MinT - Information on Result #625144

Information on Result #625144

Linear OA(8¹³, large, F₈, 3) (dual of [large, large−13, 4]-code), using product of projective cap with (hyper)oval based on linear OA(8¹¹, 878592, F₈, 3) (dual of [878592, 878581, 4]-code or 878592-cap in PG(10,8)), using

product of projective cap with cap in AG(4,Â 8) [i] based on linear OA(8⁷, 4224, F₈, 3) (dual of [4224, 4217, 4]-code or 4224-cap in PG(6,8)), using
- product of two caps with tangent hyperplane [i]

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(8¹⁴, large, F₈, 3) (dual of [large, large−14, 4]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(8¹⁵, large, F₈, 3) (dual of [large, large−15, 4]-code)	[i]
3	Linear OA(8¹⁶, large, F₈, 3) (dual of [large, large−16, 4]-code)	[i]
4	Linear OA(8¹⁸, large, F₈, 3) (dual of [large, large−18, 4]-code)	[i]
5	Linear OA(8¹⁹, large, F₈, 3) (dual of [large, large−19, 4]-code)	[i]
6	Linear OA(8²⁰, large, F₈, 3) (dual of [large, large−20, 4]-code)	[i]
7	Linear OA(8²¹, large, F₈, 3) (dual of [large, large−21, 4]-code)	[i]
8	Linear OA(8²², large, F₈, 3) (dual of [large, large−22, 4]-code)	[i]
9	Linear OA(8²³, large, F₈, 3) (dual of [large, large−23, 4]-code)	[i]
10	Linear OA(8²⁴, large, F₈, 3) (dual of [large, large−24, 4]-code)	[i]
11	Linear OA(8²⁶, large, F₈, 3) (dual of [large, large−26, 4]-code)	[i]
12	Linear OA(8²⁷, large, F₈, 3) (dual of [large, large−27, 4]-code)	[i]
13	Linear OA(8²⁸, large, F₈, 3) (dual of [large, large−28, 4]-code)	[i]
14	Linear OA(8²⁹, large, F₈, 3) (dual of [large, large−29, 4]-code)	[i]
15	Linear OA(8³⁰, large, F₈, 3) (dual of [large, large−30, 4]-code)	[i]
16	Linear OA(8³¹, large, F₈, 3) (dual of [large, large−31, 4]-code)	[i]
17	Linear OA(8³², large, F₈, 3) (dual of [large, large−32, 4]-code)	[i]
18	Linear OA(8³⁴, large, F₈, 3) (dual of [large, large−34, 4]-code)	[i]
19	Linear OA(8³⁵, large, F₈, 3) (dual of [large, large−35, 4]-code)	[i]
20	Linear OA(8³⁶, large, F₈, 3) (dual of [large, large−36, 4]-code)	[i]
21	Linear OA(8³⁷, large, F₈, 3) (dual of [large, large−37, 4]-code)	[i]
22	Linear OA(8³⁸, large, F₈, 3) (dual of [large, large−38, 4]-code)	[i]
23	Linear OA(8³⁹, large, F₈, 3) (dual of [large, large−39, 4]-code)	[i]
24	Linear OA(8⁴⁰, large, F₈, 3) (dual of [large, large−40, 4]-code)	[i]
25	Linear OA(8⁴², large, F₈, 3) (dual of [large, large−42, 4]-code)	[i]
26	Linear OA(8⁴³, large, F₈, 3) (dual of [large, large−43, 4]-code)	[i]
27	Linear OA(8⁴⁴, large, F₈, 3) (dual of [large, large−44, 4]-code)	[i]
28	Linear OA(8⁴⁵, large, F₈, 3) (dual of [large, large−45, 4]-code)	[i]
29	Linear OA(8⁴⁶, large, F₈, 3) (dual of [large, large−46, 4]-code)	[i]
30	Linear OA(8⁴⁷, large, F₈, 3) (dual of [large, large−47, 4]-code)	[i]
