MinT - Information on Result #727921

Information on Result #727921

Linear OA(32³³, 1023, F₃₂, 17) (dual of [1023, 990, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18

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 OA(32³⁵, 1027, F₃₂, 18) (dual of [1027, 992, 19]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
2	Linear OA(32⁴¹, 1033, F₃₂, 20) (dual of [1033, 992, 21]-code)	[i]	✔
3	Linear OA(32⁷¹, 1074, F₃₂, 28) (dual of [1074, 1003, 29]-code)	[i]	✔
4	Linear OA(32⁷¹, 1075, F₃₂, 28) (dual of [1075, 1004, 29]-code)	[i]	✔
5	Linear OA(32⁴⁷, 1039, F₃₂, 22) (dual of [1039, 992, 23]-code)	[i]	✔
6	Linear OA(32⁷⁰, 1071, F₃₂, 28) (dual of [1071, 1001, 29]-code)	[i]	✔
7	Linear OA(32⁷⁰, 1072, F₃₂, 28) (dual of [1072, 1002, 29]-code)	[i]	✔
8	Linear OA(32⁶⁹, 1068, F₃₂, 28) (dual of [1068, 999, 29]-code)	[i]	✔
9	Linear OA(32⁷³, 1072, F₃₂, 29) (dual of [1072, 999, 30]-code)	[i]	✔
10	Linear OA(32⁷³, 1073, F₃₂, 29) (dual of [1073, 1000, 30]-code)	[i]	✔
11	Linear OA(32⁶⁹, 1069, F₃₂, 28) (dual of [1069, 1000, 29]-code)	[i]	✔
12	Linear OA(32⁵³, 1045, F₃₂, 24) (dual of [1045, 992, 25]-code)	[i]	✔
13	Linear OA(32⁶⁸, 1065, F₃₂, 28) (dual of [1065, 997, 29]-code)	[i]	✔
14	Linear OA(32⁷⁶, 1072, F₃₂, 30) (dual of [1072, 996, 31]-code)	[i]	✔
15	Linear OA(32⁷⁶, 1073, F₃₂, 30) (dual of [1073, 997, 31]-code)	[i]	✔
16	Linear OA(32⁷², 1070, F₃₂, 29) (dual of [1070, 998, 30]-code)	[i]	✔
17	Linear OA(32⁶⁸, 1066, F₃₂, 28) (dual of [1066, 998, 29]-code)	[i]	✔
18	Linear OA(32⁶⁷, 1062, F₃₂, 28) (dual of [1062, 995, 29]-code)	[i]	✔
19	Linear OA(32⁶⁷, 1063, F₃₂, 28) (dual of [1063, 996, 29]-code)	[i]	✔
20	Linear OA(32⁵⁹, 1051, F₃₂, 26) (dual of [1051, 992, 27]-code)	[i]	✔
21	Linear OA(32⁶⁶, 1059, F₃₂, 28) (dual of [1059, 993, 29]-code)	[i]	✔
22	Linear OA(32⁷⁰, 1064, F₃₂, 29) (dual of [1064, 994, 30]-code)	[i]	✔
23	Linear OA(32⁶⁶, 1060, F₃₂, 28) (dual of [1060, 994, 29]-code)	[i]	✔
24	Linear OA(32⁶⁵, 1057, F₃₂, 28) (dual of [1057, 992, 29]-code)	[i]	✔
25	Linear OA(32³⁷, 1027, F₃₂, 19) (dual of [1027, 990, 20]-code)	[i]	✔
26	Linear OA(32⁴⁰, 1030, F₃₂, 20) (dual of [1030, 990, 21]-code)	[i]	✔
27	Linear OA(32⁴³, 1033, F₃₂, 21) (dual of [1033, 990, 22]-code)	[i]	✔
28	Linear OA(32⁴⁶, 1036, F₃₂, 22) (dual of [1036, 990, 23]-code)	[i]	✔
29	Linear OA(32⁴⁹, 1039, F₃₂, 23) (dual of [1039, 990, 24]-code)	[i]	✔
30	Linear OA(32⁵², 1042, F₃₂, 24) (dual of [1042, 990, 25]-code)	[i]	✔
31	Linear OA(32⁵⁵, 1045, F₃₂, 25) (dual of [1045, 990, 26]-code)	[i]	✔
32	Linear OA(32⁵⁸, 1048, F₃₂, 26) (dual of [1048, 990, 27]-code)	[i]	✔
33	Linear OA(32⁶¹, 1051, F₃₂, 27) (dual of [1051, 990, 28]-code)	[i]	✔
34	Linear OA(32⁶⁴, 1054, F₃₂, 28) (dual of [1054, 990, 29]-code)	[i]	✔
35	Linear OA(32⁶⁷, 1057, F₃₂, 29) (dual of [1057, 990, 30]-code)	[i]	✔
36	Linear OA(32⁷⁰, 1060, F₃₂, 30) (dual of [1060, 990, 31]-code)	[i]	✔
37	Linear OA(32⁷³, 1063, F₃₂, 31) (dual of [1063, 990, 32]-code)	[i]	✔
38	Linear OA(32⁷⁶, 1064, F₃₂, 32) (dual of [1064, 988, 33]-code)	[i]	✔
39	Linear OA(32⁷⁶, 1066, F₃₂, 32) (dual of [1066, 990, 33]-code)	[i]	✔