MinT - Method Usage

Usage of Method: Quasi-Cyclic and Quasi-Twisted Codes by Daskalov and Gulliver

Appears in the following modes: “Constructive and linear” (135 times).

	Incarnation	Mode
1	Linear OA(3³³, 44, F₃, 19) (dual of [44, 11, 20]-code)	Constructive and linear	[i]
2	Linear OA(3⁴⁴, 55, F₃, 25) (dual of [55, 11, 26]-code)	Constructive and linear	[i]
3	Linear OA(3⁵⁵, 66, F₃, 31) (dual of [66, 11, 32]-code)	Constructive and linear	[i]
4	Linear OA(3³⁶, 48, F₃, 20) (dual of [48, 12, 21]-code)	Constructive and linear	[i]
5	Linear OA(3⁴⁸, 60, F₃, 27) (dual of [60, 12, 28]-code)	Constructive and linear	[i]
6	Linear OA(3⁴³, 56, F₃, 23) (dual of [56, 13, 24]-code)	Constructive and linear	[i]
7	Linear OA(3⁵², 65, F₃, 28) (dual of [65, 13, 29]-code)	Constructive and linear	[i]
8	Linear OA(3⁴², 56, F₃, 22) (dual of [56, 14, 23]-code)	Constructive and linear	[i]
9	Linear OA(3⁴⁵, 60, F₃, 22) (dual of [60, 15, 23]-code)	Constructive and linear	[i]
10	Linear OA(3⁴⁸, 64, F₃, 24) (dual of [64, 16, 25]-code)	Constructive and linear	[i]
11	Linear OA(4²⁷, 36, F₄, 18) (dual of [36, 9, 19]-code)	Constructive and linear	[i]
12	Linear OA(4⁸¹, 90, F₄, 54) (dual of [90, 9, 55]-code)	Constructive and linear	[i]
13	Linear OA(4⁹⁰, 99, F₄, 60) (dual of [99, 9, 61]-code)	Constructive and linear	[i]
14	Linear OA(4²⁰, 30, F₄, 13) (dual of [30, 10, 14]-code)	Constructive and linear	[i]
15	Linear OA(4⁴⁰, 50, F₄, 26) (dual of [50, 10, 27]-code)	Constructive and linear	[i]
16	Linear OA(4⁴⁵, 55, F₄, 29) (dual of [55, 10, 30]-code)	Constructive and linear	[i]
17	Linear OA(4²², 33, F₄, 14) (dual of [33, 11, 15]-code)	Constructive and linear	[i]
18	Linear OA(4³³, 44, F₄, 21) (dual of [44, 11, 22]-code)	Constructive and linear	[i]
19	Linear OA(4⁴⁴, 55, F₄, 28) (dual of [55, 11, 29]-code)	Constructive and linear	[i]
20	Linear OA(4²⁴, 36, F₄, 15) (dual of [36, 12, 16]-code)	Constructive and linear	[i]
21	Linear OA(4³⁶, 48, F₄, 22) (dual of [48, 12, 23]-code)	Constructive and linear	[i]
22	Linear OA(4⁴⁸, 60, F₄, 30) (dual of [60, 12, 31]-code)	Constructive and linear	[i]
23	Linear OA(3⁹⁵, 104, F₃, 59) (dual of [104, 9, 60]-code)	Constructive and linear	[i]
24	Linear OA(3¹³⁴, 143, F₃, 83) (dual of [143, 9, 84]-code)	Constructive and linear	[i]
25	Linear OA(3¹⁴⁷, 156, F₃, 92) (dual of [156, 9, 93]-code)	Constructive and linear	[i]
26	Linear OA(3⁵², 65, F₃, 29) (dual of [65, 13, 30]-code)	Constructive and linear	[i]
27	Linear OA(3⁴², 56, F₃, 23) (dual of [56, 14, 24]-code)	Constructive and linear	[i]
28	Linear OA(3⁴⁶, 60, F₃, 24) (dual of [60, 14, 25]-code)	Constructive and linear	[i]
29	Linear OA(3⁴⁵, 60, F₃, 23) (dual of [60, 15, 24]-code)	Constructive and linear	[i]
30	Linear OA(3⁴⁸, 64, F₃, 25) (dual of [64, 16, 26]-code)	Constructive and linear	[i]
31	Linear OA(3⁵¹, 68, F₃, 26) (dual of [68, 17, 27]-code)	Constructive and linear	[i]
32	Linear OA(3⁵⁵, 72, F₃, 28) (dual of [72, 17, 29]-code)	Constructive and linear	[i]