31	Linear OA(8⁴⁸, large, F₈, 3) (dual of [large, large−48, 4]-code)	[i]
32	Linear OA(8⁵⁰, large, F₈, 3) (dual of [large, large−50, 4]-code)	[i]
33	Linear OA(8⁵¹, large, F₈, 3) (dual of [large, large−51, 4]-code)	[i]
34	Linear OA(8⁵², large, F₈, 3) (dual of [large, large−52, 4]-code)	[i]
35	Linear OA(8⁵³, large, F₈, 3) (dual of [large, large−53, 4]-code)	[i]
36	Linear OA(8⁵⁴, large, F₈, 3) (dual of [large, large−54, 4]-code)	[i]
37	Linear OA(8⁵⁵, large, F₈, 3) (dual of [large, large−55, 4]-code)	[i]
38	Linear OA(8⁵⁸, large, F₈, 3) (dual of [large, large−58, 4]-code)	[i]
39	Linear OA(8⁵⁹, large, F₈, 3) (dual of [large, large−59, 4]-code)	[i]
40	Linear OA(8⁶⁰, large, F₈, 3) (dual of [large, large−60, 4]-code)	[i]
41	Linear OA(8⁶¹, large, F₈, 3) (dual of [large, large−61, 4]-code)	[i]
42	Linear OA(8⁶², large, F₈, 3) (dual of [large, large−62, 4]-code)	[i]
43	Linear OA(8⁶³, large, F₈, 3) (dual of [large, large−63, 4]-code)	[i]
44	Linear OA(8⁶⁴, large, F₈, 3) (dual of [large, large−64, 4]-code)	[i]
45	Linear OA(8⁶⁶, large, F₈, 3) (dual of [large, large−66, 4]-code)	[i]
46	Linear OA(8⁶⁷, large, F₈, 3) (dual of [large, large−67, 4]-code)	[i]
47	Linear OA(8⁶⁸, large, F₈, 3) (dual of [large, large−68, 4]-code)	[i]
48	Linear OA(8⁶⁹, large, F₈, 3) (dual of [large, large−69, 4]-code)	[i]
49	Linear OA(8⁷⁰, large, F₈, 3) (dual of [large, large−70, 4]-code)	[i]
50	Linear OA(8⁷¹, large, F₈, 3) (dual of [large, large−71, 4]-code)	[i]
51	Linear OA(8⁷², large, F₈, 3) (dual of [large, large−72, 4]-code)	[i]
52	Linear OA(8⁷⁴, large, F₈, 3) (dual of [large, large−74, 4]-code)	[i]
53	Linear OA(8⁷⁵, large, F₈, 3) (dual of [large, large−75, 4]-code)	[i]
54	Linear OA(8⁷⁶, large, F₈, 3) (dual of [large, large−76, 4]-code)	[i]
55	Linear OA(8⁷⁷, large, F₈, 3) (dual of [large, large−77, 4]-code)	[i]
56	Linear OA(8⁷⁸, large, F₈, 3) (dual of [large, large−78, 4]-code)	[i]
57	Linear OA(8⁷⁹, large, F₈, 3) (dual of [large, large−79, 4]-code)	[i]
58	Linear OA(8⁸⁰, large, F₈, 3) (dual of [large, large−80, 4]-code)	[i]
59	Linear OA(8⁸², large, F₈, 3) (dual of [large, large−82, 4]-code)	[i]
60	Linear OA(8⁸³, large, F₈, 3) (dual of [large, large−83, 4]-code)	[i]
61	Linear OA(8⁸⁴, large, F₈, 3) (dual of [large, large−84, 4]-code)	[i]
62	Linear OA(8⁸⁵, large, F₈, 3) (dual of [large, large−85, 4]-code)	[i]
63	Linear OA(8⁸⁶, large, F₈, 3) (dual of [large, large−86, 4]-code)	[i]
64	Linear OA(8⁸⁷, large, F₈, 3) (dual of [large, large−87, 4]-code)	[i]
65	Linear OA(8⁸⁸, large, F₈, 3) (dual of [large, large−88, 4]-code)	[i]
66	Linear OA(8⁹⁰, large, F₈, 3) (dual of [large, large−90, 4]-code)	[i]
67	Linear OA(8⁹¹, large, F₈, 3) (dual of [large, large−91, 4]-code)	[i]
