Information on Result #610972

Linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)

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:

ResultThis
result
only
Method
1Linear OA(293, large, F2, 8) (dual of [large, large−93, 9]-code) [i]Strength Reduction
2Linear OA(293, large, F2, 7) (dual of [large, large−93, 8]-code) [i]
3Linear OA(293, large, F2, 6) (dual of [large, large−93, 7]-code) [i]
4Linear OA(293, large, F2, 5) (dual of [large, large−93, 6]-code) [i]
5Linear OA(293, large, F2, 4) (dual of [large, large−93, 5]-code) [i]
6Linear OA(294, large, F2, 9) (dual of [large, large−94, 10]-code) [i]Code Embedding in Larger Space
7Linear OA(295, large, F2, 9) (dual of [large, large−95, 10]-code) [i]
8Linear OA(296, large, F2, 9) (dual of [large, large−96, 10]-code) [i]
9Linear OA(297, large, F2, 9) (dual of [large, large−97, 10]-code) [i]
10Linear OA(298, large, F2, 9) (dual of [large, large−98, 10]-code) [i]
11Linear OA(299, large, F2, 9) (dual of [large, large−99, 10]-code) [i]
12Linear OA(2100, large, F2, 9) (dual of [large, large−100, 10]-code) [i]
13Linear OA(2101, large, F2, 9) (dual of [large, large−101, 10]-code) [i]
14Linear OA(2102, large, F2, 9) (dual of [large, large−102, 10]-code) [i]
15Linear OA(2103, large, F2, 9) (dual of [large, large−103, 10]-code) [i]
16Linear OA(2104, large, F2, 9) (dual of [large, large−104, 10]-code) [i]
17Linear OA(2105, large, F2, 9) (dual of [large, large−105, 10]-code) [i]
18Linear OA(2106, large, F2, 9) (dual of [large, large−106, 10]-code) [i]
19Linear OA(2107, large, F2, 9) (dual of [large, large−107, 10]-code) [i]
20Linear OA(2108, large, F2, 9) (dual of [large, large−108, 10]-code) [i]
21Linear OA(2109, large, F2, 9) (dual of [large, large−109, 10]-code) [i]
22Linear OA(2110, large, F2, 9) (dual of [large, large−110, 10]-code) [i]
23Linear OA(2111, large, F2, 9) (dual of [large, large−111, 10]-code) [i]
24Linear OA(2112, large, F2, 9) (dual of [large, large−112, 10]-code) [i]
25Linear OA(2113, large, F2, 9) (dual of [large, large−113, 10]-code) [i]
26Linear OA(2114, large, F2, 9) (dual of [large, large−114, 10]-code) [i]
27Linear OA(2117, large, F2, 9) (dual of [large, large−117, 10]-code) [i]
28Linear OA(2118, large, F2, 9) (dual of [large, large−118, 10]-code) [i]
29Linear OA(2119, large, F2, 9) (dual of [large, large−119, 10]-code) [i]
30Linear OA(2120, large, F2, 9) (dual of [large, large−120, 10]-code) [i]
31Linear OA(2121, large, F2, 9) (dual of [large, large−121, 10]-code) [i]
32Linear OA(2122, large, F2, 9) (dual of [large, large−122, 10]-code) [i]
33Linear OA(2123, large, F2, 9) (dual of [large, large−123, 10]-code) [i]
34Linear OA(2124, large, F2, 9) (dual of [large, large−124, 10]-code) [i]
35Linear OA(2125, large, F2, 9) (dual of [large, large−125, 10]-code) [i]
36Linear OA(2126, large, F2, 9) (dual of [large, large−126, 10]-code) [i]
37Linear OA(2127, large, F2, 9) (dual of [large, large−127, 10]-code) [i]
38Linear OA(2128, large, F2, 9) (dual of [large, large−128, 10]-code) [i]
39Linear OA(2129, large, F2, 9) (dual of [large, large−129, 10]-code) [i]
40Linear OA(2130, large, F2, 9) (dual of [large, large−130, 10]-code) [i]
