MinT - Information on Result #1094623

Information on Result #1094623

Linear OOA(3⁵⁶, 1594323, F₃, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using OA 3-folding and stacking based on linear OA(3⁵⁶, 4782969, F₃, 6) (dual of [4782969, 4782913, 7]-code), using

1 times truncation [i] based on linear OA(3⁵⁷, 4782970, F₃, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 3²⁸âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁷⁶, 3272043, F₃, 5, 12) (dual of [(3272043, 5), 16360039, 13]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²¹⁸, 4390524, F₃, 5, 12) (dual of [(4390524, 5), 21952402, 13]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁹, 1913188, F₃, 5, 13) (dual of [(1913188, 5), 9565771, 14]-NRT-code)	[i]
4	Linear OOA(3¹⁷⁰, 1913194, F₃, 5, 13) (dual of [(1913194, 5), 9565800, 14]-NRT-code)	[i]
5	Linear OOA(3¹⁷³, 1913200, F₃, 5, 13) (dual of [(1913200, 5), 9565827, 14]-NRT-code)	[i]
6	Linear OOA(3¹⁷⁶, 1913202, F₃, 5, 13) (dual of [(1913202, 5), 9565834, 14]-NRT-code)	[i]
7	Linear OOA(3¹⁷⁷, 3272043, F₃, 5, 13) (dual of [(3272043, 5), 16360038, 14]-NRT-code)	[i]
8	Linear OOA(3²³³, 4866366, F₃, 5, 13) (dual of [(4866366, 5), 24331597, 14]-NRT-code)	[i]
9	Linear OOA(3²⁰⁴, 4866365, F₃, 5, 13) (dual of [(4866365, 5), 24331621, 14]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
10	Linear OOA(3²⁰⁵, 4866366, F₃, 5, 13) (dual of [(4866366, 5), 24331625, 14]-NRT-code)	[i]
11	Linear OOA(3²⁰³, 4866365, F₃, 5, 12) (dual of [(4866365, 5), 24331622, 13]-NRT-code)	[i]
12	Linear OOA(3⁵⁶, 1594323, F₃, 6, 6) (dual of [(1594323, 6), 9565882, 7]-NRT-code)	[i]	Appending kth Column