] | ||
13 | Linear OA(280, large, F2, 7) (dual of [large, large−80, 8]-code) | [i] | ||
14 | Linear OA(281, large, F2, 7) (dual of [large, large−81, 8]-code) | [i] | ||
15 | Linear OA(282, large, F2, 7) (dual of [large, large−82, 8]-code) | [i] | ||
16 | Linear OA(283, large, F2, 7) (dual of [large, large−83, 8]-code) | [i] | ||
17 | Linear OA(284, large, F2, 7) (dual of [large, large−84, 8]-code) | [i] | ||
18 | Linear OA(285, large, F2, 7) (dual of [large, large−85, 8]-code) | [i] | ||
19 | Linear OA(286, large, F2, 7) (dual of [large, large−86, 8]-code) | [i] | ||
20 | Linear OA(287, large, F2, 7) (dual of [large, large−87, 8]-code) | [i] | ||
21 | Linear OA(288, large, F2, 7) (dual of [large, large−88, 8]-code) | [i] | ||
22 | Linear OA(289, large, F2, 7) (dual of [large, large−89, 8]-code) | [i] | ||
23 | Linear OA(290, large, F2, 7) (dual of [large, large−90, 8]-code) | [i] | ||
24 | Linear OA(291, large, F2, 7) (dual of [large, large−91, 8]-code) | [i] | ||
25 | Linear OA(294, large, F2, 7) (dual of [large, large−94, 8]-code) | [i] | ||
26 | Linear OA(295, large, F2, 7) (dual of [large, large−95, 8]-code) | [i] | ||
27 | Linear OA(296, large, F2, 7) (dual of [large, large−96, 8]-code) | [i] | ||
28 | Linear OA(297, large, F2, 7) (dual of [large, large−97, 8]-code) | [i] | ||
29 | Linear OA(298, large, F2, 7) (dual of [large, large−98, 8]-code) | [i] | ||
30 | Linear OA(299, large, F2, 7) (dual of [large, large−99, 8]-code) | [i] | ||
31 | Linear OA(2100, large, F2, 7) (dual of [large, large−100, 8]-code) | [i] | ||
32 | Linear OA(2101, large, F2, 7) (dual of [large, large−101, 8]-code) | [i] | ||
33 | Linear OA(2102, large, F2, 7) (dual of [large, large−102, 8]-code) | [i] | ||
34 | Linear OA(2103, large, F2, 7) (dual of [large, large−103, 8]-code) | [i] | ||
35 | Linear OA(2104, large, F2, 7) (dual of [large, large−104, 8]-code) | [i] | ||
36 | Linear OA(2105, large, F2, 7) (dual of [large, large−105, 8]-code) | [i] | ||
37 | Linear OA(2106, large, F2, 7) (dual of [large, large−106, 8]-code) | [i] | ||
38 | Linear OA(2107, large, F2, 7) (dual of [large, large−107, 8]-code) | [i] | ||
39 | Linear OA(2108, large, F2, 7) (dual of [large, large−108, 8]-code) | [i] | ||
40 | Linear OA(2109, large, F2, 7) (dual of [large, large−109, 8]-code) | [i] | ||
41 | Linear OA(2110, large, F2, 7) (dual of [large, large−110, 8]-code) | [i] | ||
42 | Linear OA(2111, large, F2, 7) (dual of [large, large−111, 8]-code) | [i] | ||
43 | Linear OA(2112, large, F2, 7) (dual of [large, large−112, 8]-code) | [i] | ||
44 | Linear OA(2113, large, F2, 7) (dual of [large, large−113, 8]-code) | [i] | ||
45 | Linear OA(2114, large, F2, 7) (dual of [large, large−114, 8]-code) | [i] | ||
46 | Linear OA(2117, large, F2, 7) (dual of [large, large−117, 8]-code) | [i] | ||
47 | Linear OA(2118, large, F2, 7) (dual of [large, large−118, 8]-code) | [i] | ||
48 | Linear OA(2119, large, F2, 7) (dual of [large, large−119, 8]-code) | [i] | ||
49 | Linear OA(2120, large, F2, 7) (dual of [large, large−120, 8]-code) | [i] | ||
50 | Linear OA(2121, large, F2, 7) (dual of [large, large−121, 8]-code) | [i] | ||
51 | Linear OA(2122, large, F2, 7) (dual of [large, large−122, 8]-code) | [i] | ||
52 | Linear OA(2123, large, F2, 7) (dual of [large, large−123, 8]-code) | [i] | ||
53 | Linear OA(2124, large, F2, 7) (dual of [large, large−124, 8]-code) | [i] | ||
54 | Linear OA(2125, large, F2, 7) (dual of [large, large−125, 8]-code) | [i] | ||
