MinT - Information on Result #1059410

Information on Result #1059410

Linear OOA(3⁷⁸, 2097151, F₃, 4, 8) (dual of [(2097151, 4), 8388526, 9]-NRT-code), using OOA 2-folding based on linear OOA(3⁷⁸, 4194302, F₃, 2, 8) (dual of [(4194302, 2), 8388526, 9]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3⁷⁶, 4194301, F₃, 2, 8) (dual of [(4194301, 2), 8388526, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁷⁶, 8388602, F₃, 8) (dual of [8388602, 8388526, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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(3⁷⁹, 2097151, F₃, 4, 8) (dual of [(2097151, 4), 8388525, 9]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3¹⁰⁶, 4194302, F₃, 4, 8) (dual of [(4194302, 4), 16777102, 9]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(3²³⁷, 4194305, F₃, 4, 16) (dual of [(4194305, 4), 16776983, 17]-NRT-code)	[i]
4	Linear OOA(3²³⁸, 4194308, F₃, 4, 16) (dual of [(4194308, 4), 16776994, 17]-NRT-code)	[i]
5	Linear OOA(3²³⁹, 4194309, F₃, 4, 16) (dual of [(4194309, 4), 16776997, 17]-NRT-code)	[i]
6	Linear OOA(3²⁴⁰, 4194312, F₃, 4, 16) (dual of [(4194312, 4), 16777008, 17]-NRT-code)	[i]
7	Linear OOA(3²⁴¹, 4194315, F₃, 4, 16) (dual of [(4194315, 4), 16777019, 17]-NRT-code)	[i]
8	Linear OOA(3²⁴², 4194318, F₃, 4, 16) (dual of [(4194318, 4), 16777030, 17]-NRT-code)	[i]
9	Linear OOA(3²⁴³, 4194323, F₃, 4, 16) (dual of [(4194323, 4), 16777049, 17]-NRT-code)	[i]