MinT - Information on Result #611603

Information on Result #611603

Linear OA(3⁶¹, large, F₃, 7) (dual of [large, large−61, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (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:

	Result		Method
1	Linear OA(3⁶¹, large, F₃, 6) (dual of [large, large−61, 7]-code)	[i]	Strength Reduction
2	Linear OA(3⁶¹, large, F₃, 5) (dual of [large, large−61, 6]-code)	[i]
3	Linear OA(3⁶¹, large, F₃, 4) (dual of [large, large−61, 5]-code)	[i]
4	Linear OA(3⁶¹, large, F₃, 3) (dual of [large, large−61, 4]-code)	[i]
5	Linear OA(3⁶², large, F₃, 7) (dual of [large, large−62, 8]-code)	[i]	Code Embedding in Larger Space
6	Linear OA(3⁶³, large, F₃, 7) (dual of [large, large−63, 8]-code)	[i]
7	Linear OA(3⁶⁴, large, F₃, 7) (dual of [large, large−64, 8]-code)	[i]
8	Linear OA(3⁶⁵, large, F₃, 7) (dual of [large, large−65, 8]-code)	[i]
9	Linear OA(3⁶⁶, large, F₃, 7) (dual of [large, large−66, 8]-code)	[i]
10	Linear OA(3⁶⁷, large, F₃, 7) (dual of [large, large−67, 8]-code)	[i]
11	Linear OA(3⁶⁸, large, F₃, 7) (dual of [large, large−68, 8]-code)	[i]
12	Linear OA(3⁶⁹, large, F₃, 7) (dual of [large, large−69, 8]-code)	[i]
13	Linear OA(3⁷⁰, large, F₃, 7) (dual of [large, large−70, 8]-code)	[i]
14	Linear OA(3⁷¹, large, F₃, 7) (dual of [large, large−71, 8]-code)	[i]
15	Linear OA(3⁷², large, F₃, 7) (dual of [large, large−72, 8]-code)	[i]
16	Linear OA(3⁷³, large, F₃, 7) (dual of [large, large−73, 8]-code)	[i]
17	Linear OA(3⁷⁴, large, F₃, 7) (dual of [large, large−74, 8]-code)	[i]
18	Linear OA(3⁷⁵, large, F₃, 7) (dual of [large, large−75, 8]-code)	[i]
19	Linear OA(3⁷⁷, large, F₃, 7) (dual of [large, large−77, 8]-code)	[i]
20	Linear OA(3⁷⁸, large, F₃, 7) (dual of [large, large−78, 8]-code)	[i]
21	Linear OA(3⁷⁹, large, F₃, 7) (dual of [large, large−79, 8]-code)	[i]
22	Linear OA(3⁸⁰, large, F₃, 7) (dual of [large, large−80, 8]-code)	[i]
23	Linear OA(3⁸¹, large, F₃, 7) (dual of [large, large−81, 8]-code)	[i]
24	Linear OA(3⁸², large, F₃, 7) (dual of [large, large−82, 8]-code)	[i]
25	Linear OA(3⁸³, large, F₃, 7) (dual of [large, large−83, 8]-code)	[i]
26	Linear OA(3⁸⁴, large, F₃, 7) (dual of [large, large−84, 8]-code)	[i]
27	Linear OA(3⁸⁵, large, F₃, 7) (dual of [large, large−85, 8]-code)	[i]
28	Linear OA(3⁸⁶, large, F₃, 7) (dual of [large, large−86, 8]-code)	[i]
29	Linear OA(3⁸⁷, large, F₃, 7) (dual of [large, large−87, 8]-code)	[i]
30	Linear OA(3⁸⁸, large, F₃, 7) (dual of [large, large−88, 8]-code)	[i]
31	Linear OA(3⁸⁹, large, F₃, 7) (dual of [large, large−89, 8]-code)	[i]
32	Linear OA(3⁹², large, F₃, 7) (dual of [large, large−92, 8]-code)	[i]
33	Linear OA(3⁹³, large, F₃, 7) (dual of [large, large−93, 8]-code)	[i]
34	Linear OA(3⁹⁴, large, F₃, 7) (dual of [large, large−94, 8]-code)	[i]
