MinT - Information on Result #1008922

Information on Result #1008922

Linear OOA(8⁷⁴, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using trace code based on linear OOA(64³⁷, 2796201, F₆₄, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using

OOA 3-folding [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(8⁷⁷, 5592403, F₈, 3, 10) (dual of [(5592403, 3), 16777132, 11]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(8⁷⁵, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777131, 11]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(8⁷⁶, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777130, 11]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(8⁷⁹, 5592411, F₈, 3, 10) (dual of [(5592411, 3), 16777154, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(8⁸⁰, 5592416, F₈, 3, 10) (dual of [(5592416, 3), 16777168, 11]-NRT-code)	[i]
6	Linear OOA(8⁸¹, 5592430, F₈, 3, 10) (dual of [(5592430, 3), 16777209, 11]-NRT-code)	[i]
7	Linear OOA(8⁸³, 5592467, F₈, 3, 10) (dual of [(5592467, 3), 16777318, 11]-NRT-code)	[i]
8	Linear OOA(8⁸⁴, 5592532, F₈, 3, 10) (dual of [(5592532, 3), 16777512, 11]-NRT-code)	[i]
9	Linear OOA(8⁸⁶, 5592562, F₈, 3, 10) (dual of [(5592562, 3), 16777600, 11]-NRT-code)	[i]
10	Linear OOA(8⁸⁷, 5594418, F₈, 3, 10) (dual of [(5594418, 3), 16783167, 11]-NRT-code)	[i]
11	Linear OOA(8⁸⁸, 5596434, F₈, 3, 10) (dual of [(5596434, 3), 16789214, 11]-NRT-code)	[i]
12	Linear OOA(8⁸⁹, 5596435, F₈, 3, 10) (dual of [(5596435, 3), 16789216, 11]-NRT-code)	[i]
13	Linear OOA(8⁹⁰, 5596443, F₈, 3, 10) (dual of [(5596443, 3), 16789239, 11]-NRT-code)	[i]
14	Linear OOA(8⁹¹, 5596507, F₈, 3, 10) (dual of [(5596507, 3), 16789430, 11]-NRT-code)	[i]
15	Linear OOA(8⁹², 5597019, F₈, 3, 10) (dual of [(5597019, 3), 16790965, 11]-NRT-code)	[i]
16	Linear OOA(8⁹³, 5600467, F₈, 3, 10) (dual of [(5600467, 3), 16801308, 11]-NRT-code)	[i]
17	Linear OOA(8⁹⁴, 5604500, F₈, 3, 10) (dual of [(5604500, 3), 16813406, 11]-NRT-code)	[i]
18	Linear OOA(8⁹⁵, 5608788, F₈, 3, 10) (dual of [(5608788, 3), 16826269, 11]-NRT-code)	[i]
19	Linear OOA(8⁹⁶, 5624665, F₈, 3, 10) (dual of [(5624665, 3), 16873899, 11]-NRT-code)	[i]
20	Linear OOA(8⁹⁸, 5624737, F₈, 3, 10) (dual of [(5624737, 3), 16874113, 11]-NRT-code)	[i]
21	Linear OOA(8⁹⁹, 5723476, F₈, 3, 10) (dual of [(5723476, 3), 17170329, 11]-NRT-code)	[i]
22	Linear OOA(8¹⁰⁰, 5854548, F₈, 3, 10) (dual of [(5854548, 3), 17563544, 11]-NRT-code)	[i]
23	Linear OOA(8¹⁰¹, 5854549, F₈, 3, 10) (dual of [(5854549, 3), 17563546, 11]-NRT-code)	[i]
24	Linear OOA(8¹⁰², 5854557, F₈, 3, 10) (dual of [(5854557, 3), 17563569, 11]-NRT-code)	[i]
25	Linear OOA(8¹⁰³, 6640981, F₈, 3, 10) (dual of [(6640981, 3), 19922840, 11]-NRT-code)	[i]
26	Linear OOA(8¹⁰⁴, 6640986, F₈, 3, 10) (dual of [(6640986, 3), 19922854, 11]-NRT-code)	[i]
27	Linear OOA(8¹⁰⁵, 6640990, F₈, 3, 10) (dual of [(6640990, 3), 19922865, 11]-NRT-code)	[i]
28	Linear OOA(8¹⁰⁶, 6641054, F₈, 3, 10) (dual of [(6641054, 3), 19923056, 11]-NRT-code)	[i]
29	Linear OOA(8¹⁰⁷, large, F₈, 3, 10)	[i]
30	Linear OOA(8⁹⁷, 5624666, F₈, 3, 10) (dual of [(5624666, 3), 16873901, 11]-NRT-code)	[i]
31	OOA(8⁸⁶, 5592898, S₈, 3, 10)	[i]
32	OOA(8⁹¹, 5600530, S₈, 3, 10)	[i]
33	OOA(8⁹², 5625042, S₈, 3, 10)	[i]
34	OOA(8⁹³, 5657682, S₈, 3, 10)	[i]
35	OOA(8⁹⁴, 5657683, S₈, 3, 10)	[i]
36	OOA(8⁹⁵, 5657691, S₈, 3, 10)	[i]
37	OOA(8⁹⁶, 5657755, S₈, 3, 10)	[i]
38	OOA(8⁹⁷, 5658267, S₈, 3, 10)	[i]
39	OOA(8⁹⁸, 5662363, S₈, 3, 10)	[i]
40	OOA(8¹⁰², 6116692, S₈, 3, 10)	[i]
41	OOA(8¹⁰⁶, 7689556, S₈, 3, 10)	[i]