68	Linear OA(8⁹², large, F₈, 3) (dual of [large, large−92, 4]-code)	[i]
69	Linear OA(8⁹³, large, F₈, 3) (dual of [large, large−93, 4]-code)	[i]
70	Linear OA(8⁹⁴, large, F₈, 3) (dual of [large, large−94, 4]-code)	[i]
71	Linear OA(8⁹⁵, large, F₈, 3) (dual of [large, large−95, 4]-code)	[i]
72	Linear OA(8⁹⁶, large, F₈, 3) (dual of [large, large−96, 4]-code)	[i]
73	Linear OA(8⁹⁸, large, F₈, 3) (dual of [large, large−98, 4]-code)	[i]
74	Linear OA(8⁹⁹, large, F₈, 3) (dual of [large, large−99, 4]-code)	[i]
75	Linear OA(8¹⁰⁰, large, F₈, 3) (dual of [large, large−100, 4]-code)	[i]
76	Linear OA(8¹⁰¹, large, F₈, 3) (dual of [large, large−101, 4]-code)	[i]
77	Linear OA(8¹⁰², large, F₈, 3) (dual of [large, large−102, 4]-code)	[i]
78	Linear OA(8¹⁰³, large, F₈, 3) (dual of [large, large−103, 4]-code)	[i]
79	Linear OA(8¹⁰⁴, large, F₈, 3) (dual of [large, large−104, 4]-code)	[i]
80	Linear OA(8¹⁰⁶, large, F₈, 3) (dual of [large, large−106, 4]-code)	[i]
81	Linear OA(8¹⁰⁷, large, F₈, 3) (dual of [large, large−107, 4]-code)	[i]
82	Linear OA(8¹⁰⁸, large, F₈, 3) (dual of [large, large−108, 4]-code)	[i]
83	Linear OA(8¹⁰⁹, large, F₈, 3) (dual of [large, large−109, 4]-code)	[i]
84	Linear OA(8¹¹⁰, large, F₈, 3) (dual of [large, large−110, 4]-code)	[i]
85	Linear OA(8¹¹¹, large, F₈, 3) (dual of [large, large−111, 4]-code)	[i]
86	Linear OA(8¹¹⁴, large, F₈, 3) (dual of [large, large−114, 4]-code)	[i]
87	Linear OA(8¹¹⁵, large, F₈, 3) (dual of [large, large−115, 4]-code)	[i]
88	Linear OA(8¹¹⁶, large, F₈, 3) (dual of [large, large−116, 4]-code)	[i]
89	Linear OA(8¹¹⁷, large, F₈, 3) (dual of [large, large−117, 4]-code)	[i]
90	Linear OA(8¹¹⁸, large, F₈, 3) (dual of [large, large−118, 4]-code)	[i]
91	Linear OA(8¹¹⁹, large, F₈, 3) (dual of [large, large−119, 4]-code)	[i]
92	Linear OA(8¹²⁰, large, F₈, 3) (dual of [large, large−120, 4]-code)	[i]
93	Linear OA(8¹²², large, F₈, 3) (dual of [large, large−122, 4]-code)	[i]
94	Linear OA(8¹²³, large, F₈, 3) (dual of [large, large−123, 4]-code)	[i]
95	Linear OA(8¹²⁴, large, F₈, 3) (dual of [large, large−124, 4]-code)	[i]
96	Linear OA(8¹²⁵, large, F₈, 3) (dual of [large, large−125, 4]-code)	[i]
97	Linear OA(8¹²⁶, large, F₈, 3) (dual of [large, large−126, 4]-code)	[i]
98	Linear OA(8¹²⁷, large, F₈, 3) (dual of [large, large−127, 4]-code)	[i]
99	Linear OA(8¹²⁸, large, F₈, 3) (dual of [large, large−128, 4]-code)	[i]
100	Linear OA(8¹³⁰, large, F₈, 3) (dual of [large, large−130, 4]-code)	[i]
101	Linear OA(8¹³¹, large, F₈, 3) (dual of [large, large−131, 4]-code)	[i]
102	Linear OA(8¹³², large, F₈, 3) (dual of [large, large−132, 4]-code)	[i]
103	Linear OA(8¹³³, large, F₈, 3) (dual of [large, large−133, 4]-code)	[i]
104	Linear OA(8¹³⁴, large, F₈, 3) (dual of [large, large−134, 4]-code)	[i]