35	Linear OA(3⁹⁵, large, F₃, 7) (dual of [large, large−95, 8]-code)	[i]
36	Linear OA(3⁹⁶, large, F₃, 7) (dual of [large, large−96, 8]-code)	[i]
37	Linear OA(3⁹⁷, large, F₃, 7) (dual of [large, large−97, 8]-code)	[i]
38	Linear OA(3⁹⁸, large, F₃, 7) (dual of [large, large−98, 8]-code)	[i]
39	Linear OA(3⁹⁹, large, F₃, 7) (dual of [large, large−99, 8]-code)	[i]
40	Linear OA(3¹⁰⁰, large, F₃, 7) (dual of [large, large−100, 8]-code)	[i]
41	Linear OA(3¹⁰¹, large, F₃, 7) (dual of [large, large−101, 8]-code)	[i]
42	Linear OA(3¹⁰², large, F₃, 7) (dual of [large, large−102, 8]-code)	[i]
43	Linear OA(3¹⁰³, large, F₃, 7) (dual of [large, large−103, 8]-code)	[i]
44	Linear OA(3¹⁰⁴, large, F₃, 7) (dual of [large, large−104, 8]-code)	[i]
45	Linear OA(3¹⁰⁵, large, F₃, 7) (dual of [large, large−105, 8]-code)	[i]
46	Linear OA(3¹⁰⁷, large, F₃, 7) (dual of [large, large−107, 8]-code)	[i]
47	Linear OA(3¹⁰⁸, large, F₃, 7) (dual of [large, large−108, 8]-code)	[i]
48	Linear OA(3¹⁰⁹, large, F₃, 7) (dual of [large, large−109, 8]-code)	[i]
49	Linear OA(3¹¹⁰, large, F₃, 7) (dual of [large, large−110, 8]-code)	[i]
50	Linear OA(3¹¹¹, large, F₃, 7) (dual of [large, large−111, 8]-code)	[i]
51	Linear OA(3¹¹², large, F₃, 7) (dual of [large, large−112, 8]-code)	[i]
52	Linear OA(3¹¹³, large, F₃, 7) (dual of [large, large−113, 8]-code)	[i]
53	Linear OA(3¹¹⁴, large, F₃, 7) (dual of [large, large−114, 8]-code)	[i]
54	Linear OA(3¹¹⁵, large, F₃, 7) (dual of [large, large−115, 8]-code)	[i]
55	Linear OA(3¹¹⁶, large, F₃, 7) (dual of [large, large−116, 8]-code)	[i]
56	Linear OA(3¹¹⁷, large, F₃, 7) (dual of [large, large−117, 8]-code)	[i]
57	Linear OA(3¹¹⁸, large, F₃, 7) (dual of [large, large−118, 8]-code)	[i]
58	Linear OA(3¹¹⁹, large, F₃, 7) (dual of [large, large−119, 8]-code)	[i]
59	Linear OA(3¹²², large, F₃, 7) (dual of [large, large−122, 8]-code)	[i]
60	Linear OA(3¹²³, large, F₃, 7) (dual of [large, large−123, 8]-code)	[i]
61	Linear OA(3¹²⁴, large, F₃, 7) (dual of [large, large−124, 8]-code)	[i]
62	Linear OA(3¹²⁵, large, F₃, 7) (dual of [large, large−125, 8]-code)	[i]
63	Linear OA(3¹²⁶, large, F₃, 7) (dual of [large, large−126, 8]-code)	[i]
64	Linear OA(3¹²⁷, large, F₃, 7) (dual of [large, large−127, 8]-code)	[i]
65	Linear OA(3¹²⁸, large, F₃, 7) (dual of [large, large−128, 8]-code)	[i]
66	Linear OA(3¹²⁹, large, F₃, 7) (dual of [large, large−129, 8]-code)	[i]
67	Linear OA(3¹³⁰, large, F₃, 7) (dual of [large, large−130, 8]-code)	[i]
68	Linear OA(3¹³¹, large, F₃, 7) (dual of [large, large−131, 8]-code)	[i]
69	Linear OA(3¹³², large, F₃, 7) (dual of [large, large−132, 8]-code)	[i]
70	Linear OA(3¹³³, large, F₃, 7) (dual of [large, large−133, 8]-code)	[i]
71	Linear OA(3¹³⁴, large, F₃, 7) (dual of [large, large−134, 8]-code)	[i]
72	Linear OA(3¹³⁵, large, F₃, 7) (dual of [large, large−135, 8]-code)	[i]