41Linear OA(2131, large, F2, 9) (dual of [large, large−131, 10]-code) [i]
42Linear OA(2132, large, F2, 9) (dual of [large, large−132, 10]-code) [i]
43Linear OA(2133, large, F2, 9) (dual of [large, large−133, 10]-code) [i]
44Linear OA(2134, large, F2, 9) (dual of [large, large−134, 10]-code) [i]
45Linear OA(2135, large, F2, 9) (dual of [large, large−135, 10]-code) [i]
46Linear OA(2136, large, F2, 9) (dual of [large, large−136, 10]-code) [i]
47Linear OA(2137, large, F2, 9) (dual of [large, large−137, 10]-code) [i]
48Linear OA(2140, large, F2, 9) (dual of [large, large−140, 10]-code) [i]
49Linear OA(2141, large, F2, 9) (dual of [large, large−141, 10]-code) [i]
50Linear OA(2142, large, F2, 9) (dual of [large, large−142, 10]-code) [i]
51Linear OA(2143, large, F2, 9) (dual of [large, large−143, 10]-code) [i]
52Linear OA(2144, large, F2, 9) (dual of [large, large−144, 10]-code) [i]
53Linear OA(2145, large, F2, 9) (dual of [large, large−145, 10]-code) [i]
54Linear OA(2146, large, F2, 9) (dual of [large, large−146, 10]-code) [i]
55Linear OA(2147, large, F2, 9) (dual of [large, large−147, 10]-code) [i]
56Linear OA(2148, large, F2, 9) (dual of [large, large−148, 10]-code) [i]
57Linear OA(2149, large, F2, 9) (dual of [large, large−149, 10]-code) [i]
58Linear OA(2150, large, F2, 9) (dual of [large, large−150, 10]-code) [i]
59Linear OA(2151, large, F2, 9) (dual of [large, large−151, 10]-code) [i]
60Linear OA(2152, large, F2, 9) (dual of [large, large−152, 10]-code) [i]
61Linear OA(2153, large, F2, 9) (dual of [large, large−153, 10]-code) [i]
62Linear OA(2154, large, F2, 9) (dual of [large, large−154, 10]-code) [i]
63Linear OA(2155, large, F2, 9) (dual of [large, large−155, 10]-code) [i]
64Linear OA(2156, large, F2, 9) (dual of [large, large−156, 10]-code) [i]
65Linear OA(2157, large, F2, 9) (dual of [large, large−157, 10]-code) [i]
66Linear OA(2158, large, F2, 9) (dual of [large, large−158, 10]-code) [i]
67Linear OA(2159, large, F2, 9) (dual of [large, large−159, 10]-code) [i]
68Linear OA(2160, large, F2, 9) (dual of [large, large−160, 10]-code) [i]
69Linear OA(2163, large, F2, 9) (dual of [large, large−163, 10]-code) [i]
70Linear OA(2164, large, F2, 9) (dual of [large, large−164, 10]-code) [i]
71Linear OA(2165, large, F2, 9) (dual of [large, large−165, 10]-code) [i]
72Linear OA(2166, large, F2, 9) (dual of [large, large−166, 10]-code) [i]
73Linear OA(2167, large, F2, 9) (dual of [large, large−167, 10]-code) [i]
74Linear OA(2168, large, F2, 9) (dual of [large, large−168, 10]-code) [i]
75Linear OA(2169, large, F2, 9) (dual of [large, large−169, 10]-code) [i]
76Linear OA(2170, large, F2, 9) (dual of [large, large−170, 10]-code) [i]
77Linear OA(2171, large, F2, 9) (dual of [large, large−171, 10]-code) [i]
78Linear OA(2172, large, F2, 9) (dual of [large, large−172, 10]-code) [i]
79Linear OA(2173, large, F2, 9) (dual of [large, large−173, 10]-code) [i]
80Linear OA(2174, large, F2, 9) (dual of [large, large−174, 10]-code) [i]
81Linear OA(2175, large, F2, 9) (dual of [large, large−175, 10]-code) [i]
82Linear OA(2176, large, F2, 9) (dual of [large, large−176, 10]-code) [i]
83Linear OA(2177, large, F2, 9) (dual of [large, large−177, 10]-code) [i]