105	Linear OA(8¹³⁵, large, F₈, 3) (dual of [large, large−135, 4]-code)	[i]
106	Linear OA(8¹³⁶, large, F₈, 3) (dual of [large, large−136, 4]-code)	[i]
107	Linear OA(8¹³⁸, large, F₈, 3) (dual of [large, large−138, 4]-code)	[i]
108	Linear OA(8¹³⁹, large, F₈, 3) (dual of [large, large−139, 4]-code)	[i]
109	Linear OA(8¹⁴⁰, large, F₈, 3) (dual of [large, large−140, 4]-code)	[i]
110	Linear OA(8¹⁴¹, large, F₈, 3) (dual of [large, large−141, 4]-code)	[i]
111	Linear OA(8¹⁴², large, F₈, 3) (dual of [large, large−142, 4]-code)	[i]
112	Linear OA(8¹⁴³, large, F₈, 3) (dual of [large, large−143, 4]-code)	[i]
113	Linear OA(8¹⁴⁴, large, F₈, 3) (dual of [large, large−144, 4]-code)	[i]
114	Linear OA(8¹⁴⁶, large, F₈, 3) (dual of [large, large−146, 4]-code)	[i]
115	Linear OA(8¹⁴⁷, large, F₈, 3) (dual of [large, large−147, 4]-code)	[i]
116	Linear OA(8¹⁴⁸, large, F₈, 3) (dual of [large, large−148, 4]-code)	[i]
117	Linear OA(8¹⁴⁹, large, F₈, 3) (dual of [large, large−149, 4]-code)	[i]
118	Linear OA(8¹⁵⁰, large, F₈, 3) (dual of [large, large−150, 4]-code)	[i]
119	Linear OA(8¹⁵¹, large, F₈, 3) (dual of [large, large−151, 4]-code)	[i]
120	Linear OA(8¹⁵², large, F₈, 3) (dual of [large, large−152, 4]-code)	[i]
121	Linear OA(8¹⁵⁴, large, F₈, 3) (dual of [large, large−154, 4]-code)	[i]
122	Linear OA(8¹⁵⁵, large, F₈, 3) (dual of [large, large−155, 4]-code)	[i]
123	Linear OA(8¹⁵⁶, large, F₈, 3) (dual of [large, large−156, 4]-code)	[i]
124	Linear OA(8¹⁵⁷, large, F₈, 3) (dual of [large, large−157, 4]-code)	[i]
125	Linear OA(8¹⁵⁸, large, F₈, 3) (dual of [large, large−158, 4]-code)	[i]
126	Linear OA(8¹⁵⁹, large, F₈, 3) (dual of [large, large−159, 4]-code)	[i]
127	Linear OA(8¹⁶⁰, large, F₈, 3) (dual of [large, large−160, 4]-code)	[i]
128	Linear OA(8¹⁶², large, F₈, 3) (dual of [large, large−162, 4]-code)	[i]
129	Linear OA(8¹⁶³, large, F₈, 3) (dual of [large, large−163, 4]-code)	[i]
130	Linear OA(8¹⁶⁴, large, F₈, 3) (dual of [large, large−164, 4]-code)	[i]
131	Linear OA(8¹⁶⁵, large, F₈, 3) (dual of [large, large−165, 4]-code)	[i]
132	Linear OA(8¹⁶⁶, large, F₈, 3) (dual of [large, large−166, 4]-code)	[i]
133	Linear OA(8¹⁶⁷, large, F₈, 3) (dual of [large, large−167, 4]-code)	[i]
134	Linear OA(8¹⁷⁰, large, F₈, 3) (dual of [large, large−170, 4]-code)	[i]
135	Linear OA(8¹⁷¹, large, F₈, 3) (dual of [large, large−171, 4]-code)	[i]
136	Linear OA(8¹⁷², large, F₈, 3) (dual of [large, large−172, 4]-code)	[i]
137	Linear OA(8¹⁷³, large, F₈, 3) (dual of [large, large−173, 4]-code)	[i]
138	Linear OOA(8¹³, large, F₈, 2, 3)	[i]	OAs with Strength 3, bÂ â‰ Â 2, and mÂ >Â 3 Are Always Embeddable
139	Linear OOA(8¹³, 8388602, F₈, 3, 3) (dual of [(8388602, 3), 25165793, 4]-NRT-code)	[i]	OOA Stacking with Additional Row