73	Linear OA(3¹³⁷, large, F₃, 7) (dual of [large, large−137, 8]-code)	[i]
74	Linear OA(3¹³⁸, large, F₃, 7) (dual of [large, large−138, 8]-code)	[i]
75	Linear OA(3¹³⁹, large, F₃, 7) (dual of [large, large−139, 8]-code)	[i]
76	Linear OA(3¹⁴⁰, large, F₃, 7) (dual of [large, large−140, 8]-code)	[i]
77	Linear OA(3¹⁴¹, large, F₃, 7) (dual of [large, large−141, 8]-code)	[i]
78	Linear OA(3¹⁴², large, F₃, 7) (dual of [large, large−142, 8]-code)	[i]
79	Linear OA(3¹⁴³, large, F₃, 7) (dual of [large, large−143, 8]-code)	[i]
80	Linear OA(3¹⁴⁴, large, F₃, 7) (dual of [large, large−144, 8]-code)	[i]
81	Linear OA(3¹⁴⁵, large, F₃, 7) (dual of [large, large−145, 8]-code)	[i]
82	Linear OA(3¹⁴⁶, large, F₃, 7) (dual of [large, large−146, 8]-code)	[i]
83	Linear OA(3¹⁴⁷, large, F₃, 7) (dual of [large, large−147, 8]-code)	[i]
84	Linear OA(3¹⁴⁸, large, F₃, 7) (dual of [large, large−148, 8]-code)	[i]
85	Linear OA(3¹⁴⁹, large, F₃, 7) (dual of [large, large−149, 8]-code)	[i]
86	Linear OA(3¹⁵², large, F₃, 7) (dual of [large, large−152, 8]-code)	[i]
87	Linear OA(3¹⁵³, large, F₃, 7) (dual of [large, large−153, 8]-code)	[i]
88	Linear OA(3¹⁵⁴, large, F₃, 7) (dual of [large, large−154, 8]-code)	[i]
89	Linear OA(3¹⁵⁵, large, F₃, 7) (dual of [large, large−155, 8]-code)	[i]
90	Linear OA(3¹⁵⁶, large, F₃, 7) (dual of [large, large−156, 8]-code)	[i]
91	Linear OA(3¹⁵⁷, large, F₃, 7) (dual of [large, large−157, 8]-code)	[i]
92	Linear OA(3¹⁵⁸, large, F₃, 7) (dual of [large, large−158, 8]-code)	[i]
93	Linear OA(3¹⁵⁹, large, F₃, 7) (dual of [large, large−159, 8]-code)	[i]
94	Linear OA(3¹⁶⁰, large, F₃, 7) (dual of [large, large−160, 8]-code)	[i]
95	Linear OA(3¹⁶¹, large, F₃, 7) (dual of [large, large−161, 8]-code)	[i]
96	Linear OA(3¹⁶², large, F₃, 7) (dual of [large, large−162, 8]-code)	[i]
97	Linear OA(3¹⁶³, large, F₃, 7) (dual of [large, large−163, 8]-code)	[i]
98	Linear OA(3¹⁶⁴, large, F₃, 7) (dual of [large, large−164, 8]-code)	[i]
99	Linear OA(3¹⁶⁵, large, F₃, 7) (dual of [large, large−165, 8]-code)	[i]
100	Linear OA(3¹⁶⁷, large, F₃, 7) (dual of [large, large−167, 8]-code)	[i]
101	Linear OA(3¹⁶⁸, large, F₃, 7) (dual of [large, large−168, 8]-code)	[i]
102	Linear OA(3¹⁶⁹, large, F₃, 7) (dual of [large, large−169, 8]-code)	[i]
103	Linear OA(3¹⁷⁰, large, F₃, 7) (dual of [large, large−170, 8]-code)	[i]
104	Linear OA(3¹⁷¹, large, F₃, 7) (dual of [large, large−171, 8]-code)	[i]
105	Linear OA(3¹⁷², large, F₃, 7) (dual of [large, large−172, 8]-code)	[i]
106	Linear OA(3¹⁷³, large, F₃, 7) (dual of [large, large−173, 8]-code)	[i]
107	Linear OA(3¹⁷⁴, large, F₃, 7) (dual of [large, large−174, 8]-code)	[i]
108	Linear OA(3¹⁷⁵, large, F₃, 7) (dual of [large, large−175, 8]-code)	[i]
109	Linear OA(3¹⁷⁶, large, F₃, 7) (dual of [large, large−176, 8]-code)	[i]
