MinT - Information on Result #704060

Information on Result #704060

Linear OA(3¹⁴¹, 728, F₃, 36) (dual of [728, 587, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 728Â = 3⁶âˆ’1, defining interval IÂ =Â [1,36], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 37

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

Primitive BCH-Codes (hidden) [i]

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3¹⁴⁹, 774, F₃, 36) (dual of [774, 625, 37]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening
2	Linear OA(3¹⁵⁰, 793, F₃, 36) (dual of [793, 643, 37]-code)	[i]
3	Linear OA(3¹⁵¹, 815, F₃, 36) (dual of [815, 664, 37]-code)	[i]
4	Linear OA(3¹⁵², 839, F₃, 36) (dual of [839, 687, 37]-code)	[i]
5	Linear OA(3¹⁵³, 865, F₃, 36) (dual of [865, 712, 37]-code)	[i]
6	Linear OA(3¹⁵⁴, 892, F₃, 36) (dual of [892, 738, 37]-code)	[i]
7	Linear OA(3¹⁵⁵, 920, F₃, 36) (dual of [920, 765, 37]-code)	[i]
8	Linear OA(3¹⁵⁷, 772, F₃, 36) (dual of [772, 615, 37]-code)	[i]	✔	ConstructionÂ X with Cyclic Codes
9	Linear OA(3¹⁵⁰, 743, F₃, 38) (dual of [743, 593, 39]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
10	Linear OA(3¹⁸⁶, 796, F₃, 42) (dual of [796, 610, 43]-code)	[i]	✔
11	Linear OA(3¹⁸⁴, 790, F₃, 42) (dual of [790, 606, 43]-code)	[i]	✔
12	Linear OA(3¹⁸⁹, 794, F₃, 43) (dual of [794, 605, 44]-code)	[i]	✔
13	Linear OA(3¹⁶⁰, 759, F₃, 39) (dual of [759, 599, 40]-code)	[i]	✔
14	Linear OA(3¹⁸³, 787, F₃, 42) (dual of [787, 604, 43]-code)	[i]	✔
15	Linear OA(3¹⁸⁷, 790, F₃, 43) (dual of [790, 603, 44]-code)	[i]	✔
16	Linear OA(3¹⁸¹, 781, F₃, 42) (dual of [781, 600, 43]-code)	[i]	✔
17	Linear OA(3¹⁸⁶, 785, F₃, 43) (dual of [785, 599, 44]-code)	[i]	✔
18	Linear OA(3¹⁶⁰, 753, F₃, 40) (dual of [753, 593, 41]-code)	[i]	✔
19	Linear OA(3¹⁵⁸, 748, F₃, 39) (dual of [748, 590, 40]-code)	[i]	✔
20	Linear OA(3¹⁸⁰, 778, F₃, 42) (dual of [778, 598, 43]-code)	[i]	✔
21	Linear OA(3¹⁸⁴, 781, F₃, 43) (dual of [781, 597, 44]-code)	[i]	✔
22	Linear OA(3¹⁷⁸, 772, F₃, 42) (dual of [772, 594, 43]-code)	[i]	✔
23	Linear OA(3¹⁷⁷, 769, F₃, 42) (dual of [769, 592, 43]-code)	[i]	✔
24	Linear OA(3¹⁸¹, 772, F₃, 43) (dual of [772, 591, 44]-code)	[i]	✔
25	Linear OA(3¹⁷⁵, 763, F₃, 42) (dual of [763, 588, 43]-code)	[i]	✔
26	Linear OA(3¹⁶⁵, 752, F₃, 41) (dual of [752, 587, 42]-code)	[i]	✔
27	Linear OA(3¹⁷³, 760, F₃, 42) (dual of [760, 587, 43]-code)	[i]	✔
28	Linear OA(3¹⁸⁶, 771, F₃, 44) (dual of [771, 585, 45]-code)	[i]	✔
29	Linear OA(3¹⁷², 759, F₃, 42) (dual of [759, 587, 43]-code)	[i]	✔
30	Linear OA(3¹⁹², 778, F₃, 45) (dual of [778, 586, 46]-code)	[i]	✔
31	Linear OA(3¹⁹⁶, 781, F₃, 46) (dual of [781, 585, 47]-code)	[i]	✔
32	Linear OA(3¹⁹⁰, 772, F₃, 45) (dual of [772, 582, 46]-code)	[i]	✔
33	Linear OA(3¹⁹¹, 778, F₃, 45) (dual of [778, 587, 46]-code)	[i]	✔
34	Linear OA(3²⁰⁴, 789, F₃, 47) (dual of [789, 585, 48]-code)	[i]	✔
35	Linear OA(3²⁰³, 784, F₃, 47) (dual of [784, 581, 48]-code)	[i]	✔
36	Linear OA(3²¹⁰, 796, F₃, 48) (dual of [796, 586, 49]-code)	[i]	✔
37	Linear OA(3²¹⁴, 799, F₃, 49) (dual of [799, 585, 50]-code)	[i]	✔
38	Linear OA(3²⁰⁸, 790, F₃, 48) (dual of [790, 582, 49]-code)	[i]	✔
39	Linear OA(3²¹³, 794, F₃, 49) (dual of [794, 581, 50]-code)	[i]	✔
40	Linear OOA(3¹⁴¹, 364, F₃, 2, 36) (dual of [(364, 2), 587, 37]-NRT-code)	[i]		OOA Folding
41	Linear OOA(3¹⁴¹, 242, F₃, 3, 36) (dual of [(242, 3), 585, 37]-NRT-code)	[i]
42	Linear OOA(3¹⁴¹, 182, F₃, 4, 36) (dual of [(182, 4), 587, 37]-NRT-code)	[i]
43	Linear OOA(3¹⁴¹, 145, F₃, 5, 36) (dual of [(145, 5), 584, 37]-NRT-code)	[i]