84Linear OA(2178, large, F2, 9) (dual of [large, large−178, 10]-code) [i]
85Linear OA(2179, large, F2, 9) (dual of [large, large−179, 10]-code) [i]
86Linear OA(2180, large, F2, 9) (dual of [large, large−180, 10]-code) [i]
87Linear OA(2181, large, F2, 9) (dual of [large, large−181, 10]-code) [i]
88Linear OA(2182, large, F2, 9) (dual of [large, large−182, 10]-code) [i]
89Linear OA(2183, large, F2, 9) (dual of [large, large−183, 10]-code) [i]
90Linear OA(2186, large, F2, 9) (dual of [large, large−186, 10]-code) [i]
91Linear OA(2187, large, F2, 9) (dual of [large, large−187, 10]-code) [i]
92Linear OA(2188, large, F2, 9) (dual of [large, large−188, 10]-code) [i]
93Linear OA(2189, large, F2, 9) (dual of [large, large−189, 10]-code) [i]
94Linear OA(2190, large, F2, 9) (dual of [large, large−190, 10]-code) [i]
95Linear OA(2191, large, F2, 9) (dual of [large, large−191, 10]-code) [i]
96Linear OA(2192, large, F2, 9) (dual of [large, large−192, 10]-code) [i]
97Linear OA(2193, large, F2, 9) (dual of [large, large−193, 10]-code) [i]
98Linear OA(2194, large, F2, 9) (dual of [large, large−194, 10]-code) [i]
99Linear OA(2195, large, F2, 9) (dual of [large, large−195, 10]-code) [i]
100Linear OA(2196, large, F2, 9) (dual of [large, large−196, 10]-code) [i]
101Linear OA(2197, large, F2, 9) (dual of [large, large−197, 10]-code) [i]
102Linear OA(2198, large, F2, 9) (dual of [large, large−198, 10]-code) [i]
103Linear OA(2199, large, F2, 9) (dual of [large, large−199, 10]-code) [i]
104Linear OA(2200, large, F2, 9) (dual of [large, large−200, 10]-code) [i]
105Linear OA(2201, large, F2, 9) (dual of [large, large−201, 10]-code) [i]
106Linear OA(2202, large, F2, 9) (dual of [large, large−202, 10]-code) [i]
107Linear OA(2203, large, F2, 9) (dual of [large, large−203, 10]-code) [i]
108Linear OA(2204, large, F2, 9) (dual of [large, large−204, 10]-code) [i]
109Linear OA(2205, large, F2, 9) (dual of [large, large−205, 10]-code) [i]
110Linear OA(2206, large, F2, 9) (dual of [large, large−206, 10]-code) [i]
111Linear OA(2209, large, F2, 9) (dual of [large, large−209, 10]-code) [i]
112Linear OA(2210, large, F2, 9) (dual of [large, large−210, 10]-code) [i]
113Linear OA(2211, large, F2, 9) (dual of [large, large−211, 10]-code) [i]
114Linear OA(2212, large, F2, 9) (dual of [large, large−212, 10]-code) [i]
115Linear OA(2213, large, F2, 9) (dual of [large, large−213, 10]-code) [i]
116Linear OA(2214, large, F2, 9) (dual of [large, large−214, 10]-code) [i]
117Linear OA(2215, large, F2, 9) (dual of [large, large−215, 10]-code) [i]
118Linear OA(2216, large, F2, 9) (dual of [large, large−216, 10]-code) [i]
119Linear OA(2217, large, F2, 9) (dual of [large, large−217, 10]-code) [i]
120Linear OA(2218, large, F2, 9) (dual of [large, large−218, 10]-code) [i]
121Linear OA(2219, large, F2, 9) (dual of [large, large−219, 10]-code) [i]
122Linear OA(2220, large, F2, 9) (dual of [large, large−220, 10]-code) [i]
123Linear OA(2221, large, F2, 9) (dual of [large, large−221, 10]-code) [i]
124Linear OA(2222, large, F2, 9) (dual of [large, large−222, 10]-code) [i]
125Linear OA(2223, large, F2, 9) (dual of [large, large−223, 10]-code) [i]
