MinT - Information on Result #873929

Information on Result #873929

Linear OOA(64⁵³, 4194301, F₆₄, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using OOA 2-folding based on linear OA(64⁵³, 8388602, F₆₄, 14) (dual of [8388602, 8388549, 15]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵³, large, F₆₄, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(64⁵⁵, 4194302, F₆₄, 2, 14) (dual of [(4194302, 2), 8388549, 15]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(64⁵⁷, 4194303, F₆₄, 2, 14) (dual of [(4194303, 2), 8388549, 15]-NRT-code)	[i]
3	Linear OOA(64⁵⁹, 4194304, F₆₄, 2, 14) (dual of [(4194304, 2), 8388549, 15]-NRT-code)	[i]
4	Linear OOA(64⁵⁴, 4194301, F₆₄, 2, 14) (dual of [(4194301, 2), 8388548, 15]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(4¹⁵⁹, large, F₄, 2, 14)	[i]	Trace Code for OOAs
6	Linear OOA(8¹⁰⁶, 8388602, F₈, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code)	[i]	Trace Code for OOAs
7	Linear OOA(64⁶⁰, 4194366, F₆₄, 2, 14) (dual of [(4194366, 2), 8388672, 15]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
8	Linear OOA(64⁶¹, 4194381, F₆₄, 2, 14) (dual of [(4194381, 2), 8388701, 15]-NRT-code)	[i]
9	Linear OOA(64⁶³, 4194431, F₆₄, 2, 14) (dual of [(4194431, 2), 8388799, 15]-NRT-code)	[i]
10	Linear OOA(64⁶⁴, 4194446, F₆₄, 2, 14) (dual of [(4194446, 2), 8388828, 15]-NRT-code)	[i]
11	Linear OOA(64⁶⁵, 4194461, F₆₄, 2, 14) (dual of [(4194461, 2), 8388857, 15]-NRT-code)	[i]
12	Linear OOA(64⁶⁶, 4196350, F₆₄, 2, 14) (dual of [(4196350, 2), 8392634, 15]-NRT-code)	[i]
13	Linear OOA(64⁶⁷, 4196352, F₆₄, 2, 14) (dual of [(4196352, 2), 8392637, 15]-NRT-code)	[i]
14	Linear OOA(64⁶⁸, 4196353, F₆₄, 2, 14) (dual of [(4196353, 2), 8392638, 15]-NRT-code)	[i]
15	Linear OOA(64⁶⁹, 4196415, F₆₄, 2, 14) (dual of [(4196415, 2), 8392761, 15]-NRT-code)	[i]
16	Linear OOA(64⁷⁰, 4198399, F₆₄, 2, 14) (dual of [(4198399, 2), 8396728, 15]-NRT-code)	[i]
17	Linear OOA(64⁷¹, 4198403, F₆₄, 2, 14) (dual of [(4198403, 2), 8396735, 15]-NRT-code)	[i]
18	Linear OOA(64⁷², 4325374, F₆₄, 2, 14) (dual of [(4325374, 2), 8650676, 15]-NRT-code)	[i]
19	Linear OOA(64⁷³, 4325377, F₆₄, 2, 14) (dual of [(4325377, 2), 8650681, 15]-NRT-code)	[i]
20	Linear OOA(64⁷⁴, 4325378, F₆₄, 2, 14) (dual of [(4325378, 2), 8650682, 15]-NRT-code)	[i]
21	Linear OOA(64⁷⁵, 4325439, F₆₄, 2, 14) (dual of [(4325439, 2), 8650803, 15]-NRT-code)	[i]
22	Linear OOA(64⁷⁶, 4329471, F₆₄, 2, 14) (dual of [(4329471, 2), 8658866, 15]-NRT-code)	[i]
23	Linear OOA(64⁷⁷, 4333639, F₆₄, 2, 14) (dual of [(4333639, 2), 8667201, 15]-NRT-code)	[i]
24	Linear OOA(64⁷⁸, 8388602, F₆₄, 2, 14) (dual of [(8388602, 2), 16777126, 15]-NRT-code)	[i]
25	Linear OOA(64⁶⁵, 4194496, F₆₄, 2, 14) (dual of [(4194496, 2), 8388927, 15]-NRT-code)	[i]
26	Linear OOA(64⁶⁹, 4198461, F₆₄, 2, 14) (dual of [(4198461, 2), 8396853, 15]-NRT-code)	[i]
27	Linear OOA(64⁷⁰, 4198476, F₆₄, 2, 14) (dual of [(4198476, 2), 8396882, 15]-NRT-code)	[i]
28	Linear OOA(64⁷¹, 4198491, F₆₄, 2, 14) (dual of [(4198491, 2), 8396911, 15]-NRT-code)	[i]
29	OOA(64⁶², 4194430, S₆₄, 2, 14)	[i]
30	OOA(64⁶³, 4194558, S₆₄, 2, 14)	[i]
31	OOA(64⁶⁴, 4194559, S₆₄, 2, 14)	[i]
32	OOA(64⁶⁵, 4194560, S₆₄, 2, 14)	[i]
33	OOA(64⁶⁹, 4202494, S₆₄, 2, 14)	[i]
34	OOA(64⁷⁰, 4202496, S₆₄, 2, 14)	[i]
35	OOA(64⁷¹, 4227070, S₆₄, 2, 14)	[i]
36	OOA(64⁷⁶, 5242878, S₆₄, 2, 14)	[i]
37	OOA(64⁷⁷, 5242881, S₆₄, 2, 14)	[i]