33	Linear OA(3¹¹⁹, 136, F₃, 63) (dual of [136, 17, 64]-code)	Constructive and linear	[i]
34	Linear OA(3¹³⁶, 153, F₃, 73) (dual of [153, 17, 74]-code)	Constructive and linear	[i]
35	Linear OA(3³⁶, 54, F₃, 18) (dual of [54, 18, 19]-code)	Constructive and linear	[i]
36	Linear OA(3⁵⁴, 72, F₃, 27) (dual of [72, 18, 28]-code)	Constructive and linear	[i]
37	Linear OA(3⁹⁰, 100, F₃, 54) (dual of [100, 10, 55]-code)	Constructive and linear	[i]
38	Linear OA(3¹⁴⁰, 150, F₃, 86) (dual of [150, 10, 87]-code)	Constructive and linear	[i]
39	Linear OA(3¹⁶⁰, 170, F₃, 98) (dual of [170, 10, 99]-code)	Constructive and linear	[i]
40	Linear OA(4⁴³, 50, F₄, 31) (dual of [50, 7, 32]-code)	Constructive and linear	[i]
41	Linear OA(4¹⁰⁵, 112, F₄, 75) (dual of [112, 7, 76]-code)	Constructive and linear	[i]
42	Linear OA(4¹³⁶, 143, F₄, 98) (dual of [143, 7, 99]-code)	Constructive and linear	[i]
43	Linear OA(4¹⁴³, 150, F₄, 103) (dual of [150, 7, 104]-code)	Constructive and linear	[i]
44	Linear OA(4¹⁴⁹, 156, F₄, 107) (dual of [156, 7, 108]-code)	Constructive and linear	[i]
45	Linear OA(4¹⁵⁴, 161, F₄, 110) (dual of [161, 7, 111]-code)	Constructive and linear	[i]
46	Linear OA(4¹⁶², 169, F₄, 117) (dual of [169, 7, 118]-code)	Constructive and linear	[i]
47	Linear OA(4¹⁶⁸, 175, F₄, 120) (dual of [175, 7, 121]-code)	Constructive and linear	[i]
48	Linear OA(4¹⁷⁵, 182, F₄, 126) (dual of [182, 7, 127]-code)	Constructive and linear	[i]
49	Linear OA(4¹⁸³, 190, F₄, 131) (dual of [190, 7, 132]-code)	Constructive and linear	[i]
50	Linear OA(4¹⁸⁸, 195, F₄, 135) (dual of [195, 7, 136]-code)	Constructive and linear	[i]
51	Linear OA(4¹⁹³, 200, F₄, 139) (dual of [200, 7, 140]-code)	Constructive and linear	[i]
52	Linear OA(4²⁰¹, 208, F₄, 145) (dual of [208, 7, 146]-code)	Constructive and linear	[i]
53	Linear OA(4²¹⁴, 221, F₄, 155) (dual of [221, 7, 156]-code)	Constructive and linear	[i]
54	Linear OA(4¹⁹, 30, F₄, 12) (dual of [30, 11, 13]-code)	Constructive and linear	[i]
55	Linear OA(4⁴⁰, 52, F₄, 24) (dual of [52, 12, 25]-code)	Constructive and linear	[i]
56	Linear OA(4³⁰, 45, F₄, 17) (dual of [45, 15, 18]-code)	Constructive and linear	[i]
57	Linear OA(4³², 48, F₄, 18) (dual of [48, 16, 19]-code)	Constructive and linear	[i]
58	Linear OA(4¹⁹², 200, F₄, 134) (dual of [200, 8, 135]-code)	Constructive and linear	[i]
59	Linear OA(4²⁰⁰, 208, F₄, 140) (dual of [208, 8, 141]-code)	Constructive and linear	[i]
60	Linear OA(4²²⁴, 232, F₄, 157) (dual of [232, 8, 158]-code)	Constructive and linear	[i]
61	Linear OA(4¹⁶⁸, 176, F₄, 116) (dual of [176, 8, 117]-code)	Constructive and linear	[i]
62	Linear OA(4¹⁷⁶, 184, F₄, 123) (dual of [184, 8, 124]-code)	Constructive and linear	[i]
63	Linear OA(4²⁰⁸, 216, F₄, 145) (dual of [216, 8, 146]-code)	Constructive and linear	[i]
64	Linear OA(4²¹⁶, 224, F₄, 151) (dual of [224, 8, 152]-code)	Constructive and linear	[i]
65	Linear OA(5⁴⁷, 52, F₅, 38) (dual of [52, 5, 39]-code)	Constructive and linear	[i]
66	Linear OA(5⁵¹, 56, F₅, 40) (dual of [56, 5, 41]-code)	Constructive and linear	[i]