55 | Linear OA(2126, large, F2, 7) (dual of [large, large−126, 8]-code) | [i] | ||
56 | Linear OA(2127, large, F2, 7) (dual of [large, large−127, 8]-code) | [i] | ||
57 | Linear OA(2128, large, F2, 7) (dual of [large, large−128, 8]-code) | [i] | ||
58 | Linear OA(2129, large, F2, 7) (dual of [large, large−129, 8]-code) | [i] | ||
59 | Linear OA(2130, large, F2, 7) (dual of [large, large−130, 8]-code) | [i] | ||
60 | Linear OA(2131, large, F2, 7) (dual of [large, large−131, 8]-code) | [i] | ||
61 | Linear OA(2132, large, F2, 7) (dual of [large, large−132, 8]-code) | [i] | ||
62 | Linear OA(2133, large, F2, 7) (dual of [large, large−133, 8]-code) | [i] | ||
63 | Linear OA(2134, large, F2, 7) (dual of [large, large−134, 8]-code) | [i] | ||
64 | Linear OA(2135, large, F2, 7) (dual of [large, large−135, 8]-code) | [i] | ||
65 | Linear OA(2136, large, F2, 7) (dual of [large, large−136, 8]-code) | [i] | ||
66 | Linear OA(2137, large, F2, 7) (dual of [large, large−137, 8]-code) | [i] | ||
67 | Linear OA(2140, large, F2, 7) (dual of [large, large−140, 8]-code) | [i] | ||
68 | Linear OA(2141, large, F2, 7) (dual of [large, large−141, 8]-code) | [i] | ||
69 | Linear OA(2142, large, F2, 7) (dual of [large, large−142, 8]-code) | [i] | ||
70 | Linear OA(2143, large, F2, 7) (dual of [large, large−143, 8]-code) | [i] | ||
71 | Linear OA(2144, large, F2, 7) (dual of [large, large−144, 8]-code) | [i] | ||
72 | Linear OA(2145, large, F2, 7) (dual of [large, large−145, 8]-code) | [i] | ||
73 | Linear OA(2146, large, F2, 7) (dual of [large, large−146, 8]-code) | [i] | ||
74 | Linear OA(2147, large, F2, 7) (dual of [large, large−147, 8]-code) | [i] | ||
75 | Linear OA(2148, large, F2, 7) (dual of [large, large−148, 8]-code) | [i] | ||
76 | Linear OA(2149, large, F2, 7) (dual of [large, large−149, 8]-code) | [i] | ||
77 | Linear OA(2150, large, F2, 7) (dual of [large, large−150, 8]-code) | [i] | ||
78 | Linear OA(2151, large, F2, 7) (dual of [large, large−151, 8]-code) | [i] | ||
79 | Linear OA(2152, large, F2, 7) (dual of [large, large−152, 8]-code) | [i] | ||
80 | Linear OA(2153, large, F2, 7) (dual of [large, large−153, 8]-code) | [i] | ||
81 | Linear OA(2154, large, F2, 7) (dual of [large, large−154, 8]-code) | [i] | ||
82 | Linear OA(2155, large, F2, 7) (dual of [large, large−155, 8]-code) | [i] | ||
83 | Linear OA(2156, large, F2, 7) (dual of [large, large−156, 8]-code) | [i] | ||
84 | Linear OA(2157, large, F2, 7) (dual of [large, large−157, 8]-code) | [i] | ||
85 | Linear OA(2158, large, F2, 7) (dual of [large, large−158, 8]-code) | [i] | ||
86 | Linear OA(2159, large, F2, 7) (dual of [large, large−159, 8]-code) | [i] | ||
87 | Linear OA(2160, large, F2, 7) (dual of [large, large−160, 8]-code) | [i] | ||
88 | Linear OA(2163, large, F2, 7) (dual of [large, large−163, 8]-code) | [i] | ||
89 | Linear OA(2164, large, F2, 7) (dual of [large, large−164, 8]-code) | [i] | ||
90 | Linear OA(2165, large, F2, 7) (dual of [large, large−165, 8]-code) | [i] | ||
91 | Linear OA(2166, large, F2, 7) (dual of [large, large−166, 8]-code) | [i] | ||
92 | Linear OA(2167, large, F2, 7) (dual of [large, large−167, 8]-code) | [i] | ||
93 | Linear OA(2168, large, F2, 7) (dual of [large, large−168, 8]-code) | [i] | ||
94 | Linear OA(2169, large, F2, 7) (dual of [large, large−169, 8]-code) | [i] | ||
95 | Linear OA(2170, large, F2, 7) (dual of [large, large−170, 8]-code) | [i] | ||
96 | Linear OA(2171, large, F2, 7) (dual of [large, large−171, 8]-code) | [i] | ||