110	Linear OA(3¹⁷⁷, large, F₃, 7) (dual of [large, large−177, 8]-code)	[i]
111	Linear OA(3¹⁷⁸, large, F₃, 7) (dual of [large, large−178, 8]-code)	[i]
112	Linear OA(3¹⁷⁹, large, F₃, 7) (dual of [large, large−179, 8]-code)	[i]
113	Linear OA(3¹⁸², large, F₃, 7) (dual of [large, large−182, 8]-code)	[i]
114	Linear OA(3¹⁸³, large, F₃, 7) (dual of [large, large−183, 8]-code)	[i]
115	Linear OA(3¹⁸⁴, large, F₃, 7) (dual of [large, large−184, 8]-code)	[i]
116	Linear OA(3¹⁸⁵, large, F₃, 7) (dual of [large, large−185, 8]-code)	[i]
117	Linear OA(3¹⁸⁶, large, F₃, 7) (dual of [large, large−186, 8]-code)	[i]
118	Linear OA(3¹⁸⁷, large, F₃, 7) (dual of [large, large−187, 8]-code)	[i]
119	Linear OA(3¹⁸⁸, large, F₃, 7) (dual of [large, large−188, 8]-code)	[i]
120	Linear OA(3¹⁸⁹, large, F₃, 7) (dual of [large, large−189, 8]-code)	[i]
121	Linear OA(3¹⁹⁰, large, F₃, 7) (dual of [large, large−190, 8]-code)	[i]
122	Linear OA(3¹⁹¹, large, F₃, 7) (dual of [large, large−191, 8]-code)	[i]
123	Linear OA(3¹⁹², large, F₃, 7) (dual of [large, large−192, 8]-code)	[i]
124	Linear OA(3¹⁹³, large, F₃, 7) (dual of [large, large−193, 8]-code)	[i]
125	Linear OA(3¹⁹⁴, large, F₃, 7) (dual of [large, large−194, 8]-code)	[i]
126	Linear OA(3¹⁹⁵, large, F₃, 7) (dual of [large, large−195, 8]-code)	[i]
127	Linear OA(3¹⁹⁷, large, F₃, 7) (dual of [large, large−197, 8]-code)	[i]
128	Linear OA(3¹⁹⁸, large, F₃, 7) (dual of [large, large−198, 8]-code)	[i]
129	Linear OA(3¹⁹⁹, large, F₃, 7) (dual of [large, large−199, 8]-code)	[i]
130	Linear OA(3²⁰⁰, large, F₃, 7) (dual of [large, large−200, 8]-code)	[i]
131	Linear OA(3²⁰¹, large, F₃, 7) (dual of [large, large−201, 8]-code)	[i]
132	Linear OA(3²⁰², large, F₃, 7) (dual of [large, large−202, 8]-code)	[i]
133	Linear OA(3²⁰³, large, F₃, 7) (dual of [large, large−203, 8]-code)	[i]
134	Linear OA(3²⁰⁴, large, F₃, 7) (dual of [large, large−204, 8]-code)	[i]
135	Linear OA(3²⁰⁵, large, F₃, 7) (dual of [large, large−205, 8]-code)	[i]
136	Linear OA(3²⁰⁶, large, F₃, 7) (dual of [large, large−206, 8]-code)	[i]
137	Linear OA(3²⁰⁷, large, F₃, 7) (dual of [large, large−207, 8]-code)	[i]
138	Linear OA(3²⁰⁸, large, F₃, 7) (dual of [large, large−208, 8]-code)	[i]
139	Linear OA(3²⁰⁹, large, F₃, 7) (dual of [large, large−209, 8]-code)	[i]
140	Linear OA(3²¹², large, F₃, 7) (dual of [large, large−212, 8]-code)	[i]
141	Linear OA(3²¹³, large, F₃, 7) (dual of [large, large−213, 8]-code)	[i]
142	Linear OA(3²¹⁴, large, F₃, 7) (dual of [large, large−214, 8]-code)	[i]
143	Linear OA(3²¹⁵, large, F₃, 7) (dual of [large, large−215, 8]-code)	[i]
144	Linear OA(3²¹⁶, large, F₃, 7) (dual of [large, large−216, 8]-code)	[i]
145	Linear OA(3²¹⁷, large, F₃, 7) (dual of [large, large−217, 8]-code)	[i]