67	Linear OA(5⁶¹, 66, F₅, 49) (dual of [66, 5, 50]-code)	Constructive and linear	[i]
68	Linear OA(5⁷³, 78, F₅, 59) (dual of [78, 5, 60]-code)	Constructive and linear	[i]
69	Linear OA(5⁸⁶, 91, F₅, 68) (dual of [91, 5, 69]-code)	Constructive and linear	[i]
70	Linear OA(5⁹⁴, 99, F₅, 74) (dual of [99, 5, 75]-code)	Constructive and linear	[i]
71	Linear OA(5¹⁸, 24, F₅, 14) (dual of [24, 6, 15]-code)	Constructive and linear	[i]
72	Linear OA(5²⁹, 35, F₅, 23) (dual of [35, 6, 24]-code)	Constructive and linear	[i]
73	Linear OA(5³⁶, 42, F₅, 29) (dual of [42, 6, 30]-code)	Constructive and linear	[i]
74	Linear OA(5⁴³, 49, F₅, 32) (dual of [49, 6, 33]-code)	Constructive and linear	[i]
75	Linear OA(5⁵⁰, 56, F₅, 38) (dual of [56, 6, 39]-code)	Constructive and linear	[i]
76	Linear OA(5⁵⁴, 60, F₅, 41) (dual of [60, 6, 42]-code)	Constructive and linear	[i]
77	Linear OA(5⁶⁰, 66, F₅, 46) (dual of [66, 6, 47]-code)	Constructive and linear	[i]
78	Linear OA(5⁶⁶, 72, F₅, 50) (dual of [72, 6, 51]-code)	Constructive and linear	[i]
79	Linear OA(5⁷¹, 77, F₅, 54) (dual of [77, 6, 55]-code)	Constructive and linear	[i]
80	Linear OA(5⁷⁵, 81, F₅, 57) (dual of [81, 6, 58]-code)	Constructive and linear	[i]
81	Linear OA(5⁸², 88, F₅, 63) (dual of [88, 6, 64]-code)	Constructive and linear	[i]
82	Linear OA(5⁸⁵, 91, F₅, 65) (dual of [91, 6, 66]-code)	Constructive and linear	[i]
83	Linear OA(5³³, 40, F₅, 24) (dual of [40, 7, 25]-code)	Constructive and linear	[i]
84	Linear OA(5⁴¹, 48, F₅, 30) (dual of [48, 7, 31]-code)	Constructive and linear	[i]
85	Linear OA(5⁶⁵, 72, F₅, 47) (dual of [72, 7, 48]-code)	Constructive and linear	[i]
86	Linear OA(5⁷³, 80, F₅, 53) (dual of [80, 7, 54]-code)	Constructive and linear	[i]
87	Linear OA(5²⁴, 32, F₅, 17) (dual of [32, 8, 18]-code)	Constructive and linear	[i]
88	Linear OA(5²⁸, 36, F₅, 20) (dual of [36, 8, 21]-code)	Constructive and linear	[i]
89	Linear OA(5³², 40, F₅, 22) (dual of [40, 8, 23]-code)	Constructive and linear	[i]
90	Linear OA(5³⁷, 45, F₅, 26) (dual of [45, 8, 27]-code)	Constructive and linear	[i]
91	Linear OA(5⁴⁰, 48, F₅, 28) (dual of [48, 8, 29]-code)	Constructive and linear	[i]
92	Linear OA(5⁴⁸, 56, F₅, 34) (dual of [56, 8, 35]-code)	Constructive and linear	[i]
93	Linear OA(5⁵⁶, 64, F₅, 40) (dual of [64, 8, 41]-code)	Constructive and linear	[i]
94	Linear OA(5⁶⁴, 72, F₅, 46) (dual of [72, 8, 47]-code)	Constructive and linear	[i]
95	Linear OA(5⁷², 80, F₅, 52) (dual of [80, 8, 53]-code)	Constructive and linear	[i]
96	Linear OA(5⁸⁰, 88, F₅, 58) (dual of [88, 8, 59]-code)	Constructive and linear	[i]
97	Linear OA(3¹⁴³, 154, F₃, 85) (dual of [154, 11, 86]-code)	Constructive and linear	[i]
98	Linear OA(3¹⁵⁴, 165, F₃, 92) (dual of [165, 11, 93]-code)	Constructive and linear	[i]
99	Linear OA(5¹¹, 20, F₅, 8) (dual of [20, 9, 9]-code)	Constructive and linear	[i]
100	Linear OA(5³¹, 40, F₅, 21) (dual of [40, 9, 22]-code)	Constructive and linear	[i]

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