MinT - Information on Result #813614

Information on Result #813614

Linear OOA(3¹⁸¹, 4194301, F₃, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using OOA 2-folding based on linear OA(3¹⁸¹, 8388602, F₃, 19) (dual of [8388602, 8388421, 20]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁸¹, 4194301, F₃, 2, 18) (dual of [(4194301, 2), 8388421, 19]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁸³, 4194302, F₃, 2, 19) (dual of [(4194302, 2), 8388421, 20]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁸⁵, 4194303, F₃, 2, 19) (dual of [(4194303, 2), 8388421, 20]-NRT-code)	[i]
4	Linear OOA(3¹⁸⁷, 4194304, F₃, 2, 19) (dual of [(4194304, 2), 8388421, 20]-NRT-code)	[i]
5	Linear OOA(3¹⁸⁹, 4194305, F₃, 2, 19) (dual of [(4194305, 2), 8388421, 20]-NRT-code)	[i]
6	Linear OOA(3¹⁸², 4194301, F₃, 2, 19) (dual of [(4194301, 2), 8388420, 20]-NRT-code)	[i]	OOA Duplication
7	Linear OOA(3¹⁹⁰, 4194306, F₃, 2, 19) (dual of [(4194306, 2), 8388422, 20]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
8	Linear OOA(3¹⁹¹, 4194308, F₃, 2, 19) (dual of [(4194308, 2), 8388425, 20]-NRT-code)	[i]
9	Linear OOA(3¹⁹², 4194309, F₃, 2, 19) (dual of [(4194309, 2), 8388426, 20]-NRT-code)	[i]
10	Linear OOA(3¹⁹³, 4194311, F₃, 2, 19) (dual of [(4194311, 2), 8388429, 20]-NRT-code)	[i]
11	Linear OOA(3¹⁹⁴, 4194314, F₃, 2, 19) (dual of [(4194314, 2), 8388434, 20]-NRT-code)	[i]
12	Linear OOA(3¹⁹⁵, 4194316, F₃, 2, 19) (dual of [(4194316, 2), 8388437, 20]-NRT-code)	[i]
13	Linear OOA(3¹⁹⁶, 4194317, F₃, 2, 19) (dual of [(4194317, 2), 8388438, 20]-NRT-code)	[i]
14	Linear OOA(3¹⁹⁷, 4194319, F₃, 2, 19) (dual of [(4194319, 2), 8388441, 20]-NRT-code)	[i]
15	Linear OOA(3¹⁹⁸, 4194321, F₃, 2, 19) (dual of [(4194321, 2), 8388444, 20]-NRT-code)	[i]
16	Linear OOA(3¹⁹⁹, 4194322, F₃, 2, 19) (dual of [(4194322, 2), 8388445, 20]-NRT-code)	[i]
17	Linear OOA(3²⁰⁰, 4194327, F₃, 2, 19) (dual of [(4194327, 2), 8388454, 20]-NRT-code)	[i]
18	Linear OOA(3²⁰¹, 4194333, F₃, 2, 19) (dual of [(4194333, 2), 8388465, 20]-NRT-code)	[i]
19	Linear OOA(3²⁰³, 4194341, F₃, 2, 19) (dual of [(4194341, 2), 8388479, 20]-NRT-code)	[i]
20	Linear OOA(3²⁰⁵, 4194357, F₃, 2, 19) (dual of [(4194357, 2), 8388509, 20]-NRT-code)	[i]
21	Linear OOA(3²⁰⁷, 4194361, F₃, 2, 19) (dual of [(4194361, 2), 8388515, 20]-NRT-code)	[i]
22	Linear OOA(3²⁰⁸, 4194385, F₃, 2, 19) (dual of [(4194385, 2), 8388562, 20]-NRT-code)	[i]
23	Linear OOA(3²¹¹, 4194422, F₃, 2, 19) (dual of [(4194422, 2), 8388633, 20]-NRT-code)	[i]
24	Linear OOA(3²¹², 4194427, F₃, 2, 19) (dual of [(4194427, 2), 8388642, 20]-NRT-code)	[i]
