MinT - Information on Result #736693

Information on Result #736693

Linear OA(8¹¹⁰, 117, F₈, 90) (dual of [117, 7, 91]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OA(8¹¹⁰, 117, F₈, 89) (dual of [117, 7, 90]-code)	[i]	Strength Reduction
2	Linear OA(8¹¹⁰, 117, F₈, 88) (dual of [117, 7, 89]-code)	[i]	Strength Reduction
3	Linear OA(8¹¹¹, 118, F₈, 90) (dual of [118, 7, 91]-code)	[i]	Code Embedding in Larger Space
4	Linear OA(8¹⁰⁹, 116, F₈, 89) (dual of [116, 7, 90]-code)	[i]	Truncation
5	Linear OA(8¹⁰⁸, 115, F₈, 88) (dual of [115, 7, 89]-code)	[i]
6	Linear OA(8¹⁰⁷, 114, F₈, 87) (dual of [114, 7, 88]-code)	[i]
7	Linear OA(8¹⁰⁶, 113, F₈, 86) (dual of [113, 7, 87]-code)	[i]
8	Linear OA(8¹⁰⁵, 112, F₈, 85) (dual of [112, 7, 86]-code)	[i]
9	Linear OA(8¹⁰⁴, 111, F₈, 84) (dual of [111, 7, 85]-code)	[i]
10	Linear OA(8¹⁰³, 110, F₈, 83) (dual of [110, 7, 84]-code)	[i]
11	Linear OA(8¹⁰², 109, F₈, 82) (dual of [109, 7, 83]-code)	[i]
12	Linear OA(8¹⁰¹, 108, F₈, 81) (dual of [108, 7, 82]-code)	[i]
13	Linear OA(8¹⁰⁰, 107, F₈, 80) (dual of [107, 7, 81]-code)	[i]
14	Linear OA(8⁹⁹, 106, F₈, 79) (dual of [106, 7, 80]-code)	[i]
15	Linear OA(8⁹⁸, 105, F₈, 78) (dual of [105, 7, 79]-code)	[i]
16	Linear OA(8⁹⁶, 103, F₈, 76) (dual of [103, 7, 77]-code)	[i]
17	Linear OA(8⁹⁵, 102, F₈, 75) (dual of [102, 7, 76]-code)	[i]
18	Linear OA(8⁹⁴, 101, F₈, 74) (dual of [101, 7, 75]-code)	[i]
19	Linear OA(8⁹³, 100, F₈, 73) (dual of [100, 7, 74]-code)	[i]
20	Linear OA(8⁹², 99, F₈, 72) (dual of [99, 7, 73]-code)	[i]
21	Linear OA(8⁸⁹, 96, F₈, 69) (dual of [96, 7, 70]-code)	[i]
22	Linear OA(8⁸⁸, 95, F₈, 68) (dual of [95, 7, 69]-code)	[i]
23	Linear OA(8⁸⁷, 94, F₈, 67) (dual of [94, 7, 68]-code)	[i]
24	Linear OA(8⁸⁶, 93, F₈, 66) (dual of [93, 7, 67]-code)	[i]
25	Linear OA(8⁸⁵, 92, F₈, 65) (dual of [92, 7, 66]-code)	[i]
26	Linear OA(8¹³², 139, F₈, 103) (dual of [139, 7, 104]-code)	[i]	Juxtaposition
27	Linear OA(8¹³³, 140, F₈, 104) (dual of [140, 7, 105]-code)	[i]
28	Linear OA(8¹³⁴, 141, F₈, 105) (dual of [141, 7, 106]-code)	[i]
29	Linear OA(8¹⁴¹, 148, F₈, 110) (dual of [148, 7, 111]-code)	[i]
30	Linear OA(8¹⁵⁰, 157, F₈, 117) (dual of [157, 7, 118]-code)	[i]
31	Linear OA(8¹⁵⁴, 161, F₈, 120) (dual of [161, 7, 121]-code)	[i]
32	Linear OA(8¹⁵⁵, 162, F₈, 121) (dual of [162, 7, 122]-code)	[i]
33	Linear OA(8¹⁵⁶, 163, F₈, 122) (dual of [163, 7, 123]-code)	[i]
34	Linear OA(8¹⁵⁷, 164, F₈, 123) (dual of [164, 7, 124]-code)	[i]
35	Linear OA(8¹⁵⁸, 165, F₈, 124) (dual of [165, 7, 125]-code)	[i]
36	Linear OA(8¹⁵⁹, 166, F₈, 125) (dual of [166, 7, 126]-code)	[i]
37	Linear OA(8¹⁶⁰, 167, F₈, 126) (dual of [167, 7, 127]-code)	[i]
38	Linear OA(8¹⁶¹, 168, F₈, 127) (dual of [168, 7, 128]-code)	[i]
39	Linear OA(8¹⁶², 169, F₈, 128) (dual of [169, 7, 129]-code)	[i]
40	Linear OA(8¹⁶³, 170, F₈, 129) (dual of [170, 7, 130]-code)	[i]
41	Linear OA(8¹⁶⁴, 171, F₈, 130) (dual of [171, 7, 131]-code)	[i]
42	Linear OA(8¹⁶⁵, 172, F₈, 131) (dual of [172, 7, 132]-code)	[i]
43	Linear OA(8¹⁶⁶, 173, F₈, 132) (dual of [173, 7, 133]-code)	[i]
44	Linear OA(8¹⁶⁷, 174, F₈, 133) (dual of [174, 7, 134]-code)	[i]
45	Linear OA(8¹⁷¹, 178, F₈, 135) (dual of [178, 7, 136]-code)	[i]
46	Linear OA(8¹⁷², 179, F₈, 136) (dual of [179, 7, 137]-code)	[i]
47	Linear OA(8¹⁷³, 180, F₈, 137) (dual of [180, 7, 138]-code)	[i]
48	Linear OOA(8¹¹⁰, 58, F₈, 2, 90) (dual of [(58, 2), 6, 91]-NRT-code)	[i]	OOA Folding
49	Linear OOA(8¹¹⁰, 39, F₈, 3, 90) (dual of [(39, 3), 7, 91]-NRT-code)	[i]	OOA Folding