97 | Linear OA(2172, large, F2, 7) (dual of [large, large−172, 8]-code) | [i] | ||
98 | Linear OA(2173, large, F2, 7) (dual of [large, large−173, 8]-code) | [i] | ||
99 | Linear OA(2174, large, F2, 7) (dual of [large, large−174, 8]-code) | [i] | ||
100 | Linear OA(2175, large, F2, 7) (dual of [large, large−175, 8]-code) | [i] | ||
101 | Linear OA(2176, large, F2, 7) (dual of [large, large−176, 8]-code) | [i] | ||
102 | Linear OA(2177, large, F2, 7) (dual of [large, large−177, 8]-code) | [i] | ||
103 | Linear OA(2178, large, F2, 7) (dual of [large, large−178, 8]-code) | [i] | ||
104 | Linear OA(2179, large, F2, 7) (dual of [large, large−179, 8]-code) | [i] | ||
105 | Linear OA(2180, large, F2, 7) (dual of [large, large−180, 8]-code) | [i] | ||
106 | Linear OA(2181, large, F2, 7) (dual of [large, large−181, 8]-code) | [i] | ||
107 | Linear OA(2182, large, F2, 7) (dual of [large, large−182, 8]-code) | [i] | ||
108 | Linear OA(2183, large, F2, 7) (dual of [large, large−183, 8]-code) | [i] | ||
109 | Linear OA(2186, large, F2, 7) (dual of [large, large−186, 8]-code) | [i] | ||
110 | Linear OA(2187, large, F2, 7) (dual of [large, large−187, 8]-code) | [i] | ||
111 | Linear OA(2188, large, F2, 7) (dual of [large, large−188, 8]-code) | [i] | ||
112 | Linear OA(2189, large, F2, 7) (dual of [large, large−189, 8]-code) | [i] | ||
113 | Linear OA(2190, large, F2, 7) (dual of [large, large−190, 8]-code) | [i] | ||
114 | Linear OA(2191, large, F2, 7) (dual of [large, large−191, 8]-code) | [i] | ||
115 | Linear OA(2192, large, F2, 7) (dual of [large, large−192, 8]-code) | [i] | ||
116 | Linear OA(2193, large, F2, 7) (dual of [large, large−193, 8]-code) | [i] | ||
117 | Linear OA(2194, large, F2, 7) (dual of [large, large−194, 8]-code) | [i] | ||
118 | Linear OA(2195, large, F2, 7) (dual of [large, large−195, 8]-code) | [i] | ||
119 | Linear OA(2196, large, F2, 7) (dual of [large, large−196, 8]-code) | [i] | ||
120 | Linear OA(2197, large, F2, 7) (dual of [large, large−197, 8]-code) | [i] | ||
121 | Linear OA(2198, large, F2, 7) (dual of [large, large−198, 8]-code) | [i] | ||
122 | Linear OA(2199, large, F2, 7) (dual of [large, large−199, 8]-code) | [i] | ||
123 | Linear OA(2200, large, F2, 7) (dual of [large, large−200, 8]-code) | [i] | ||
124 | Linear OA(2201, large, F2, 7) (dual of [large, large−201, 8]-code) | [i] | ||
125 | Linear OA(2202, large, F2, 7) (dual of [large, large−202, 8]-code) | [i] | ||
126 | Linear OA(2203, large, F2, 7) (dual of [large, large−203, 8]-code) | [i] | ||
127 | Linear OA(2204, large, F2, 7) (dual of [large, large−204, 8]-code) | [i] | ||
128 | Linear OA(2205, large, F2, 7) (dual of [large, large−205, 8]-code) | [i] | ||
129 | Linear OA(2206, large, F2, 7) (dual of [large, large−206, 8]-code) | [i] | ||
130 | Linear OA(2209, large, F2, 7) (dual of [large, large−209, 8]-code) | [i] | ||
131 | Linear OA(2210, large, F2, 7) (dual of [large, large−210, 8]-code) | [i] | ||
132 | Linear OA(2211, large, F2, 7) (dual of [large, large−211, 8]-code) | [i] | ||
133 | Linear OA(2212, large, F2, 7) (dual of [large, large−212, 8]-code) | [i] | ||
134 | Linear OA(2213, large, F2, 7) (dual of [large, large−213, 8]-code) | [i] | ||
135 | Linear OA(2214, large, F2, 7) (dual of [large, large−214, 8]-code) | [i] | ||
136 | Linear OA(2215, large, F2, 7) (dual of [large, large−215, 8]-code) | [i] | ||
137 | Linear OA(2216, large, F2, 7) (dual of [large, large−216, 8]-code) | [i] | ||
138 | Linear OA(2217, large, F2, 7) (dual of [large, large−217, 8]-code) | [i] | ||
