MinT - Information on Result #707339

Information on Result #707339

Linear OA(4¹⁴¹, 1023, F₄, 38) (dual of [1023, 882, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023Â = 4⁵âˆ’1, defining interval IÂ =Â [0,37], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 39

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁴¹, 1018, F₄, 2, 38) (dual of [(1018, 2), 1895, 39]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(4¹⁴¹, 1018, F₄, 3, 38) (dual of [(1018, 3), 2913, 39]-NRT-code)	[i]
3	Digital (103, 141, 1018)-net over F₄	[i]
4	Linear OA(4¹⁶⁶, 1092, F₄, 38) (dual of [1092, 926, 39]-code)	[i]	✔	ConstructionÂ X with Cyclic Codes
5	Linear OA(4¹⁶⁷, 1094, F₄, 38) (dual of [1094, 927, 39]-code)	[i]	✔
6	Linear OA(4²¹¹, 1092, F₄, 50) (dual of [1092, 881, 51]-code)	[i]	✔
7	Linear OA(4²¹², 1094, F₄, 50) (dual of [1094, 882, 51]-code)	[i]	✔
8	Linear OA(4¹⁷⁵, 1077, F₄, 43) (dual of [1077, 902, 44]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
9	Linear OA(4¹⁷⁴, 1071, F₄, 43) (dual of [1071, 897, 44]-code)	[i]	✔
10	Linear OA(4¹⁶⁵, 1060, F₄, 42) (dual of [1060, 895, 43]-code)	[i]	✔
11	Linear OA(4¹⁴⁶, 1033, F₄, 39) (dual of [1033, 887, 40]-code)	[i]	✔
12	Linear OA(4¹⁸³, 1084, F₄, 44) (dual of [1084, 901, 45]-code)	[i]	✔
13	Linear OA(4¹⁷³, 1070, F₄, 43) (dual of [1070, 897, 44]-code)	[i]	✔
14	Linear OA(4¹⁶³, 1053, F₄, 42) (dual of [1053, 890, 43]-code)	[i]	✔
15	Linear OA(4¹⁵², 1039, F₄, 40) (dual of [1039, 887, 41]-code)	[i]	✔
16	Linear OA(4¹⁸¹, 1077, F₄, 44) (dual of [1077, 896, 45]-code)	[i]	✔
17	Linear OA(4¹⁷¹, 1063, F₄, 43) (dual of [1063, 892, 44]-code)	[i]	✔
18	Linear OA(4¹⁷⁰, 1057, F₄, 43) (dual of [1057, 887, 44]-code)	[i]	✔
19	Linear OA(4¹⁷⁹, 1070, F₄, 44) (dual of [1070, 891, 45]-code)	[i]	✔
20	Linear OA(4¹⁶¹, 1048, F₄, 42) (dual of [1048, 887, 43]-code)	[i]	✔
21	Linear OA(4¹⁶⁰, 1045, F₄, 42) (dual of [1045, 885, 43]-code)	[i]	✔
22	Linear OA(4¹⁶⁸, 1055, F₄, 43) (dual of [1055, 887, 44]-code)	[i]	✔
23	Linear OA(4¹⁶⁷, 1049, F₄, 43) (dual of [1049, 882, 44]-code)	[i]	✔
24	Linear OA(4¹⁷⁶, 1062, F₄, 44) (dual of [1062, 886, 45]-code)	[i]	✔
25	Linear OA(4¹⁵¹, 1033, F₄, 40) (dual of [1033, 882, 41]-code)	[i]	✔
26	Linear OA(4¹⁶⁵, 1045, F₄, 43) (dual of [1045, 880, 44]-code)	[i]	✔
27	Linear OA(4¹⁷², 1049, F₄, 44) (dual of [1049, 877, 45]-code)	[i]	✔
28	Linear OA(4¹⁷⁴, 1056, F₄, 45) (dual of [1056, 882, 46]-code)	[i]	✔
29	Linear OA(4¹⁷³, 1053, F₄, 45) (dual of [1053, 880, 46]-code)	[i]	✔
30	Linear OA(4¹⁸¹, 1063, F₄, 46) (dual of [1063, 882, 47]-code)	[i]	✔
31	Linear OA(4¹⁸⁰, 1057, F₄, 46) (dual of [1057, 877, 47]-code)	[i]	✔
32	Linear OA(4¹⁸⁹, 1070, F₄, 47) (dual of [1070, 881, 48]-code)	[i]	✔
33	Linear OA(4¹⁹⁷, 1072, F₄, 48) (dual of [1072, 875, 49]-code)	[i]	✔
34	Linear OA(4¹⁸⁰, 1060, F₄, 46) (dual of [1060, 880, 47]-code)	[i]	✔
35	Linear OA(4¹⁸⁸, 1070, F₄, 47) (dual of [1070, 882, 48]-code)	[i]	✔
36	Linear OA(4¹⁹⁶, 1077, F₄, 48) (dual of [1077, 881, 49]-code)	[i]	✔
37	Linear OA(4¹⁹⁵, 1077, F₄, 48) (dual of [1077, 882, 49]-code)	[i]	✔
38	Linear OA(4¹⁹⁴, 1071, F₄, 48) (dual of [1071, 877, 49]-code)	[i]	✔