MinT - Information on Result #972083

Information on Result #972083

Linear OOA(5⁹², 4194301, F₅, 3, 10) (dual of [(4194301, 3), 12582811, 11]-NRT-code), using OOA 2-folding based on linear OOA(5⁹², 8388602, F₅, 2, 10) (dual of [(8388602, 2), 16777112, 11]-NRT-code), using

trace code [i] based on linear OOA(25⁴⁶, 4194301, F₂₅, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25⁴⁶, 8388602, F₂₅, 10) (dual of [8388602, 8388556, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(25⁴⁶, large, F₂₅, 10) (dual of [large, large−46, 11]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’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(5⁹⁵, 4194302, F₅, 3, 10) (dual of [(4194302, 3), 12582811, 11]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(5⁹³, 4194301, F₅, 3, 10) (dual of [(4194301, 3), 12582810, 11]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(5⁹⁴, 4194301, F₅, 3, 10) (dual of [(4194301, 3), 12582809, 11]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(5⁹⁷, 4194307, F₅, 3, 10) (dual of [(4194307, 3), 12582824, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(5⁹⁸, 4194311, F₅, 3, 10) (dual of [(4194311, 3), 12582835, 11]-NRT-code)	[i]
6	Linear OOA(5⁹⁹, 4194322, F₅, 3, 10) (dual of [(4194322, 3), 12582867, 11]-NRT-code)	[i]
7	Linear OOA(5¹⁰⁰, 4194334, F₅, 3, 10) (dual of [(4194334, 3), 12582902, 11]-NRT-code)	[i]
8	Linear OOA(5¹⁰¹, 4194347, F₅, 3, 10) (dual of [(4194347, 3), 12582940, 11]-NRT-code)	[i]
9	Linear OOA(5¹⁰², 4194369, F₅, 3, 10) (dual of [(4194369, 3), 12583005, 11]-NRT-code)	[i]
10	Linear OOA(5¹⁰⁴, 4194395, F₅, 3, 10) (dual of [(4194395, 3), 12583081, 11]-NRT-code)	[i]
11	Linear OOA(5¹⁰⁵, 4194601, F₅, 3, 10) (dual of [(4194601, 3), 12583698, 11]-NRT-code)	[i]
12	Linear OOA(5¹⁰⁶, 4194901, F₅, 3, 10) (dual of [(4194901, 3), 12584597, 11]-NRT-code)	[i]
13	Linear OOA(5¹⁰⁷, 4194902, F₅, 3, 10) (dual of [(4194902, 3), 12584599, 11]-NRT-code)	[i]
14	Linear OOA(5¹⁰⁸, 4194907, F₅, 3, 10) (dual of [(4194907, 3), 12584613, 11]-NRT-code)	[i]
15	Linear OOA(5¹⁰⁹, 4194932, F₅, 3, 10) (dual of [(4194932, 3), 12584687, 11]-NRT-code)	[i]
16	Linear OOA(5¹¹⁰, 4195057, F₅, 3, 10) (dual of [(4195057, 3), 12585061, 11]-NRT-code)	[i]
17	Linear OOA(5¹¹¹, 4195502, F₅, 3, 10) (dual of [(4195502, 3), 12586395, 11]-NRT-code)	[i]
18	Linear OOA(5¹¹², 4196103, F₅, 3, 10) (dual of [(4196103, 3), 12588197, 11]-NRT-code)	[i]
19	Linear OOA(5¹¹³, 4196704, F₅, 3, 10) (dual of [(4196704, 3), 12589999, 11]-NRT-code)	[i]
20	Linear OOA(5¹¹⁴, 4197305, F₅, 3, 10) (dual of [(4197305, 3), 12591801, 11]-NRT-code)	[i]
21	Linear OOA(5¹¹⁵, 4198206, F₅, 3, 10) (dual of [(4198206, 3), 12594503, 11]-NRT-code)	[i]
22	Linear OOA(5¹¹⁶, 4202112, F₅, 3, 10) (dual of [(4202112, 3), 12606220, 11]-NRT-code)	[i]
23	Linear OOA(5¹¹⁷, 4202116, F₅, 3, 10) (dual of [(4202116, 3), 12606231, 11]-NRT-code)	[i]
24	Linear OOA(5¹¹⁸, 4209928, F₅, 3, 10) (dual of [(4209928, 3), 12629666, 11]-NRT-code)	[i]
25	Linear OOA(5¹¹⁹, 4209929, F₅, 3, 10) (dual of [(4209929, 3), 12629668, 11]-NRT-code)	[i]
26	Linear OOA(5¹³², 8388602, F₅, 3, 10) (dual of [(8388602, 3), 25165674, 11]-NRT-code)	[i]
27	Linear OOA(5¹⁰⁴, 4194396, F₅, 3, 10) (dual of [(4194396, 3), 12583084, 11]-NRT-code)	[i]