MinT - Information on Result #989318

Information on Result #989318

Linear OOA(64⁶¹, 2796201, F₆₄, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using OOA 3-folding based on linear OA(64⁶¹, large, F₆₄, 16) (dual of [large, large−61, 17]-code), using

the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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(64⁶⁴, 2796202, F₆₄, 3, 16) (dual of [(2796202, 3), 8388542, 17]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(64⁶⁷, 2796203, F₆₄, 3, 16) (dual of [(2796203, 3), 8388542, 17]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(64⁶², 2796201, F₆₄, 3, 16) (dual of [(2796201, 3), 8388541, 17]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(64⁶³, 2796201, F₆₄, 3, 16) (dual of [(2796201, 3), 8388540, 17]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(4¹⁸³, large, F₄, 3, 16)	[i]	Trace Code for OOAs
6	Linear OOA(8¹²², 5592402, F₈, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code)	[i]	Trace Code for OOAs
7	Linear OOA(64⁶⁹, 2796266, F₆₄, 3, 16) (dual of [(2796266, 3), 8388729, 17]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
8	Linear OOA(64⁷⁰, 2796281, F₆₄, 3, 16) (dual of [(2796281, 3), 8388773, 17]-NRT-code)	[i]
9	Linear OOA(64⁷², 2796305, F₆₄, 3, 16) (dual of [(2796305, 3), 8388843, 17]-NRT-code)	[i]
10	Linear OOA(64⁷³, 2796331, F₆₄, 3, 16) (dual of [(2796331, 3), 8388920, 17]-NRT-code)	[i]
11	Linear OOA(64⁷⁴, 2796346, F₆₄, 3, 16) (dual of [(2796346, 3), 8388964, 17]-NRT-code)	[i]
12	Linear OOA(64⁷⁵, 2796361, F₆₄, 3, 16) (dual of [(2796361, 3), 8389008, 17]-NRT-code)	[i]
13	Linear OOA(64⁷⁶, 2797567, F₆₄, 3, 16) (dual of [(2797567, 3), 8392625, 17]-NRT-code)	[i]
14	Linear OOA(64⁷⁷, 2797568, F₆₄, 3, 16) (dual of [(2797568, 3), 8392627, 17]-NRT-code)	[i]
15	Linear OOA(64⁷⁸, 2797569, F₆₄, 3, 16) (dual of [(2797569, 3), 8392629, 17]-NRT-code)	[i]
16	Linear OOA(64⁷⁹, 2797570, F₆₄, 3, 16) (dual of [(2797570, 3), 8392631, 17]-NRT-code)	[i]
17	Linear OOA(64⁸⁰, 2797632, F₆₄, 3, 16) (dual of [(2797632, 3), 8392816, 17]-NRT-code)	[i]
18	Linear OOA(64⁸¹, 2798281, F₆₄, 3, 16) (dual of [(2798281, 3), 8394762, 17]-NRT-code)	[i]
19	Linear OOA(64⁸², 2799437, F₆₄, 3, 16) (dual of [(2799437, 3), 8398229, 17]-NRT-code)	[i]
20	Linear OOA(64⁸³, 2883583, F₆₄, 3, 16) (dual of [(2883583, 3), 8650666, 17]-NRT-code)	[i]
21	Linear OOA(64⁸⁴, 2883584, F₆₄, 3, 16) (dual of [(2883584, 3), 8650668, 17]-NRT-code)	[i]
22	Linear OOA(64⁸⁵, 2883586, F₆₄, 3, 16) (dual of [(2883586, 3), 8650673, 17]-NRT-code)	[i]
23	Linear OOA(64⁸⁶, 2883587, F₆₄, 3, 16) (dual of [(2883587, 3), 8650675, 17]-NRT-code)	[i]
24	Linear OOA(64⁸⁷, 2883648, F₆₄, 3, 16) (dual of [(2883648, 3), 8650857, 17]-NRT-code)	[i]
25	Linear OOA(64⁸⁸, 2883663, F₆₄, 3, 16) (dual of [(2883663, 3), 8650901, 17]-NRT-code)	[i]
26	Linear OOA(64⁸⁹, 2885599, F₆₄, 3, 16) (dual of [(2885599, 3), 8656708, 17]-NRT-code)	[i]
27	Linear OOA(64⁹⁰, 5592402, F₆₄, 3, 16) (dual of [(5592402, 3), 16777116, 17]-NRT-code)	[i]
28	Linear OOA(64⁷⁵, 2796396, F₆₄, 3, 16) (dual of [(2796396, 3), 8389113, 17]-NRT-code)	[i]
29	Linear OOA(64⁸¹, 2800361, F₆₄, 3, 16) (dual of [(2800361, 3), 8401002, 17]-NRT-code)	[i]
30	Linear OOA(64⁸², 2800376, F₆₄, 3, 16) (dual of [(2800376, 3), 8401046, 17]-NRT-code)	[i]
31	OOA(64⁷¹, 2796330, S₆₄, 3, 16)	[i]
32	OOA(64⁷², 2796458, S₆₄, 3, 16)	[i]
33	OOA(64⁷³, 2796459, S₆₄, 3, 16)	[i]
34	OOA(64⁷⁵, 2796460, S₆₄, 3, 16)	[i]
35	OOA(64⁷⁹, 2801663, S₆₄, 3, 16)	[i]
36	OOA(64⁸⁰, 2801664, S₆₄, 3, 16)	[i]
37	OOA(64⁸¹, 2818047, S₆₄, 3, 16)	[i]
38	OOA(64⁸⁷, 3495252, S₆₄, 3, 16)	[i]
39	OOA(64⁸⁸, 3495254, S₆₄, 3, 16)	[i]
40	OOA(64⁸⁹, 3495255, S₆₄, 3, 16)	[i]