25	Linear OOA(3²¹³, 4194429, F₃, 2, 19) (dual of [(4194429, 2), 8388645, 20]-NRT-code)	[i]
26	Linear OOA(3²¹⁴, 4194445, F₃, 2, 19) (dual of [(4194445, 2), 8388676, 20]-NRT-code)	[i]
27	Linear OOA(3²¹⁵, 4194465, F₃, 2, 19) (dual of [(4194465, 2), 8388715, 20]-NRT-code)	[i]
28	Linear OOA(3²¹⁶, 4194483, F₃, 2, 19) (dual of [(4194483, 2), 8388750, 20]-NRT-code)	[i]
29	Linear OOA(3²¹⁷, 4194665, F₃, 2, 19) (dual of [(4194665, 2), 8389113, 20]-NRT-code)	[i]
30	Linear OOA(3²¹⁸, 4194671, F₃, 2, 19) (dual of [(4194671, 2), 8389124, 20]-NRT-code)	[i]
31	Linear OOA(3²¹⁹, 4194673, F₃, 2, 19) (dual of [(4194673, 2), 8389127, 20]-NRT-code)	[i]
32	Linear OOA(3²²⁰, 4194675, F₃, 2, 19) (dual of [(4194675, 2), 8389130, 20]-NRT-code)	[i]
33	Linear OOA(3²²¹, 4194701, F₃, 2, 19) (dual of [(4194701, 2), 8389181, 20]-NRT-code)	[i]
34	Linear OOA(3²²², 4194847, F₃, 2, 19) (dual of [(4194847, 2), 8389472, 20]-NRT-code)	[i]
35	Linear OOA(3²²³, 4195394, F₃, 2, 19) (dual of [(4195394, 2), 8390565, 20]-NRT-code)	[i]
36	Linear OOA(3²²⁴, 4195398, F₃, 2, 19) (dual of [(4195398, 2), 8390572, 20]-NRT-code)	[i]
37	Linear OOA(3²²⁵, 4195403, F₃, 2, 19) (dual of [(4195403, 2), 8390581, 20]-NRT-code)	[i]
38	Linear OOA(3²⁰², 4194336, F₃, 2, 19) (dual of [(4194336, 2), 8388470, 20]-NRT-code)	[i]
39	Linear OOA(3²⁰³, 4194342, F₃, 2, 19) (dual of [(4194342, 2), 8388481, 20]-NRT-code)	[i]
40	Linear OOA(3²⁰⁴, 4194350, F₃, 2, 19) (dual of [(4194350, 2), 8388496, 20]-NRT-code)	[i]
41	Linear OOA(3²⁰⁵, 4194359, F₃, 2, 19) (dual of [(4194359, 2), 8388513, 20]-NRT-code)	[i]
42	Linear OOA(3²⁰⁶, 4194369, F₃, 2, 19) (dual of [(4194369, 2), 8388532, 20]-NRT-code)	[i]
43	Linear OOA(3²⁰⁷, 4194381, F₃, 2, 19) (dual of [(4194381, 2), 8388555, 20]-NRT-code)	[i]
44	Linear OOA(3²⁰⁸, 4194396, F₃, 2, 19) (dual of [(4194396, 2), 8388584, 20]-NRT-code)	[i]
45	Linear OOA(3²⁰⁹, 4194413, F₃, 2, 19) (dual of [(4194413, 2), 8388617, 20]-NRT-code)	[i]
46	Linear OOA(3²¹⁰, 4194432, F₃, 2, 19) (dual of [(4194432, 2), 8388654, 20]-NRT-code)	[i]
47	Linear OOA(3²¹¹, 4194456, F₃, 2, 19) (dual of [(4194456, 2), 8388701, 20]-NRT-code)	[i]
48	Linear OOA(3²¹², 4194483, F₃, 2, 19) (dual of [(4194483, 2), 8388754, 20]-NRT-code)	[i]
49	Linear OOA(3²¹³, 4194515, F₃, 2, 19) (dual of [(4194515, 2), 8388817, 20]-NRT-code)	[i]
50	Linear OOA(3²¹⁴, 4194552, F₃, 2, 19) (dual of [(4194552, 2), 8388890, 20]-NRT-code)	[i]
51	Linear OOA(3²¹⁵, 4194564, F₃, 2, 19) (dual of [(4194564, 2), 8388913, 20]-NRT-code)	[i]
52	Linear OOA(3²¹⁶, 4194646, F₃, 2, 19) (dual of [(4194646, 2), 8389076, 20]-NRT-code)	[i]
53	Linear OOA(3²¹⁷, 4194706, F₃, 2, 19) (dual of [(4194706, 2), 8389195, 20]-NRT-code)	[i]