139 | Linear OA(2218, large, F2, 7) (dual of [large, large−218, 8]-code) | [i] | ||
140 | Linear OA(2219, large, F2, 7) (dual of [large, large−219, 8]-code) | [i] | ||
141 | Linear OA(2220, large, F2, 7) (dual of [large, large−220, 8]-code) | [i] | ||
142 | Linear OA(2221, large, F2, 7) (dual of [large, large−221, 8]-code) | [i] | ||
143 | Linear OA(2222, large, F2, 7) (dual of [large, large−222, 8]-code) | [i] | ||
144 | Linear OA(2223, large, F2, 7) (dual of [large, large−223, 8]-code) | [i] | ||
145 | Linear OA(2224, large, F2, 7) (dual of [large, large−224, 8]-code) | [i] | ||
146 | Linear OA(2225, large, F2, 7) (dual of [large, large−225, 8]-code) | [i] | ||
147 | Linear OA(2226, large, F2, 7) (dual of [large, large−226, 8]-code) | [i] | ||
148 | Linear OA(2227, large, F2, 7) (dual of [large, large−227, 8]-code) | [i] | ||
149 | Linear OA(2228, large, F2, 7) (dual of [large, large−228, 8]-code) | [i] | ||
150 | Linear OA(2229, large, F2, 7) (dual of [large, large−229, 8]-code) | [i] | ||
151 | Linear OA(2232, large, F2, 7) (dual of [large, large−232, 8]-code) | [i] | ||
152 | Linear OA(2233, large, F2, 7) (dual of [large, large−233, 8]-code) | [i] | ||
153 | Linear OA(2234, large, F2, 7) (dual of [large, large−234, 8]-code) | [i] | ||
154 | Linear OA(2235, large, F2, 7) (dual of [large, large−235, 8]-code) | [i] | ||
155 | Linear OA(2236, large, F2, 7) (dual of [large, large−236, 8]-code) | [i] | ||
156 | Linear OA(2237, large, F2, 7) (dual of [large, large−237, 8]-code) | [i] | ||
157 | Linear OA(2238, large, F2, 7) (dual of [large, large−238, 8]-code) | [i] | ||
158 | Linear OA(2239, large, F2, 7) (dual of [large, large−239, 8]-code) | [i] | ||
159 | Linear OA(2240, large, F2, 7) (dual of [large, large−240, 8]-code) | [i] | ||
160 | Linear OA(2241, large, F2, 7) (dual of [large, large−241, 8]-code) | [i] | ||
161 | Linear OA(2242, large, F2, 7) (dual of [large, large−242, 8]-code) | [i] | ||
162 | Linear OA(2243, large, F2, 7) (dual of [large, large−243, 8]-code) | [i] | ||
163 | Linear OA(2244, large, F2, 7) (dual of [large, large−244, 8]-code) | [i] | ||
164 | Linear OA(2245, large, F2, 7) (dual of [large, large−245, 8]-code) | [i] | ||
165 | Linear OA(2246, large, F2, 7) (dual of [large, large−246, 8]-code) | [i] | ||
166 | Linear OA(2247, large, F2, 7) (dual of [large, large−247, 8]-code) | [i] | ||
167 | Linear OA(2248, large, F2, 7) (dual of [large, large−248, 8]-code) | [i] | ||
168 | Linear OA(2249, large, F2, 7) (dual of [large, large−249, 8]-code) | [i] | ||
169 | Linear OA(2250, large, F2, 7) (dual of [large, large−250, 8]-code) | [i] | ||
170 | Linear OA(2251, large, F2, 7) (dual of [large, large−251, 8]-code) | [i] | ||
171 | Linear OA(2252, large, F2, 7) (dual of [large, large−252, 8]-code) | [i] | ||
172 | Linear OA(2255, large, F2, 7) (dual of [large, large−255, 8]-code) | [i] | ||
173 | Linear OA(2256, large, F2, 7) (dual of [large, large−256, 8]-code) | [i] | ||
174 | Linear OA(2257, large, F2, 7) (dual of [large, large−257, 8]-code) | [i] | ||
175 | Linear OA(2258, large, F2, 7) (dual of [large, large−258, 8]-code) | [i] | ||
176 | Linear OA(2259, large, F2, 7) (dual of [large, large−259, 8]-code) | [i] | ||
177 | Linear OA(2260, large, F2, 7) (dual of [large, large−260, 8]-code) | [i] | ||
178 | Linear OOA(270, 4194301, F2, 2, 7) (dual of [(4194301, 2), 8388532, 8]-NRT-code) | [i] | OOA Folding | |
179 | Linear OOA(270, 2796201, F2, 3, 7) (dual of [(2796201, 3), 8388533, 8]-NRT-code) | [i] |