MinT - Information on Result #1060314

Information on Result #1060314

Linear OOA(3¹⁶⁸, 2097151, F₃, 4, 17) (dual of [(2097151, 4), 8388436, 18]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁶⁸, 4194302, F₃, 2, 17) (dual of [(4194302, 2), 8388436, 18]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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(3¹⁷², 2097152, F₃, 4, 17) (dual of [(2097152, 4), 8388436, 18]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁶⁹, 2097151, F₃, 4, 17) (dual of [(2097151, 4), 8388435, 18]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3¹⁷⁰, 2097151, F₃, 4, 17) (dual of [(2097151, 4), 8388434, 18]-NRT-code)	[i]
4	Linear OOA(3¹⁷¹, 2097151, F₃, 4, 17) (dual of [(2097151, 4), 8388433, 18]-NRT-code)	[i]
5	Linear OOA(3¹⁸², 2097173, F₃, 4, 17) (dual of [(2097173, 4), 8388510, 18]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(3¹⁹², 2097235, F₃, 4, 17) (dual of [(2097235, 4), 8388748, 18]-NRT-code)	[i]
7	Linear OOA(3¹⁹⁵, 2097265, F₃, 4, 17) (dual of [(2097265, 4), 8388865, 18]-NRT-code)	[i]
8	Linear OOA(3²⁰⁰, 2097479, F₃, 4, 17) (dual of [(2097479, 4), 8389716, 18]-NRT-code)	[i]