126Linear OA(2224, large, F2, 9) (dual of [large, large−224, 10]-code) [i]
127Linear OA(2225, large, F2, 9) (dual of [large, large−225, 10]-code) [i]
128Linear OA(2226, large, F2, 9) (dual of [large, large−226, 10]-code) [i]
129Linear OA(2227, large, F2, 9) (dual of [large, large−227, 10]-code) [i]
130Linear OA(2228, large, F2, 9) (dual of [large, large−228, 10]-code) [i]
131Linear OA(2229, large, F2, 9) (dual of [large, large−229, 10]-code) [i]
132Linear OA(2232, large, F2, 9) (dual of [large, large−232, 10]-code) [i]
133Linear OA(2233, large, F2, 9) (dual of [large, large−233, 10]-code) [i]
134Linear OA(2234, large, F2, 9) (dual of [large, large−234, 10]-code) [i]
135Linear OA(2235, large, F2, 9) (dual of [large, large−235, 10]-code) [i]
136Linear OA(2236, large, F2, 9) (dual of [large, large−236, 10]-code) [i]
137Linear OA(2237, large, F2, 9) (dual of [large, large−237, 10]-code) [i]
138Linear OA(2238, large, F2, 9) (dual of [large, large−238, 10]-code) [i]
139Linear OA(2239, large, F2, 9) (dual of [large, large−239, 10]-code) [i]
140Linear OA(2240, large, F2, 9) (dual of [large, large−240, 10]-code) [i]
141Linear OA(2241, large, F2, 9) (dual of [large, large−241, 10]-code) [i]
142Linear OA(2242, large, F2, 9) (dual of [large, large−242, 10]-code) [i]
143Linear OA(2243, large, F2, 9) (dual of [large, large−243, 10]-code) [i]
144Linear OA(2244, large, F2, 9) (dual of [large, large−244, 10]-code) [i]
145Linear OA(2245, large, F2, 9) (dual of [large, large−245, 10]-code) [i]
146Linear OA(2246, large, F2, 9) (dual of [large, large−246, 10]-code) [i]
147Linear OA(2247, large, F2, 9) (dual of [large, large−247, 10]-code) [i]
148Linear OA(2248, large, F2, 9) (dual of [large, large−248, 10]-code) [i]
149Linear OA(2249, large, F2, 9) (dual of [large, large−249, 10]-code) [i]
150Linear OA(2250, large, F2, 9) (dual of [large, large−250, 10]-code) [i]
151Linear OA(2251, large, F2, 9) (dual of [large, large−251, 10]-code) [i]
152Linear OA(2252, large, F2, 9) (dual of [large, large−252, 10]-code) [i]
153Linear OA(2255, large, F2, 9) (dual of [large, large−255, 10]-code) [i]
154Linear OA(2256, large, F2, 9) (dual of [large, large−256, 10]-code) [i]
155Linear OA(2257, large, F2, 9) (dual of [large, large−257, 10]-code) [i]
156Linear OA(2258, large, F2, 9) (dual of [large, large−258, 10]-code) [i]
157Linear OA(2259, large, F2, 9) (dual of [large, large−259, 10]-code) [i]
158Linear OA(2260, large, F2, 9) (dual of [large, large−260, 10]-code) [i]
159Linear OOA(293, 4194301, F2, 2, 9) (dual of [(4194301, 2), 8388509, 10]-NRT-code) [i]OOA Folding
160Linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code) [i]
161Linear OOA(293, 2097150, F2, 4, 9) (dual of [(2097150, 4), 8388507, 10]-NRT-code) [i]
162Linear OOA(293, 2097150, F2, 5, 9) (dual of [(2097150, 5), 10485657, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row
163Linear OOA(293, 2097150, F2, 6, 9) (dual of [(2097150, 6), 12582807, 10]-NRT-code) [i]
164Linear OOA(293, 2097150, F2, 7, 9) (dual of [(2097150, 7), 14679957, 10]-NRT-code) [i]
165Linear OOA(293, 2097150, F2, 8, 9) (dual of [(2097150, 8), 16777107, 10]-NRT-code) [i]