MinT - Information on Result #704914

Information on Result #704914

Linear OA(3¹³⁰, 728, F₃, 34) (dual of [728, 598, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728Â = 3⁶âˆ’1, defining interval IÂ =Â [0,33], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35

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(3¹⁷⁴, 793, F₃, 40) (dual of [793, 619, 41]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
2	Linear OA(3¹⁷², 791, F₃, 39) (dual of [791, 619, 40]-code)	[i]	✔
3	Linear OA(3¹⁷², 787, F₃, 40) (dual of [787, 615, 41]-code)	[i]	✔
4	Linear OA(3¹⁴⁷, 757, F₃, 36) (dual of [757, 610, 37]-code)	[i]	✔
5	Linear OA(3¹⁴⁹, 757, F₃, 37) (dual of [757, 608, 38]-code)	[i]	✔
6	Linear OA(3¹⁴⁶, 754, F₃, 36) (dual of [754, 608, 37]-code)	[i]	✔
7	Linear OA(3¹⁸⁴, 796, F₃, 41) (dual of [796, 612, 42]-code)	[i]	✔
8	Linear OA(3¹⁷¹, 787, F₃, 40) (dual of [787, 616, 41]-code)	[i]	✔
9	Linear OA(3¹⁶⁹, 785, F₃, 39) (dual of [785, 616, 40]-code)	[i]	✔
10	Linear OA(3¹⁶⁹, 781, F₃, 40) (dual of [781, 612, 41]-code)	[i]	✔
11	Linear OA(3¹⁴⁷, 751, F₃, 37) (dual of [751, 604, 38]-code)	[i]	✔
12	Linear OA(3¹⁴⁴, 748, F₃, 36) (dual of [748, 604, 37]-code)	[i]	✔
13	Linear OA(3¹⁴⁶, 748, F₃, 37) (dual of [748, 602, 38]-code)	[i]	✔
14	Linear OA(3¹⁸¹, 790, F₃, 41) (dual of [790, 609, 42]-code)	[i]	✔
15	Linear OA(3¹⁵⁴, 755, F₃, 38) (dual of [755, 601, 39]-code)	[i]	✔
16	Linear OA(3¹⁶⁸, 778, F₃, 40) (dual of [778, 610, 41]-code)	[i]	✔
17	Linear OA(3¹⁶⁵, 775, F₃, 39) (dual of [775, 610, 40]-code)	[i]	✔
18	Linear OA(3¹⁶⁶, 772, F₃, 40) (dual of [772, 606, 41]-code)	[i]	✔
19	Linear OA(3¹⁶³, 769, F₃, 39) (dual of [769, 606, 40]-code)	[i]	✔
20	Linear OA(3¹⁷⁸, 781, F₃, 41) (dual of [781, 603, 42]-code)	[i]	✔
21	Linear OA(3¹⁶⁵, 769, F₃, 40) (dual of [769, 604, 41]-code)	[i]	✔
22	Linear OA(3¹⁶³, 763, F₃, 40) (dual of [763, 600, 41]-code)	[i]	✔
23	Linear OA(3¹⁷⁵, 772, F₃, 41) (dual of [772, 597, 42]-code)	[i]	✔
24	Linear OA(3¹⁴², 740, F₃, 36) (dual of [740, 598, 37]-code)	[i]	✔
25	Linear OA(3¹⁵², 750, F₃, 38) (dual of [750, 598, 39]-code)	[i]	✔
26	Linear OA(3¹⁵¹, 747, F₃, 38) (dual of [747, 596, 39]-code)	[i]	✔
27	Linear OA(3¹⁶⁰, 758, F₃, 39) (dual of [758, 598, 40]-code)	[i]	✔
28	Linear OA(3¹⁵⁹, 754, F₃, 39) (dual of [754, 595, 40]-code)	[i]	✔
29	Linear OA(3¹⁷⁰, 768, F₃, 41) (dual of [768, 598, 42]-code)	[i]	✔
30	Linear OA(3¹⁶⁸, 762, F₃, 41) (dual of [762, 594, 42]-code)	[i]	✔
31	Linear OA(3¹⁸⁰, 771, F₃, 42) (dual of [771, 591, 43]-code)	[i]	✔
32	Linear OA(3¹⁵⁹, 757, F₃, 39) (dual of [757, 598, 40]-code)	[i]	✔
33	Linear OA(3¹⁶¹, 757, F₃, 40) (dual of [757, 596, 41]-code)	[i]	✔
34	Linear OA(3¹⁵⁸, 754, F₃, 39) (dual of [754, 596, 40]-code)	[i]	✔
35	Linear OA(3¹⁸⁰, 778, F₃, 43) (dual of [778, 598, 44]-code)	[i]	✔
36	Linear OA(3¹⁷⁷, 775, F₃, 42) (dual of [775, 598, 43]-code)	[i]	✔
37	Linear OA(3¹⁷⁸, 772, F₃, 43) (dual of [772, 594, 44]-code)	[i]	✔
38	Linear OA(3¹⁷⁵, 769, F₃, 42) (dual of [769, 594, 43]-code)	[i]	✔
39	Linear OA(3¹⁹⁰, 781, F₃, 44) (dual of [781, 591, 45]-code)	[i]	✔
40	Linear OA(3¹⁸⁸, 786, F₃, 44) (dual of [786, 598, 45]-code)	[i]	✔
41	Linear OA(3¹⁸⁶, 780, F₃, 44) (dual of [780, 594, 45]-code)	[i]	✔
42	Linear OA(3¹⁹⁸, 789, F₃, 45) (dual of [789, 591, 46]-code)	[i]	✔
43	Linear OA(3¹⁹⁸, 796, F₃, 46) (dual of [796, 598, 47]-code)	[i]	✔
44	Linear OA(3¹⁹⁶, 794, F₃, 45) (dual of [794, 598, 46]-code)	[i]	✔
45	Linear OA(3¹⁹⁶, 790, F₃, 46) (dual of [790, 594, 47]-code)	[i]	✔
46	Linear OA(3¹⁹⁴, 788, F₃, 45) (dual of [788, 594, 46]-code)	[i]	✔
47	Linear OA(3²⁰⁸, 799, F₃, 47) (dual of [799, 591, 48]-code)	[i]	✔
48	Linear OOA(3¹³⁰, 364, F₃, 2, 34) (dual of [(364, 2), 598, 35]-NRT-code)	[i]		OOA Folding
49	Linear OOA(3¹³⁰, 182, F₃, 4, 34) (dual of [(182, 4), 598, 35]-NRT-code)	[i]
50	Linear OOA(3¹³⁰, 145, F₃, 5, 34) (dual of [(145, 5), 595, 35]-NRT-code)	[i]