MinT - Information on Result #894008

Information on Result #894008

Linear OOA(8⁴², 8388602, F₈, 2, 6) (dual of [(8388602, 2), 16777162, 7]-NRT-code), using trace code based on linear OOA(64²¹, 4194301, F₆₄, 2, 6) (dual of [(4194301, 2), 8388581, 7]-NRT-code), using

OOA 2-folding [i] based on linear OA(64²¹, 8388602, F₆₄, 6) (dual of [8388602, 8388581, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(64²¹, large, F₆₄, 6) (dual of [large, large−21, 7]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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(8⁴⁴, large, F₈, 2, 6)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(8⁴⁶, large, F₈, 2, 6)	[i]
3	Linear OOA(8⁴⁸, large, F₈, 2, 6)	[i]
4	Linear OOA(8⁵⁰, large, F₈, 2, 6)	[i]
5	Linear OOA(8⁵², large, F₈, 2, 6)	[i]
6	Linear OOA(8⁵⁴, large, F₈, 2, 6)	[i]
7	Linear OOA(8⁵⁶, large, F₈, 2, 6)	[i]
8	Linear OOA(8⁵⁸, large, F₈, 2, 6)	[i]
9	Linear OOA(8⁶⁰, large, F₈, 2, 6)	[i]
10	Linear OOA(8⁶², large, F₈, 2, 6)	[i]
11	Linear OOA(8⁶⁴, large, F₈, 2, 6)	[i]
12	Linear OOA(8⁶⁶, large, F₈, 2, 6)	[i]
13	Linear OOA(8⁶⁸, large, F₈, 2, 6)	[i]
14	Linear OOA(8⁷⁰, large, F₈, 2, 6)	[i]
15	Linear OOA(8⁷², large, F₈, 2, 6)	[i]
16	Linear OOA(8⁷⁴, large, F₈, 2, 6)	[i]
17	Linear OOA(8⁷⁶, large, F₈, 2, 6)	[i]
18	Linear OOA(8⁷⁸, large, F₈, 2, 6)	[i]
19	Linear OOA(8⁸⁰, large, F₈, 2, 6)	[i]
20	Linear OOA(8⁸², large, F₈, 2, 6)	[i]
21	Linear OOA(8⁸⁴, large, F₈, 2, 6)	[i]
22	Linear OOA(8⁸⁶, large, F₈, 2, 6)	[i]
23	Linear OOA(8⁸⁸, large, F₈, 2, 6)	[i]
24	Linear OOA(8⁹⁰, large, F₈, 2, 6)	[i]
25	Linear OOA(8⁹², large, F₈, 2, 6)	[i]
26	Linear OOA(8⁹⁴, large, F₈, 2, 6)	[i]
27	Linear OOA(8⁹⁶, large, F₈, 2, 6)	[i]
28	Linear OOA(8⁹⁸, large, F₈, 2, 6)	[i]
29	Linear OOA(8¹⁰⁰, large, F₈, 2, 6)	[i]
30	Linear OOA(8¹⁰², large, F₈, 2, 6)	[i]
31	Linear OOA(8¹⁰⁴, large, F₈, 2, 6)	[i]
32	Linear OOA(8¹⁰⁶, large, F₈, 2, 6)	[i]
33	Linear OOA(8¹⁰⁸, large, F₈, 2, 6)	[i]
34	Linear OOA(8¹¹⁰, large, F₈, 2, 6)	[i]
35	Linear OOA(8¹¹², large, F₈, 2, 6)	[i]
36	Linear OOA(8¹¹⁴, large, F₈, 2, 6)	[i]
37	Linear OOA(8¹¹⁶, large, F₈, 2, 6)	[i]
38	Linear OOA(8¹¹⁸, large, F₈, 2, 6)	[i]
39	Linear OOA(8¹²⁰, large, F₈, 2, 6)	[i]
40	Linear OOA(8¹²², large, F₈, 2, 6)	[i]
41	Linear OOA(8¹²⁴, large, F₈, 2, 6)	[i]
42	Linear OOA(8¹²⁶, large, F₈, 2, 6)	[i]
43	Linear OOA(8¹²⁸, large, F₈, 2, 6)	[i]
44	Linear OOA(8¹³⁰, large, F₈, 2, 6)	[i]
45	Linear OOA(8¹³², large, F₈, 2, 6)	[i]
46	Linear OOA(8¹³⁴, large, F₈, 2, 6)	[i]
47	Linear OOA(8¹³⁶, large, F₈, 2, 6)	[i]
48	Linear OOA(8¹³⁸, large, F₈, 2, 6)	[i]
49	Linear OOA(8¹⁴⁰, large, F₈, 2, 6)	[i]
50	Linear OOA(8¹⁴², large, F₈, 2, 6)	[i]
51	Linear OOA(8¹⁴⁴, large, F₈, 2, 6)	[i]
52	Linear OOA(8¹⁴⁶, large, F₈, 2, 6)	[i]
53	Linear OOA(8¹⁴⁸, large, F₈, 2, 6)	[i]
54	Linear OOA(8¹⁵⁰, large, F₈, 2, 6)	[i]
55	Linear OOA(8¹⁵², large, F₈, 2, 6)	[i]
56	Linear OOA(8¹⁵⁴, large, F₈, 2, 6)	[i]
57	Linear OOA(8¹⁵⁶, large, F₈, 2, 6)	[i]
58	Linear OOA(8¹⁵⁸, large, F₈, 2, 6)	[i]
59	Linear OOA(8¹⁶⁰, large, F₈, 2, 6)	[i]
60	Linear OOA(8¹⁶², large, F₈, 2, 6)	[i]
61	Linear OOA(8¹⁶⁴, large, F₈, 2, 6)	[i]
62	Linear OOA(8¹⁶⁶, large, F₈, 2, 6)	[i]
63	Linear OOA(8¹⁶⁸, large, F₈, 2, 6)	[i]
64	Linear OOA(8¹⁷⁰, large, F₈, 2, 6)	[i]
65	Linear OOA(8¹⁷², large, F₈, 2, 6)	[i]
66	Linear OOA(8⁴³, 8388602, F₈, 2, 6) (dual of [(8388602, 2), 16777161, 7]-NRT-code)	[i]	OOA Duplication
67	Linear OOA(8⁴², 4194301, F₈, 3, 6) (dual of [(4194301, 3), 12582861, 7]-NRT-code)	[i]	OOA Folding