MinT - Information on Result #1060198

Information on Result #1060198

Linear OOA(3¹⁵³, 2097151, F₃, 4, 16) (dual of [(2097151, 4), 8388451, 17]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵³, 4194302, F₃, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁵¹, 4194301, F₃, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁵¹, 8388602, F₃, 16) (dual of [8388602, 8388451, 17]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁵¹, large, F₃, 16) (dual of [large, large−151, 17]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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(3¹⁵³, 2097151, F₃, 4, 15) (dual of [(2097151, 4), 8388451, 16]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁵⁷, 2097152, F₃, 4, 16) (dual of [(2097152, 4), 8388451, 17]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁵⁴, 2097151, F₃, 4, 16) (dual of [(2097151, 4), 8388450, 17]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(3¹⁵⁵, 2097151, F₃, 4, 16) (dual of [(2097151, 4), 8388449, 17]-NRT-code)	[i]
5	Linear OOA(3¹⁵⁶, 2097151, F₃, 4, 16) (dual of [(2097151, 4), 8388448, 17]-NRT-code)	[i]
6	Linear OOA(3¹⁶⁷, 2097173, F₃, 4, 16) (dual of [(2097173, 4), 8388525, 17]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
7	Linear OOA(3¹⁷⁷, 2097235, F₃, 4, 16) (dual of [(2097235, 4), 8388763, 17]-NRT-code)	[i]
8	Linear OOA(3¹⁸⁰, 2097265, F₃, 4, 16) (dual of [(2097265, 4), 8388880, 17]-NRT-code)	[i]
9	Linear OOA(3¹⁸⁵, 2097479, F₃, 4, 16) (dual of [(2097479, 4), 8389731, 17]-NRT-code)	[i]