MinT - Information on Result #1059689

Information on Result #1059689

Linear OOA(3¹⁴⁶, 4194301, F₃, 4, 11) (dual of [(4194301, 4), 16777058, 12]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴⁶, 8388602, F₃, 2, 11) (dual of [(8388602, 2), 16777058, 12]-NRT-code), using

trace code [i] based on linear OOA(9⁷³, 4194301, F₉, 2, 11) (dual of [(4194301, 2), 8388529, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9⁷³, 8388602, F₉, 11) (dual of [8388602, 8388529, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(9⁷³, large, F₉, 11) (dual of [large, large−73, 12]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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(3¹⁵⁰, 4194302, F₃, 4, 11) (dual of [(4194302, 4), 16777058, 12]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁴⁷, 4194301, F₃, 4, 11) (dual of [(4194301, 4), 16777057, 12]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3¹⁴⁸, 4194301, F₃, 4, 11) (dual of [(4194301, 4), 16777056, 12]-NRT-code)	[i]
4	Linear OOA(3¹⁴⁹, 4194301, F₃, 4, 11) (dual of [(4194301, 4), 16777055, 12]-NRT-code)	[i]
5	Linear OOA(3¹⁵¹, 4194305, F₃, 4, 11) (dual of [(4194305, 4), 16777069, 12]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(3¹⁵², 4194308, F₃, 4, 11) (dual of [(4194308, 4), 16777080, 12]-NRT-code)	[i]
7	Linear OOA(3¹⁵³, 4194312, F₃, 4, 11) (dual of [(4194312, 4), 16777095, 12]-NRT-code)	[i]
8	Linear OOA(3¹⁵⁴, 4194319, F₃, 4, 11) (dual of [(4194319, 4), 16777122, 12]-NRT-code)	[i]
9	Linear OOA(3¹⁵⁵, 4194329, F₃, 4, 11) (dual of [(4194329, 4), 16777161, 12]-NRT-code)	[i]
10	Linear OOA(3¹⁵⁶, 4194339, F₃, 4, 11) (dual of [(4194339, 4), 16777200, 12]-NRT-code)	[i]
11	Linear OOA(3¹⁵⁷, 4194378, F₃, 4, 11) (dual of [(4194378, 4), 16777355, 12]-NRT-code)	[i]
12	Linear OOA(3¹⁵⁸, 4194396, F₃, 4, 11) (dual of [(4194396, 4), 16777426, 12]-NRT-code)	[i]
13	Linear OOA(3¹⁵⁹, 4194404, F₃, 4, 11) (dual of [(4194404, 4), 16777457, 12]-NRT-code)	[i]
14	Linear OOA(3¹⁶³, 4194531, F₃, 4, 11) (dual of [(4194531, 4), 16777961, 12]-NRT-code)	[i]