146	Linear OA(3²¹⁸, large, F₃, 7) (dual of [large, large−218, 8]-code)	[i]
147	Linear OA(3²¹⁹, large, F₃, 7) (dual of [large, large−219, 8]-code)	[i]
148	Linear OA(3²²⁰, large, F₃, 7) (dual of [large, large−220, 8]-code)	[i]
149	Linear OA(3²²¹, large, F₃, 7) (dual of [large, large−221, 8]-code)	[i]
150	Linear OA(3²²², large, F₃, 7) (dual of [large, large−222, 8]-code)	[i]
151	Linear OA(3²²³, large, F₃, 7) (dual of [large, large−223, 8]-code)	[i]
152	Linear OA(3²²⁴, large, F₃, 7) (dual of [large, large−224, 8]-code)	[i]
153	Linear OA(3²²⁵, large, F₃, 7) (dual of [large, large−225, 8]-code)	[i]
154	Linear OA(3²²⁷, large, F₃, 7) (dual of [large, large−227, 8]-code)	[i]
155	Linear OA(3²²⁸, large, F₃, 7) (dual of [large, large−228, 8]-code)	[i]
156	Linear OA(3²²⁹, large, F₃, 7) (dual of [large, large−229, 8]-code)	[i]
157	Linear OA(3²³⁰, large, F₃, 7) (dual of [large, large−230, 8]-code)	[i]
158	Linear OA(3²³¹, large, F₃, 7) (dual of [large, large−231, 8]-code)	[i]
159	Linear OA(3²³², large, F₃, 7) (dual of [large, large−232, 8]-code)	[i]
160	Linear OA(3²³³, large, F₃, 7) (dual of [large, large−233, 8]-code)	[i]
161	Linear OA(3²³⁴, large, F₃, 7) (dual of [large, large−234, 8]-code)	[i]
162	Linear OA(3²³⁵, large, F₃, 7) (dual of [large, large−235, 8]-code)	[i]
163	Linear OA(3²³⁶, large, F₃, 7) (dual of [large, large−236, 8]-code)	[i]
164	Linear OA(3²³⁷, large, F₃, 7) (dual of [large, large−237, 8]-code)	[i]
165	Linear OA(3²³⁸, large, F₃, 7) (dual of [large, large−238, 8]-code)	[i]
166	Linear OA(3²³⁹, large, F₃, 7) (dual of [large, large−239, 8]-code)	[i]
167	Linear OA(3²⁴², large, F₃, 7) (dual of [large, large−242, 8]-code)	[i]
168	Linear OA(3²⁴³, large, F₃, 7) (dual of [large, large−243, 8]-code)	[i]
169	Linear OA(3²⁴⁴, large, F₃, 7) (dual of [large, large−244, 8]-code)	[i]
170	Linear OA(3²⁴⁵, large, F₃, 7) (dual of [large, large−245, 8]-code)	[i]
171	Linear OA(3²⁴⁶, large, F₃, 7) (dual of [large, large−246, 8]-code)	[i]
172	Linear OA(3²⁴⁷, large, F₃, 7) (dual of [large, large−247, 8]-code)	[i]
173	Linear OA(3²⁴⁸, large, F₃, 7) (dual of [large, large−248, 8]-code)	[i]
174	Linear OA(3²⁴⁹, large, F₃, 7) (dual of [large, large−249, 8]-code)	[i]
175	Linear OA(3²⁵⁰, large, F₃, 7) (dual of [large, large−250, 8]-code)	[i]
176	Linear OOA(3⁶¹, 4194301, F₃, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code)	[i]	OOA Folding
177	Linear OOA(3⁶¹, 2796201, F₃, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code)	[i]	OOA Folding
178	Linear OOA(3⁶¹, 2796200, F₃, 4, 7) (dual of [(2796200, 4), 11184739, 8]-NRT-code)	[i]	OOA Folding and Stacking with Additional Row
179	Linear OOA(3⁶¹, 2796200, F₃, 5, 7) (dual of [(2796200, 5), 13980939, 8]-NRT-code)	[i]
180	Linear OOA(3⁶¹, 2796200, F₃, 7, 7) (dual of [(2796200, 7), 19573339, 8]-NRT-code)	[i]